# zbMATH — the first resource for mathematics

## Brown, Lawrence David

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 Author ID: brown.lawrence-d Published as: Brown, L.; Brown, L. D.; Brown, Lawrence; Brown, Lawrence D. Homepage: http://www-stat.wharton.upenn.edu/~lbrown/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 128 Publications since 1964, including 1 Book Biographic References: 4 Publications
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#### Co-Authors

 30 single-authored 12 Cai, Tony Tony 11 Cohen, Arthur 8 Zhao, Linda H. 7 Zhao, Linda 6 Buja, Andreas 6 Low, Mark G. 6 Strawderman, William Edward 5 DasGupta, Anirban 5 George, Edward I. 4 Berk, Richard A. 4 Farrell, Roger Hamlin 4 Hwang, Jiunn Tzon 4 Zhang, Cun-Hui 3 Berk, Robert H. 3 Greenshtein, Eitan 3 Hwang, J. T. Gene 3 Liu, Richard Chieng 3 Marden, John I. 3 Wang, Lie 3 Zhang, Kai 3 Zhou, Harrison H. 2 Adler, Robert Joseph 2 Berger, James Orvis 2 Casella, George 2 Fox, Martin D. 2 Kou, S. C. 2 Kuchibhotla, Arun Kumar 2 Lin, Yi 2 Mc Carthy, Daniel P. 2 Munk, Axel 2 Shen, Haipeng 2 Weinstein, Asaf 2 Wolpert, Robert L. 2 Xie, Xianchao 1 Aldor-Noiman, Sivan 1 Bock, Mary Ellen 1 Cai, Junhui 1 Carter, Andrew V. 1 Chow, Mosuk 1 Doshi, Bharat T. 1 Ernst, Philip A. 1 Fong, Duncan K. H. 1 Fox, Emily B. 1 Fu, Xin 1 Fuki, Igar 1 Gajek, Lesław 1 Gans, Noah 1 Gleser, Leon Jay 1 Haff, L. R. 1 Han, Xu 1 Ighodaro, Ayodele 1 Johnstone, Iain M. 1 Levine, Matthew S. 1 Levine, Michael V. 1 Levine, Michael W. 1 Li, Xuefeng 1 Lu, Kunliang 1 Ma, Zhuang 1 MacGibbon, Brenda 1 Mandelbaum, Avi 1 Mukherjee, Gourab 1 Nagaraja, Chaitra H. 1 Pitkin, Emil 1 Politis, Dimitris Nicolas 1 Purves, Roger Alexander 1 Rinott, Yosef 1 Ritov, Ya’acov 1 Ruymgaart, Frits H. 1 Sackrowitz, Harold B. 1 Sakov, Anat 1 Samuel-Cahn, Ester 1 Santner, Thomas J. 1 Shepp, Lawrence Alan 1 Stine, Robert A. 1 Stroud, Jonathan R. 1 Traskin, Mikhail 1 Truax, Donald R. 1 Tseng, Yu-Ling 1 Wang, Yazhen 1 Weinberg, Jonathan 1 Wong, Wengkee 1 Xu, Xinyi 1 Zeltyn, Sergey 1 Zhang, Anru 1 Zhang, Ren 1 Zhao, Zhanyun
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#### Serials

 60 The Annals of Statistics 11 Journal of the American Statistical Association 6 Statistica Sinica 6 Annals of Mathematical Statistics 5 Journal of Statistical Planning and Inference 4 Journal of Multivariate Analysis 4 Statistical Science 2 IEEE Transactions on Information Theory 2 The Annals of Probability 2 Statistics & Probability Letters 2 The Annals of Applied Statistics 1 The Canadian Journal of Statistics 1 Biometrical Journal 1 Sankhyā. Series A. Methods and Techniques 1 Statistica Neerlandica 1 Probability and Mathematical Statistics 1 Probability Theory and Related Fields 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 Journal of Nonparametric Statistics 1 Applied Stochastic Models in Business and Industry 1 Journal of the Society for Industrial & Applied Mathematics 1 Institute of Mathematical Statistics Lecture Notes - Monograph Series 1 Electronic Journal of Statistics
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#### Fields

 119 Statistics (62-XX) 16 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

112 Publications have been cited 2,023 times in 1,508 Documents Cited by Year
Fundamentals of statistical exponential families with applications in statistical decision theory. Zbl 0685.62002
Brown, Lawrence D.
1986
Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G.
1996
Statistical analysis of a telephone call center: A queueing-science perspective. Zbl 1117.62303
Brown, Lawrence; Gans, Noah; Mandelbaum, Avishai; Sakov, Anat; Shen, Haipeng; Zeltyn, Sergey; Zhao, Linda
2005
Admissible estimators, recurrent diffusions, and insoluble boundary value problems. Zbl 0246.62016
Brown, L. D.
1971
Interval estimation for a binomial proportion. (With comments and a rejoinder). Zbl 1059.62533
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2001
Inadmissibility of the usual estimators of scale parameters in problems with unknown location and scale parameters. Zbl 0162.49901
Brown, L.
1968
Measurable selections of extrema. Zbl 0265.28003
Brown, L. D.; Purves, R.
1973
On the admissibility of invariant estimators of one or more location parameters. Zbl 0156.39401
Brown, L. D.
1966
Confidence intervals for a binomial proportion and asymptotic expansions. Zbl 1012.62026
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2002
Valid post-selection inference. Zbl 1267.62080
Berk, Richard; Brown, Lawrence; Buja, Andreas; Zhang, Kai; Zhao, Linda
2013
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G.
1996
Point and confidence estimation of a common mean and recovery of interblock information. Zbl 0305.62019
Brown, L. D.; Cohen, Arthur
1974
Variance estimation in nonparametric regression via the difference sequence method. Zbl 1126.62024
Brown, Lawrence D.; Levine, M.
2007
Wavelet shrinkage for nonequispaced samples. Zbl 0929.62047
Cai, T. Tony; Brown, Lawrence D.
1998
Variation diminishing transformations: A direct approach to total positivity and its statistical applications. Zbl 0481.62021
Brown, Lawrence D.; Johnstone, Iain M.; MacGibbon, K. Brenda
1981
Nonparametric empirical Bayes and compound decision approaches to estimation of a high-dimensional vector of normal means. Zbl 1166.62005
Brown, Lawrence D.; Greenshtein, Eitan
2009
Effect of mean on variance function estimation in nonparametric regression. Zbl 1133.62033
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony; Levine, Michael
2008
Asymptotic equivalence theory for nonparametric regression with random design. Zbl 1029.62044
Brown, Lawrence D.; Cai, T. Tony; Low, Mark G.; Zhang, Cun-Hui
2002
A difference based approach to the semiparametric partial linear model. Zbl 1329.62179
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony
2011
An ancillarity paradox which appears in multiple linear regression. Zbl 0721.62011
Brown, Lawrence D.
1990
The root-unroot algorithm for density estimation as implemented via wavelet block thresholding. Zbl 1180.62055
Brown, Lawrence; Cai, Tony; Zhang, Ren; Zhao, Linda; Zhou, Harrison
2010
Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift. Zbl 1062.62083
Brown, Lawrence D.; Carter, Andrew V.; Low, Mark G.; Zhang, Cun-Hui
2004
A unified conditional frequentist and Bayesian test for fixed and sequential simple hypothesis testing. Zbl 0824.62002
Berger, James O.; Brown, Lawrence D.; Wolpert, Robert L.
1994
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H.
1997
Minimax estimation of a normal mean vector for arbitrary quadratic loss and unknown covariance matrix. Zbl 0356.62009
Berger, J.; Bock, M. E.; Brown, L. D.; Casella, G.; Gleser, L.
1977
Bayesian forecasting of an inhomogeneous Poisson process with applications to call center data. Zbl 1333.62297
Weinberg, Jonathan; Brown, Lawrence D.; Stroud, Jonathan R.
2007
Admissible predictive density estimation. Zbl 1216.62012
Brown, Lawrence D.; George, Edward I.; Xu, Xinyi
2008
Wavelet estimation for samples with random uniform design. Zbl 0940.62037
Cai, T. Tony; Brown, Lawrence D.
1999
Asymptotic nonequivalence of nonparametric experiments when the smoothness index is $$1/2$$. Zbl 0932.62061
Brown, Lawrence D.; Zhang, Cun-Hui
1998
In-season prediction of batting averages: a field test of empirical Bayes and Bayes methodologies. Zbl 1137.62419
Brown, Lawrence D.
2008
A heuristic method for determining admissibility of estimators - with applications. Zbl 0414.62011
Brown, Lawrence D.
1979
SURE estimates for a heteroscedastic hierarchical model. Zbl 1284.62450
Xie, Xianchao; Kou, S. C.; Brown, Lawrence D.
2012
A complete class theorem for statistical problems with finite sample spaces. Zbl 0476.62006
Brown, Lawrence D.
1981
Information inequalities for the Bayes risk. Zbl 0722.62003
Brown, Lawrence D.; Gajek, Leslaw
1990
Non-local asymptotic optimality of appropriate likelihood ratio tests. Zbl 0247.62008
Brown, L. D.
1971
Robust nonparametric estimation via wavelet median regression. Zbl 1148.62019
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.
2008
Interval estimation in exponential families. Zbl 1017.62027
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2003
An unbiased test for the bioequivalence problem. Zbl 0905.62107
Brown, Lawrence D.; Hwang, J. T. Gene; Munk, Axel
1997
Estimation with incompletely specified loss functions (the case of several location parameters). Zbl 0333.62013
Brown, Lawrence D.
1975
The conditional level of Student’s t test. Zbl 0171.16703
Brown, L.
1967
A unified admissibility proof. Zbl 0585.62016
Brown, Lawrence D.; Hwang, Jiunn Tzon
1982
A complete class theorem for strict monotone likelihood ratio with applications. Zbl 0336.62021
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1976
Nonparametric regression in exponential families. Zbl 1202.62050
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.
2010
Optimal confidence sets, bioequivalence, and the limaçon of Pascal. Zbl 0842.62089
Brown, Lawrence D.; Casella, George; Hwang, J. T. Gene
1995
Tail behaviour for suprema of empirical processes. Zbl 0596.62053
Adler, Robert J.; Brown, Lawrence D.
1986
The heat equation and Stein’s identity: connections, applications. Zbl 1088.62004
Brown, L.; Dasgupta, A.; Haff, L. R.; Strawderman, W. E.
2006
Admissibility in discrete and continuous invariant nonparametric estimation problems and in their multinomial analogs. Zbl 0684.62017
Brown, Lawrence D.
1988
Statistical properties of the method of regularization with periodic Gaussian reproducing kernel. Zbl 1045.62026
Lin, Yi; Brown, Lawrence D.
2004
All admissible linear estimators of a multivariate Poisson mean. Zbl 0575.62009
Brown, L. D.; Farrell, R. H.
1985
Confidence intervals for two sample binomial distribution. Zbl 1087.62041
Brown, Lawrence; Li, Xuefeng
2005
On the statistical equivalence at suitable frequencies of GARCH and stochastic volatility models with the corresponding diffusion model. Zbl 1034.62105
Brown, Lawrence D.; Wang, Yazhen; Zhao, Linda H.
2003
Good exact confidence sets for a multivariate normal mean. Zbl 0882.62027
Tseng, Yu-Ling; Brown, Lawrence D.
1997
Nonexistence of informative unbiased estimators in singular problems. Zbl 0783.62026
Liu, Richard C.; Brown, Lawrence D.
1993
Universal domination and stochastic domination: U-admissibility and U- inadmissibility of the least squares estimator. Zbl 0674.62007
Brown, Lawrence D.; Hwang, Jiunn T.
1989
Admissiblity of procedures in two-dimensional location parameter problems. Zbl 0287.62004
Brown, Lawrence D.; Fox, Martin
1974
Group-linear empirical Bayes estimates for a heteroscedastic normal mean. Zbl 1398.62067
Weinstein, Asaf; Ma, Zhuang; Brown, Lawrence D.; Zhang, Cun-Hui
2018
Estimated confidence under the validity constraint. Zbl 0755.62007
Hwang, Jiunn T.; Brown, Lawrence D.
1991
A necessary condition for admissibility. Zbl 0444.62013
Brown, Lawrence D.
1980
Sufficient statistics in the case of independent random variables. Zbl 0133.12002
Brown, L. D.
1964
The Poisson compound decision problem revisited. Zbl 06195975
Brown, Lawrence D.; Greenshtein, Eitan; Ritov, Ya’acov
2013
Minimaxity, more or less. Zbl 0787.62002
Brown, Lawrence D.
1994
Information inequality bounds on the minimax risk (with an application to nonparametric regression). Zbl 0736.62019
Brown, Lawrence D.; Low, Mark G.
1991
Complete class results for hypothesis testing problems with simple null hypotheses. Zbl 0685.62008
Brown, Lawrence D.; Marden, John I.
1989
Complete class theorems for estimation of multivariate Poisson means and related problems. Zbl 0591.62005
Brown, L. D.; Farrell, R. H.
1985
A contribution to Kiefer’s theory of conditional confidence procedures. Zbl 0383.62008
Brown, Lawrence D.
1978
Admissibility in statistical problems involving a location or scale parameter. Zbl 0285.62004
Brown, Lawrence D.; Fox, Martin
1974
Non-parametric modelling of time-varying customer service times at a bank call centre. Zbl 1114.62055
Shen, Haipeng; Brown, Lawrence D.
2006
Examples of Berger’s phenomenon in the estimation of independent normal means. Zbl 0447.62009
Brown, L.
1980
Monotonicity of Bayes sequential tests. Zbl 0423.62060
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1979
Empirical Bayes estimates for a two-way cross-classified model. Zbl 1403.62015
Brown, Lawrence D.; Mukherjee, Gourab; Weinstein, Asaf
2018
A semiparametric multivariate partially linear model: a difference approach. Zbl 1353.62043
Brown, Lawrence D.; Levine, Michael; Wang, Lie
2016
An autoregressive approach to house price modeling. Zbl 1220.62109
Nagaraja, Chaitra H.; Brown, Lawrence D.; Zhao, Linda H.
2011
Estimators for Gaussian models having a block-wise structure. Zbl 1166.62050
Brown, Lawrence D.; Zhao, Linda H.
2009
An essay on statistical decision theory. Zbl 1009.62502
Brown, Lawrence D.
2000
An algorithmic construction of optimal minimax designs for heteroscedastic linear models. Zbl 0961.62065
Brown, Lawrence D.; Wong, Weng Kee
2000
A lower bound for the risk in estimating the value of a probability density. Zbl 0717.62031
Brown, Lawrence D.; Farrell, Roger H.
1990
A sharp necessary condition for admissibility of sequential tests - necessary and sufficient conditions for admissibility of SPRT’s. Zbl 0539.62093
Brown, L. D.; Cohen, Arthur; Samuel-Cahn, E.
1983
Admissibility and complete class results for the multinomial estimation problem with entropy and squared error loss. Zbl 0539.62009
Ighodaro, Ayodele; Santner, Thomas; Brown, Lawrence
1982
Counterexample - An inadmissible estimator which is generalized Bayes for a prior with ”light” tails. Zbl 0409.62040
Brown, Lawrence D.
1979
Closure theorems for sequential-design processes. Zbl 0415.62061
Brown, Lawrence D.
1977
A test for the Poisson distribution. Zbl 1192.62127
Brown, Lawrence D.; Zhao, Linda H.
2002
Testing average equivalence – finding a compromise between theory and practice. Zbl 0968.62079
Munk, Axel; Hwang, J. T. Gene; Brown, Lawrence D.
2000
On the admissibility of the maximum-likelihood estimator of the binomial variance. Zbl 0764.62004
Brown, Lawrence D.; Chow, Mosuk; Fong, Duncan K. H.
1992
Proof of a necessary and sufficient condition for admissibility in discrete multivariate problems. Zbl 0659.62011
Brown, L. D.; Farrell, R. H.
1988
Inequalities for multivariate infinitely divisible processes. Zbl 0646.60018
Brown, Lawrence D.; Rinott, Yosef
1988
A proof of the central limit theorem motivated by the Cramer-Rao inequality. Zbl 0484.60019
Brown, Lawrence D.
1982
On the admissibility or inadmissibility of fixed sample size tests in a sequential setting. Zbl 0403.62058
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1979
Correction to “Admissible estimators, recurrent diffusions, and insoluble boundary value problems”. Zbl 0262.62009
Brown, L. D.
1973
Calibrated percentile double bootstrap for robust linear regression inference. Zbl 1406.62076
McCarthy, Daniel; Zhang, Kai; Brown, Lawrence D.; Berk, Richard; Buja, Andreas; George, Edward I.; Zhao, Linda
2018
Optimal shrinkage estimation of mean parameters in family of distributions with quadratic variance. Zbl 1347.60017
Xie, Xianchao; Kou, S. C.; Brown, Lawrence
2016
A geometrical explanation of Stein shrinkage. Zbl 1330.62282
Brown, Lawrence D.; Zhao, Linda H.
2012
An information inequality for the Bayes risk under truncated squared error loss. Zbl 0798.62012
Brown, Lawrence D.
1993
Local admissibility and local unbiasedness in hypothesis testing problems. Zbl 0767.62006
Brown, Lawrence D.; Marden, John I.
1992
Two-sided sequential tests. Zbl 0774.62085
Brown, Lawrence D.; Greenshtein, Eitan
1992
A note on the Tukey-Kramer procedure for pairwise comparisons of correlated means. Zbl 0559.62059
Brown, Lawrence D.
1984
Hodges-Lehmann efficacies for likelihood ratio type tests in curved bivariate normal families. Zbl 0555.62024
Brown, L. D.; Ruymgaart, F. H.; Truax, D. R.
1984
Inadmissibility of large classes of sequential tests. Zbl 0487.62064
Brown, L. D.; Cohen, Arthur
1981
Complete classes for sequential tests of hypotheses. Zbl 0429.62058
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1980
Models as approximations. I. Consequences illustrated with linear regression. Zbl 1440.62020
Buja, Andreas; Brown, Lawrence; Berk, Richard; George, Edward; Pitkin, Emil; Traskin, Mikhail; Zhang, Kai; Zhao, Linda
2019
Spatio-temporal low count processes with application to violent crime events. Zbl 1356.62131
Aldor-Noiman, Sivan; Brown, Lawrence D.; Fox, Emily B.; Stine, Robert A.
2016
Models as approximations. I. Consequences illustrated with linear regression. Zbl 1440.62020
Buja, Andreas; Brown, Lawrence; Berk, Richard; George, Edward; Pitkin, Emil; Traskin, Mikhail; Zhang, Kai; Zhao, Linda
2019
Group-linear empirical Bayes estimates for a heteroscedastic normal mean. Zbl 1398.62067
Weinstein, Asaf; Ma, Zhuang; Brown, Lawrence D.; Zhang, Cun-Hui
2018
Empirical Bayes estimates for a two-way cross-classified model. Zbl 1403.62015
Brown, Lawrence D.; Mukherjee, Gourab; Weinstein, Asaf
2018
Calibrated percentile double bootstrap for robust linear regression inference. Zbl 1406.62076
McCarthy, Daniel; Zhang, Kai; Brown, Lawrence D.; Berk, Richard; Buja, Andreas; George, Edward I.; Zhao, Linda
2018
A semiparametric multivariate partially linear model: a difference approach. Zbl 1353.62043
Brown, Lawrence D.; Levine, Michael; Wang, Lie
2016
Optimal shrinkage estimation of mean parameters in family of distributions with quadratic variance. Zbl 1347.60017
Xie, Xianchao; Kou, S. C.; Brown, Lawrence
2016
Spatio-temporal low count processes with application to violent crime events. Zbl 1356.62131
Aldor-Noiman, Sivan; Brown, Lawrence D.; Fox, Emily B.; Stine, Robert A.
2016
Discussion: “A significance test for the lasso”. Zbl 1305.62249
Buja, A.; Brown, L.
2014
Valid post-selection inference. Zbl 1267.62080
Berk, Richard; Brown, Lawrence; Buja, Andreas; Zhang, Kai; Zhao, Linda
2013
The Poisson compound decision problem revisited. Zbl 06195975
Brown, Lawrence D.; Greenshtein, Eitan; Ritov, Ya’acov
2013
SURE estimates for a heteroscedastic hierarchical model. Zbl 1284.62450
Xie, Xianchao; Kou, S. C.; Brown, Lawrence D.
2012
A geometrical explanation of Stein shrinkage. Zbl 1330.62282
Brown, Lawrence D.; Zhao, Linda H.
2012
A difference based approach to the semiparametric partial linear model. Zbl 1329.62179
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony
2011
An autoregressive approach to house price modeling. Zbl 1220.62109
Nagaraja, Chaitra H.; Brown, Lawrence D.; Zhao, Linda H.
2011
Confidence intervals for nonparametric regression. Zbl 1359.62154
Brown, Lawrence D.; Fu, Xin; Zhao, Linda H.
2011
The root-unroot algorithm for density estimation as implemented via wavelet block thresholding. Zbl 1180.62055
Brown, Lawrence; Cai, Tony; Zhang, Ren; Zhao, Linda; Zhou, Harrison
2010
Nonparametric regression in exponential families. Zbl 1202.62050
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.
2010
Nonparametric empirical Bayes and compound decision approaches to estimation of a high-dimensional vector of normal means. Zbl 1166.62005
Brown, Lawrence D.; Greenshtein, Eitan
2009
Estimators for Gaussian models having a block-wise structure. Zbl 1166.62050
Brown, Lawrence D.; Zhao, Linda H.
2009
Effect of mean on variance function estimation in nonparametric regression. Zbl 1133.62033
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony; Levine, Michael
2008
Admissible predictive density estimation. Zbl 1216.62012
Brown, Lawrence D.; George, Edward I.; Xu, Xinyi
2008
In-season prediction of batting averages: a field test of empirical Bayes and Bayes methodologies. Zbl 1137.62419
Brown, Lawrence D.
2008
Robust nonparametric estimation via wavelet median regression. Zbl 1148.62019
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.
2008
Alternative formulas for synthetic dual system estimation in the 2000 census. Zbl 1166.62007
Brown, Lawrence; Zhao, Zhanyun
2008
Variance estimation in nonparametric regression via the difference sequence method. Zbl 1126.62024
Brown, Lawrence D.; Levine, M.
2007
Bayesian forecasting of an inhomogeneous Poisson process with applications to call center data. Zbl 1333.62297
Weinberg, Jonathan; Brown, Lawrence D.; Stroud, Jonathan R.
2007
The heat equation and Stein’s identity: connections, applications. Zbl 1088.62004
Brown, L.; Dasgupta, A.; Haff, L. R.; Strawderman, W. E.
2006
Non-parametric modelling of time-varying customer service times at a bank call centre. Zbl 1114.62055
Shen, Haipeng; Brown, Lawrence D.
2006
Statistical analysis of a telephone call center: A queueing-science perspective. Zbl 1117.62303
Brown, Lawrence; Gans, Noah; Mandelbaum, Avishai; Sakov, Anat; Shen, Haipeng; Zeltyn, Sergey; Zhao, Linda
2005
Confidence intervals for two sample binomial distribution. Zbl 1087.62041
Brown, Lawrence; Li, Xuefeng
2005
Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift. Zbl 1062.62083
Brown, Lawrence D.; Carter, Andrew V.; Low, Mark G.; Zhang, Cun-Hui
2004
Statistical properties of the method of regularization with periodic Gaussian reproducing kernel. Zbl 1045.62026
Lin, Yi; Brown, Lawrence D.
2004
Interval estimation in exponential families. Zbl 1017.62027
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2003
On the statistical equivalence at suitable frequencies of GARCH and stochastic volatility models with the corresponding diffusion model. Zbl 1034.62105
Brown, Lawrence D.; Wang, Yazhen; Zhao, Linda H.
2003
Racetrack betting and consensus of subjective probabilities. Zbl 1116.60300
Brown, Lawrence D.; Lin, Yi
2003
Confidence intervals for a binomial proportion and asymptotic expansions. Zbl 1012.62026
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2002
Asymptotic equivalence theory for nonparametric regression with random design. Zbl 1029.62044
Brown, Lawrence D.; Cai, T. Tony; Low, Mark G.; Zhang, Cun-Hui
2002
A test for the Poisson distribution. Zbl 1192.62127
Brown, Lawrence D.; Zhao, Linda H.
2002
Interval estimation for a binomial proportion. (With comments and a rejoinder). Zbl 1059.62533
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2001
An essay on statistical decision theory. Zbl 1009.62502
Brown, Lawrence D.
2000
An algorithmic construction of optimal minimax designs for heteroscedastic linear models. Zbl 0961.62065
Brown, Lawrence D.; Wong, Weng Kee
2000
Testing average equivalence – finding a compromise between theory and practice. Zbl 0968.62079
Munk, Axel; Hwang, J. T. Gene; Brown, Lawrence D.
2000
Wavelet estimation for samples with random uniform design. Zbl 0940.62037
Cai, T. Tony; Brown, Lawrence D.
1999
Wavelet shrinkage for nonequispaced samples. Zbl 0929.62047
Cai, T. Tony; Brown, Lawrence D.
1998
Asymptotic nonequivalence of nonparametric experiments when the smoothness index is $$1/2$$. Zbl 0932.62061
Brown, Lawrence D.; Zhang, Cun-Hui
1998
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H.
1997
An unbiased test for the bioequivalence problem. Zbl 0905.62107
Brown, Lawrence D.; Hwang, J. T. Gene; Munk, Axel
1997
Good exact confidence sets for a multivariate normal mean. Zbl 0882.62027
Tseng, Yu-Ling; Brown, Lawrence D.
1997
Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G.
1996
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G.
1996
Optimal confidence sets, bioequivalence, and the limaçon of Pascal. Zbl 0842.62089
Brown, Lawrence D.; Casella, George; Hwang, J. T. Gene
1995
Complete classes for confidence set estimation. Zbl 0824.62024
Brown, L. D.; Cohen, Arthur
1995
A unified conditional frequentist and Bayesian test for fixed and sequential simple hypothesis testing. Zbl 0824.62002
Berger, James O.; Brown, Lawrence D.; Wolpert, Robert L.
1994
Minimaxity, more or less. Zbl 0787.62002
Brown, Lawrence D.
1994
Nonexistence of informative unbiased estimators in singular problems. Zbl 0783.62026
Liu, Richard C.; Brown, Lawrence D.
1993
An information inequality for the Bayes risk under truncated squared error loss. Zbl 0798.62012
Brown, Lawrence D.
1993
Bounds on the Bayes and minimax risk for signal parameter estimation. Zbl 0818.62084
Brown, Lawrence D.; Liu, Richard C.
1993
On the admissibility of the maximum-likelihood estimator of the binomial variance. Zbl 0764.62004
Brown, Lawrence D.; Chow, Mosuk; Fong, Duncan K. H.
1992
Local admissibility and local unbiasedness in hypothesis testing problems. Zbl 0767.62006
Brown, Lawrence D.; Marden, John I.
1992
Two-sided sequential tests. Zbl 0774.62085
Brown, Lawrence D.; Greenshtein, Eitan
1992
Estimated confidence under the validity constraint. Zbl 0755.62007
Hwang, Jiunn T.; Brown, Lawrence D.
1991
Information inequality bounds on the minimax risk (with an application to nonparametric regression). Zbl 0736.62019
Brown, Lawrence D.; Low, Mark G.
1991
An ancillarity paradox which appears in multiple linear regression. Zbl 0721.62011
Brown, Lawrence D.
1990
Information inequalities for the Bayes risk. Zbl 0722.62003
Brown, Lawrence D.; Gajek, Leslaw
1990
A lower bound for the risk in estimating the value of a probability density. Zbl 0717.62031
Brown, Lawrence D.; Farrell, Roger H.
1990
Universal domination and stochastic domination: U-admissibility and U- inadmissibility of the least squares estimator. Zbl 0674.62007
Brown, Lawrence D.; Hwang, Jiunn T.
1989
Complete class results for hypothesis testing problems with simple null hypotheses. Zbl 0685.62008
Brown, Lawrence D.; Marden, John I.
1989
Admissibility in discrete and continuous invariant nonparametric estimation problems and in their multinomial analogs. Zbl 0684.62017
Brown, Lawrence D.
1988
Proof of a necessary and sufficient condition for admissibility in discrete multivariate problems. Zbl 0659.62011
Brown, L. D.; Farrell, R. H.
1988
Inequalities for multivariate infinitely divisible processes. Zbl 0646.60018
Brown, Lawrence D.; Rinott, Yosef
1988
Fundamentals of statistical exponential families with applications in statistical decision theory. Zbl 0685.62002
Brown, Lawrence D.
1986
Tail behaviour for suprema of empirical processes. Zbl 0596.62053
Adler, Robert J.; Brown, Lawrence D.
1986
Some limitation on Stein’s phenomenon. Zbl 0603.62002
Brown, L. D.; Hwang, J. T.
1986
All admissible linear estimators of a multivariate Poisson mean. Zbl 0575.62009
Brown, L. D.; Farrell, R. H.
1985
Complete class theorems for estimation of multivariate Poisson means and related problems. Zbl 0591.62005
Brown, L. D.; Farrell, R. H.
1985
A note on the Tukey-Kramer procedure for pairwise comparisons of correlated means. Zbl 0559.62059
Brown, Lawrence D.
1984
Hodges-Lehmann efficacies for likelihood ratio type tests in curved bivariate normal families. Zbl 0555.62024
Brown, L. D.; Ruymgaart, F. H.; Truax, D. R.
1984
The research of Jack Kiefer outside the area of experimental design. Zbl 0549.01017
Brown, Lawrence D.
1984
An alternative to Student’s t-test for problems with indifference zones. Zbl 0544.62023
Brown, Lawrence D.; Sackrowitz, Harold
1984
A sharp necessary condition for admissibility of sequential tests - necessary and sufficient conditions for admissibility of SPRT’s. Zbl 0539.62093
Brown, L. D.; Cohen, Arthur; Samuel-Cahn, E.
1983
A unified admissibility proof. Zbl 0585.62016
Brown, Lawrence D.; Hwang, Jiunn Tzon
1982
Admissibility and complete class results for the multinomial estimation problem with entropy and squared error loss. Zbl 0539.62009
Ighodaro, Ayodele; Santner, Thomas; Brown, Lawrence
1982
A proof of the central limit theorem motivated by the Cramer-Rao inequality. Zbl 0484.60019
Brown, Lawrence D.
1982
Variation diminishing transformations: A direct approach to total positivity and its statistical applications. Zbl 0481.62021
Brown, Lawrence D.; Johnstone, Iain M.; MacGibbon, K. Brenda
1981
A complete class theorem for statistical problems with finite sample spaces. Zbl 0476.62006
Brown, Lawrence D.
1981
Inadmissibility of large classes of sequential tests. Zbl 0487.62064
Brown, L. D.; Cohen, Arthur
1981
Properties of Bayes sequential tests. Zbl 0478.62066
Berk, R. H.; Brown, L. D.; Cohen, Arthur
1981
A necessary condition for admissibility. Zbl 0444.62013
Brown, Lawrence D.
1980
Examples of Berger’s phenomenon in the estimation of independent normal means. Zbl 0447.62009
Brown, L.
1980
Complete classes for sequential tests of hypotheses. Zbl 0429.62058
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1980
A heuristic method for determining admissibility of estimators - with applications. Zbl 0414.62011
Brown, Lawrence D.
1979
Monotonicity of Bayes sequential tests. Zbl 0423.62060
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1979
Counterexample - An inadmissible estimator which is generalized Bayes for a prior with ”light” tails. Zbl 0409.62040
Brown, Lawrence D.
1979
On the admissibility or inadmissibility of fixed sample size tests in a sequential setting. Zbl 0403.62058
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1979
A contribution to Kiefer’s theory of conditional confidence procedures. Zbl 0383.62008
Brown, Lawrence D.
1978
Berk, Robert H.; Brown, L. D.
1978
Minimax estimation of a normal mean vector for arbitrary quadratic loss and unknown covariance matrix. Zbl 0356.62009
Berger, J.; Bock, M. E.; Brown, L. D.; Casella, G.; Gleser, L.
1977
Closure theorems for sequential-design processes. Zbl 0415.62061
Brown, Lawrence D.
1977
A complete class theorem for strict monotone likelihood ratio with applications. Zbl 0336.62021
Brown, L. D.; Cohen, Arthur; Strawderman, W. E.
1976
Estimation with incompletely specified loss functions (the case of several location parameters). Zbl 0333.62013
Brown, Lawrence D.
1975
...and 12 more Documents
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#### Cited by 1,870 Authors

 40 Brown, Lawrence David 29 Cai, Tony Tony 28 Strawderman, William Edward 22 Kubokawa, Tatsuya 21 Low, Mark G. 14 Kourouklis, Stavros 14 Marchand, Eric 14 Nowak, Andrzej S. 14 Rukhin, Andrew L. 13 Berger, James Orvis 13 Efromovich, Sam 13 Fourdrinier, Dominique 12 DasGupta, Anirban 12 Whitt, Ward 12 Zhou, Harrison H. 11 Ghosh, Malay 11 Jaśkiewicz, Anna 11 Peña, Juan Manuel 10 Munk, Axel 10 Wang, Hsiuying 10 Zhang, Cun-Hui 9 George, Edward I. 9 Maruyama, Yuzo 9 Pal, Nabendu 9 Rinaldo, Alessandro 9 Roozbeh, Mahdi 9 Shinozaki, Nobuo 9 Van der Vaart, Adrianus Willem 9 Zhao, Linda H. 8 Belitser, Eduard 8 Dey, Dipak Kumar 8 Greenshtein, Eitan 8 Johnstone, Iain M. 8 Mandelbaum, Avi 8 Ritov, Ya’acov 8 Sen, Pranab Kumar 8 Sinha, Bimal Kumar 8 Tong, Tiejun 7 Arashi, Mohammad 7 Casella, George 7 Dalalyan, Arnak S. 7 Parsian, Ahmad 7 Pensky, Marianna 7 Ramanan, Kavita 7 Reiß, Markus 7 Wasserman, Larry Alan 7 Zhao, Linda 6 Bobotas, Panayiotis 6 Buja, Andreas 6 Cai, Tianwen Tony 6 Carter, Andrew V. 6 Cohen, Arthur 6 Ermakov, Mikhaĭl Sergeevich 6 Hwang, J. T. Gene 6 Krishnamoorthy, Kalyanam 6 Kumar, Somesh 6 Liu, Yunan 6 Shen, Haipeng 6 Xu, Xinyi 5 Akdeniz, Fikri 5 Antoniadis, Anestis 5 Bigot, Jéremie 5 Birgé, Lucien 5 Candès, Emmanuel J. 5 Chesneau, Christophe 5 Chicken, Eric 5 Chikuse, Yasuko 5 Dette, Holger 5 Diaconis, Persi Warren 5 Donoho, David Leigh 5 Efron, Bradley 5 Hall, Peter Gavin 5 Jokiel-Rokita, Alicja 5 L’Ecuyer, Pierre 5 MacGibbon, Brenda 5 Martin, Ryan R. 5 Meeden, Glen D. 5 Morettin, Pedro Alberto 5 Robert, Christian P. 5 Vajda, Igor 5 Wang, Lie 5 Wells, Martin T. 5 Yu, Qiqing 4 Balder, Erik J. 4 Berk, Richard A. 4 Bhattacharya, C. G. 4 Bühlmann, Peter 4 Chow, Mosuk 4 Consonni, Guido 4 Cortés, Vanesa 4 De Canditiis, Daniela 4 Farsipour, N. Sanjari 4 Fienberg, Stephen Elliot 4 Geyer, Charles J. 4 Huang, Jianhua Z. 4 Hwang, Jiunn Tzon 4 Iliopoulos, George 4 Ingster, Yuriĭ Izmaĭlovich 4 Kuchibhotla, Arun Kumar 4 Kulik, Rafał ...and 1,770 more Authors
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#### Cited in 209 Serials

 147 The Annals of Statistics 132 Journal of Statistical Planning and Inference 107 Communications in Statistics. Theory and Methods 94 Journal of Multivariate Analysis 78 Statistics & Probability Letters 50 Annals of the Institute of Statistical Mathematics 46 Statistical Science 45 Electronic Journal of Statistics 30 Computational Statistics and Data Analysis 27 Bernoulli 24 The Canadian Journal of Statistics 23 Journal of Statistical Computation and Simulation 21 Journal of Econometrics 21 European Journal of Operational Research 19 Journal of the American Statistical Association 18 Statistics 18 Test 17 Probability Theory and Related Fields 17 Queueing Systems 17 Communications in Statistics. Simulation and Computation 17 Journal of Applied Statistics 16 Metrika 16 The Annals of Applied Statistics 15 Scandinavian Journal of Statistics 15 The Annals of Applied Probability 13 Mathematical Methods of Statistics 13 Journal of Nonparametric Statistics 12 Journal of Mathematical Analysis and Applications 12 Stochastic Processes and their Applications 10 Sequential Analysis 10 Journal of the Korean Statistical Society 9 Kybernetika 9 Statistical Papers 8 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 8 Econometric Theory 8 Sankhyā. Series A 7 Journal of Soviet Mathematics 7 Operations Research 7 Operations Research Letters 7 Computational Statistics 7 Linear Algebra and its Applications 7 Journal of the Royal Statistical Society. Series B. Statistical Methodology 7 Probability in the Engineering and Informational Sciences 6 Biometrics 6 Journal of Computational and Applied Mathematics 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Mathematical Psychology 5 Computers & Operations Research 5 Australian & New Zealand Journal of Statistics 5 Statistical Inference for Stochastic Processes 5 Statistical Methods and Applications 5 Journal of Statistical Theory and Practice 5 SIAM/ASA Journal on Uncertainty Quantification 4 Psychometrika 4 The Annals of Probability 4 Statistica Neerlandica 4 Statistical Methodology 4 AStA. Advances in Statistical Analysis 3 Biological Cybernetics 3 Journal of Computational Physics 3 Automatica 3 Journal of Optimization Theory and Applications 3 Manuscripta Mathematica 3 Mathematics of Operations Research 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Insurance Mathematics & Economics 3 International Journal of Approximate Reasoning 3 Journal of Theoretical Probability 3 Neural Networks 3 Economics Letters 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Applied and Computational Harmonic Analysis 3 Journal of Mathematical Sciences (New York) 3 Scandinavian Actuarial Journal 3 Entropy 3 Journal of Machine Learning Research (JMLR) 3 Science China. Mathematics 3 Journal of Probability and Statistics 3 Statistics and Computing 3 Bayesian Analysis 3 Japanese Journal of Statistics and Data Science 2 Advances in Applied Probability 2 Journal of Statistical Physics 2 Problems of Information Transmission 2 Applied Mathematics and Computation 2 Biometrical Journal 2 International Statistical Review 2 Journal of Differential Equations 2 Journal of Economic Theory 2 Journal of Functional Analysis 2 Naval Research Logistics 2 SIAM Journal on Control and Optimization 2 Theory and Decision 2 Trabajos de Estadistica y de Investigacion Operativa 2 Advances in Applied Mathematics 2 Journal of Information & Optimization Sciences 2 Journal of Time Series Analysis 2 Optimization 2 Aequationes Mathematicae 2 SIAM Review ...and 109 more Serials
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#### Cited in 47 Fields

 1,296 Statistics (62-XX) 216 Probability theory and stochastic processes (60-XX) 146 Numerical analysis (65-XX) 118 Operations research, mathematical programming (90-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 50 Computer science (68-XX) 30 Information and communication theory, circuits (94-XX) 23 Systems theory; control (93-XX) 21 Partial differential equations (35-XX) 19 Biology and other natural sciences (92-XX) 16 Combinatorics (05-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Functional analysis (46-XX) 12 Measure and integration (28-XX) 9 History and biography (01-XX) 7 Approximations and expansions (41-XX) 7 Convex and discrete geometry (52-XX) 6 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 General topology (54-XX) 3 Commutative algebra (13-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

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