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Author ID: brunk.h-d Recent zbMATH articles by "Brunk, Hugh D."
Published as: Brunk, H. D.; Brunk, Hugh
External Links: MGP
Documents Indexed: 47 Publications since 1945, including 3 Books
Co-Authors: 20 Co-Authors with 17 Joint Publications
181 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 1,141 times in 899 Documents Cited by Year
Statistical inference under order restrictions. The theory and application of isotonic regression. Zbl 0246.62038
Barlow, R. E.; Bartholomew, D. J.; Bremner, J. M.; Brunk, H. D.
545
1972
An empirical distribution function for sampling with incomplete information. Zbl 0066.38502
Ayer, Miriam; Brunk, H. D.; Ewing, G. M.; Reid, W. T.; Silverman, Edward
175
1955
Maximum likelihood estimates of monotone parameters. Zbl 0066.38503
Brunk, H. D.
72
1955
The isotonic regression problem and its dual. Zbl 0236.62050
Barlow, R. E.; Brunk, H. D.
52
1972
On the estimation of parameters restricted by inequalities. Zbl 0087.34302
Brunk, H. D.
50
1958
Maximum likelihood estimation of the distributions of two stochastically ordered random variables. Zbl 0146.40101
Brunk, H. D.; Franck, W. E.; Hanson, D. L.; Hogg, R. V.
32
1966
Conditional expectation given a \(\sigma\)-lattice and applications. Zbl 0144.39503
Brunk, H. D.
26
1965
Univariate density estimation by orthogonal series. Zbl 0401.62030
Brunk, H. D.
17
1978
Distribution of likelihood ratio in testing against trend. Zbl 0255.62022
Boswell, M. T.; Brunk, H. D.
16
1969
Minimizing integrals in certain classes of monotone functions. Zbl 0080.34101
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
15
1957
Uniform inequalities for conditional \(p\)-means given \(\sigma\)-lattices. Zbl 0323.60052
Brunk, H. D.
14
1975
A generalized Radon-Nikodym derivative. Zbl 0183.48302
Brunk, H. D.; Johansen, S.
14
1970
The strong law of large numbers. Zbl 0030.20003
Brunk, H. D.
12
1948
On an inequality for convex functions. Zbl 0071.27902
Brunk, H. D.
11
1956
Integral inequalities for functions with nondecreasing increments. Zbl 0133.30601
Brunk, H. D.
11
1964
On an extension of the concept conditional expectation. Zbl 0146.37502
Brunk, H. D.
11
1963
On the range of the difference between hypothetical distribution function and Pyke’s modified empirical distribution function. Zbl 0212.21801
Brunk, H. D.
9
1962
Generalized means and associated families of distributions. Zbl 0181.45803
Brons, H. K.; Brunk, H. D.; Franck, W. E.; Hanson, D. L.
8
1969
An introduction to mathematical statistics. Zbl 0089.14201
Brunk, H. D.
8
1960
Some Helly theorems for monotone functions. Zbl 0072.05201
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
6
1956
Best fit to a random variable by a random variable measurable with respect to a \(\sigma\)-lattice. Zbl 0212.21701
Brunk, H. D.
4
1961
Mathematical models for ranking from paired comparisons. Zbl 0101.11902
Brunk, H. D.
4
1960
On a theorem of E. Sparre Andersen and its application to tests against trend. Zbl 0097.13402
Brunk, H. D.
4
1961
A generalization of Spitzer’s combinatorial lemma. Zbl 0129.29902
Brunk, H. D.
4
1964
Bayesian least squares estimates of univariate regression functions. Zbl 0497.62055
Brunk, H. D.
3
1980
An introduction to mathematical statistics. (Pure and Applied Sciences.) 2nd ed. Zbl 0131.17401
Brunk, H. D.
3
1965
Estimation of discrete multivariate densities for computer-aided differential diagnosis of disease. Zbl 0294.62055
Brunk, H. D.; Pierce, Donald A.
2
1974
On the application of the individual ergodic theorem to discrete stochastic processes. Zbl 0068.12301
Brunk, H. D.
2
1955
Bayes least squares linear estimation of densities. Zbl 0565.62017
Shih, John; Brunk, H. D.
2
1984
Bayes least squares linear regression is asymptotically full Bayes: Estimation of spectral densities. Zbl 0695.62219
Brunk, H. D.
2
1989
Fully coherent inference. Zbl 0737.62001
Brunk, H. D.
2
1991
Estimation of stimulus-response curves by Bayesian least squares. Zbl 0464.62099
Brunk, H. D.
1
1981
L\({}_ 1\) and \(L_ 2\) cross-validation for density estimation with special reference to orthogonal expansions. Zbl 0726.62053
Rossi, R.; Brunk, H. D.
1
1988
Roots of the one-sided N-shift. Zbl 0202.33703
Blum, J. R.; Brunk, H. D.; Hanson, D. L.
1
1967
Large sample posterior normality of the population mean. Zbl 0365.62018
Brunk, H. D.; Pierce, Donald A.
1
1977
An inequality involving powers of sums of powers. Zbl 0379.28010
Brunk, H. D.; Martin, N. F. G.
1
1978
Fully coherent inference. Zbl 0737.62001
Brunk, H. D.
2
1991
Bayes least squares linear regression is asymptotically full Bayes: Estimation of spectral densities. Zbl 0695.62219
Brunk, H. D.
2
1989
L\({}_ 1\) and \(L_ 2\) cross-validation for density estimation with special reference to orthogonal expansions. Zbl 0726.62053
Rossi, R.; Brunk, H. D.
1
1988
Bayes least squares linear estimation of densities. Zbl 0565.62017
Shih, John; Brunk, H. D.
2
1984
Estimation of stimulus-response curves by Bayesian least squares. Zbl 0464.62099
Brunk, H. D.
1
1981
Bayesian least squares estimates of univariate regression functions. Zbl 0497.62055
Brunk, H. D.
3
1980
Univariate density estimation by orthogonal series. Zbl 0401.62030
Brunk, H. D.
17
1978
An inequality involving powers of sums of powers. Zbl 0379.28010
Brunk, H. D.; Martin, N. F. G.
1
1978
Large sample posterior normality of the population mean. Zbl 0365.62018
Brunk, H. D.; Pierce, Donald A.
1
1977
Uniform inequalities for conditional \(p\)-means given \(\sigma\)-lattices. Zbl 0323.60052
Brunk, H. D.
14
1975
Estimation of discrete multivariate densities for computer-aided differential diagnosis of disease. Zbl 0294.62055
Brunk, H. D.; Pierce, Donald A.
2
1974
Statistical inference under order restrictions. The theory and application of isotonic regression. Zbl 0246.62038
Barlow, R. E.; Bartholomew, D. J.; Bremner, J. M.; Brunk, H. D.
545
1972
The isotonic regression problem and its dual. Zbl 0236.62050
Barlow, R. E.; Brunk, H. D.
52
1972
A generalized Radon-Nikodym derivative. Zbl 0183.48302
Brunk, H. D.; Johansen, S.
14
1970
Distribution of likelihood ratio in testing against trend. Zbl 0255.62022
Boswell, M. T.; Brunk, H. D.
16
1969
Generalized means and associated families of distributions. Zbl 0181.45803
Brons, H. K.; Brunk, H. D.; Franck, W. E.; Hanson, D. L.
8
1969
Roots of the one-sided N-shift. Zbl 0202.33703
Blum, J. R.; Brunk, H. D.; Hanson, D. L.
1
1967
Maximum likelihood estimation of the distributions of two stochastically ordered random variables. Zbl 0146.40101
Brunk, H. D.; Franck, W. E.; Hanson, D. L.; Hogg, R. V.
32
1966
Conditional expectation given a \(\sigma\)-lattice and applications. Zbl 0144.39503
Brunk, H. D.
26
1965
An introduction to mathematical statistics. (Pure and Applied Sciences.) 2nd ed. Zbl 0131.17401
Brunk, H. D.
3
1965
Integral inequalities for functions with nondecreasing increments. Zbl 0133.30601
Brunk, H. D.
11
1964
A generalization of Spitzer’s combinatorial lemma. Zbl 0129.29902
Brunk, H. D.
4
1964
On an extension of the concept conditional expectation. Zbl 0146.37502
Brunk, H. D.
11
1963
On the range of the difference between hypothetical distribution function and Pyke’s modified empirical distribution function. Zbl 0212.21801
Brunk, H. D.
9
1962
Best fit to a random variable by a random variable measurable with respect to a \(\sigma\)-lattice. Zbl 0212.21701
Brunk, H. D.
4
1961
On a theorem of E. Sparre Andersen and its application to tests against trend. Zbl 0097.13402
Brunk, H. D.
4
1961
An introduction to mathematical statistics. Zbl 0089.14201
Brunk, H. D.
8
1960
Mathematical models for ranking from paired comparisons. Zbl 0101.11902
Brunk, H. D.
4
1960
On the estimation of parameters restricted by inequalities. Zbl 0087.34302
Brunk, H. D.
50
1958
Minimizing integrals in certain classes of monotone functions. Zbl 0080.34101
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
15
1957
On an inequality for convex functions. Zbl 0071.27902
Brunk, H. D.
11
1956
Some Helly theorems for monotone functions. Zbl 0072.05201
Brunk, H. D.; Ewing, G. M.; Utz, W. R.
6
1956
An empirical distribution function for sampling with incomplete information. Zbl 0066.38502
Ayer, Miriam; Brunk, H. D.; Ewing, G. M.; Reid, W. T.; Silverman, Edward
175
1955
Maximum likelihood estimates of monotone parameters. Zbl 0066.38503
Brunk, H. D.
72
1955
On the application of the individual ergodic theorem to discrete stochastic processes. Zbl 0068.12301
Brunk, H. D.
2
1955
The strong law of large numbers. Zbl 0030.20003
Brunk, H. D.
12
1948
all top 5

Cited by 1,282 Authors

15 Durot, Cécile
11 Hu, Xiaomi
10 Dette, Holger
10 Tripathy, Manas Ranjan
10 Wellner, Jon August
9 Dykstra, Richard L.
9 Groeneboom, Piet
9 Sen, Bodhisattva
8 Brunk, Hugh D.
8 Landers, Dieter
8 Mukerjee, Hari
8 Rogge, Lothar
8 Sen, Pranab Kumar
7 Ghosal, Subhashis
7 Meyer, Mary C.
7 Pečarić, Josip
7 Shinozaki, Nobuo
7 Singh, Harshinder
6 Balabdaoui, Fadoua
6 Bazyari, Abouzar
6 El Barmi, Hammou
6 Guntuboyina, Adityanand
6 Jongbloed, Geurt
6 Kumar, Somesh
6 Lim, Johan
6 Lopuhaä, Hendrik P.
6 Matrán, Carlos
6 Qin, Jing
6 Samworth, Richard J.
6 Wright, F. T.
5 Balakrishnan, Narayanaswamy
5 Belzunce, Félix
5 Chang, Yuan-Tsung
5 Cuesta-Albertos, Juan Antonio
5 Favier, Sergio J.
5 Lee, Chu-In Charles
5 Sasabuchi, Syoichi
5 Stout, Quentin F.
5 Wen, Chi-Chung
5 Yu, Qiqing
5 Yuan, Ao
4 Agresti, Alan
4 Anevski, Dragi
4 Banerjee, Moulinath
4 Bartoszewicz, Jarosław
4 Bhattacharya, Rabi N.
4 Burdakov, Oleg P.
4 Chatterjee, Sabyasachi
4 Cook, Richard J.
4 D’Ambra, Antonello
4 Davidov, Ori
4 Domínguez Menchero, José Santos
4 Dümbgen, Lutz
4 Foygel Barber, Rina
4 Gill, Amar Nath
4 Hansohm, Jürgen
4 Iverson, Geoffrey J.
4 Jewell, Nicholas P.
4 Kochar, Subhash C.
4 Kulatunga, D. D. Sarath
4 Kuriki, Satoshi
4 Misra, Neeraj Kumar
4 Oono, Youhei
4 Paula, Gilberto Alvarenga
4 Ruiz, José-María
4 Samaniego, Francisco J.
4 Sampson, Allan R.
4 Shiraishi, Taka-aki
4 Singh, Bahadur
4 Singh, Parminder
4 Tian, Guoliang
4 Wang, Xinlei
4 Wilbur, W. John
3 Acinas, Sonia E.
3 Amenta, Pietro
3 Balakrishnan, Sivaraman
3 Bhattacharya, Bhaskar
3 Birke, Melanie
3 Chakraborty, Moumita
3 Chakravarti, Nilotpal
3 Chen, Baojiang
3 Chi, Eric C.
3 Chistyakov, Vyacheslav V.
3 Cuesta, Juan Antonio
3 D’Ambra, Luigi
3 Du, Jiang
3 Falmagne, Jean-Claude
3 González-Rodríguez, Gil
3 Gordaliza, Alfonso
3 Hall, Peter Gavin
3 Han, Qiyang
3 Hochbaum, Dorit S.
3 Hoijtink, Herbert
3 Huang, Jian
3 Jana, Nabakumar
3 Jena, Adarsha Kumar
3 Kamps, Udo
3 Khan, Asif Raza
3 Kruskal, Joseph B. jun.
3 Li, Pengfei
...and 1,182 more Authors
all top 5

Cited in 182 Serials

89 Journal of Statistical Planning and Inference
62 Statistics & Probability Letters
53 The Annals of Statistics
47 Computational Statistics and Data Analysis
33 Journal of Multivariate Analysis
33 Communications in Statistics. Theory and Methods
27 Annals of the Institute of Statistical Mathematics
25 Electronic Journal of Statistics
22 Communications in Statistics. Simulation and Computation
17 Psychometrika
17 Journal of Mathematical Psychology
16 Journal of Econometrics
16 Journal of Statistical Computation and Simulation
14 The Canadian Journal of Statistics
14 Biometrics
12 Lifetime Data Analysis
12 Journal of Nonparametric Statistics
11 Journal of Approximation Theory
11 Statistical Science
10 Journal of Mathematical Analysis and Applications
10 Metrika
10 Proceedings of the American Mathematical Society
10 European Journal of Operational Research
10 Bernoulli
10 Journal of Applied Statistics
9 Scandinavian Journal of Statistics
9 Journal of Machine Learning Research (JMLR)
9 The Annals of Applied Statistics
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Machine Learning
8 Statistics and Computing
7 Journal of Optimization Theory and Applications
7 Statistical Papers
6 Journal of the American Statistical Association
6 Statistica Neerlandica
6 Statistics
6 Journal of Systems Science and Complexity
5 Trabajos de Estadistica y de Investigacion Operativa
5 Mathematical Programming. Series A. Series B
4 Mathematical Social Sciences
4 Statistical Applications in Genetics and Molecular Biology
4 Journal of Statistical Theory and Practice
3 Periodica Mathematica Hungarica
3 Biometrical Journal
3 Numerical Functional Analysis and Optimization
3 Statistica
3 International Journal of Approximate Reasoning
3 Annals of Operations Research
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Abstract and Applied Analysis
3 Statistical Methods and Applications
3 Statistical Methodology
3 Journal of Computational and Graphical Statistics
2 The American Statistician
2 Computers & Mathematics with Applications
2 Discrete Applied Mathematics
2 Mathematical Biosciences
2 Journal of Computational and Applied Mathematics
2 Journal of Computer and System Sciences
2 Journal of Soviet Mathematics
2 Manuscripta Mathematica
2 Mathematics and Computers in Simulation
2 Metron
2 Operations Research
2 Journal of Classification
2 Algorithmica
2 Mathematical and Computer Modelling
2 Trabajos de Estadistica
2 Computational Statistics
2 Linear Algebra and its Applications
2 Test
2 Mathematical Methods of Statistics
2 Journal of Mathematical Sciences (New York)
2 International Journal of Computer Vision
2 Filomat
2 Data Mining and Knowledge Discovery
2 Journal of the Royal Statistical Society. Series B. Statistical Methodology
2 Brazilian Journal of Probability and Statistics
2 Quantitative Finance
2 Statistics Surveys
2 Journal of Business and Economic Statistics
2 Journal of Agricultural, Biological, and Environmental Statistics
2 Bayesian Analysis
2 Japanese Journal of Statistics and Data Science
1 Discrete Mathematics
1 Journal of Computational Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Mathematics of Computation
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik)
1 British Journal of Mathematical & Statistical Psychology
1 Compositio Mathematica
1 Information Sciences
1 Journal of Differential Equations
1 Journal of Economic Theory
1 Journal of Functional Analysis
1 Kybernetika
1 Mathematische Nachrichten
...and 82 more Serials

Citations by Year