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## Sobel, Milton

Compute Distance To:
 Author ID: sobel.milton Published as: Sobel, M.; Sobel, Milton External Links: MGP · Wikidata
 Documents Indexed: 110 Publications since 1949, including 4 Books Biographic References: 2 Publications
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#### Co-Authors

 14 single-authored 9 Chen, Pinyuen 9 Frankowski, Krzysztof S. 9 Olkin, Ingram 8 Ebneshahrashoob, Morteza 8 Uppuluri, V. R. Rao 6 Gupta, Shanti Swarup 5 Weiss, George-Herbert 4 Gao, Tangan 4 Gibbons, Jean Dickinson 3 Ath, Yontha 3 Bechhofer, Robert E. 3 Bernard, S. R. 3 Dunnett, Charles W. 3 Epstein, Benjamin 3 Kumar, Satindar 3 Sobel, Marc J. 3 Tong, Yung Liang 2 Blumenthal, Saul 2 Elashoff, Robert M. 2 Hadian, Abdollah 2 Hoel, David G. 2 Katz, Leo 2 Rizvi, M. Haseeb 2 Starr, Norman 2 Woodworth, George G. 1 Anderson, Keaven M. 1 Arnold, Jonathan 1 Arrow, Kenneth Joseph 1 Barndorff-Nielsen, Ole Eiler 1 Berry, Donald Arthur 1 Cacoullos, Theophilos 1 Childs, Aaron 1 Christie, Theodore jun. 1 Das Gupta, Somesh 1 Desu, M. Mahamunulu 1 Eaton, Morris L. 1 Graver, Jack E. 1 Hsu, Lifang 1 Kiefer, Jack Carl 1 Lee, Jungkeun 1 Lin, Junyu 1 Moon, John W. 1 Mulekar, Madhuri S. 1 Nebenzahl, Elliott 1 Nestor, C. W. jun. 1 Panchapakesan, Subrahmanian 1 Perlman, Michael D. 1 Pesotchinsky, Leon 1 Rao, Jiesheng 1 Robbins, Herbert Ellis 1 Roth, Arthur J. 1 Savage, I. Richard 1 Savage, Leonard Jimmie 1 Schneiderman, M. A. 1 Wald, Abraham 1 Wells, Martin T. 1 Yen, S. P.
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#### Serials

 15 Annals of Mathematical Statistics 11 Biometrika 7 Communications in Statistics. Theory and Methods 5 Journal of the American Statistical Association 3 Bulletin of Mathematical Biology 3 Statistics & Probability Letters 3 Probability in the Engineering and Informational Sciences 2 The Annals of Statistics 2 Journal of Statistical Planning and Inference 2 Naval Research Logistics 2 Sankhyā. Series A. Methods and Techniques 2 American Journal of Mathematical and Management Sciences 2 Sequential Analysis 2 Congressus Numerantium 1 American Mathematical Monthly 1 The American Statistician 1 The Canadian Journal of Statistics 1 Discrete Mathematics 1 Mathematical Biosciences 1 Psychometrika 1 Theory of Probability and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Biometrics 1 Journal of Combinatorial Theory. Series B 1 Journal of Multivariate Analysis 1 Proceedings of the American Mathematical Society 1 Studia Scientiarum Mathematicarum Hungarica 1 Statistics & Decisions 1 Journal of Statistical Computation and Simulation 1 Methodology and Computing in Applied Probability 1 Classics in Applied Mathematics 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
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#### Fields

 64 Statistics (62-XX) 21 Probability theory and stochastic processes (60-XX) 9 Combinatorics (05-XX) 5 Special functions (33-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

79 Publications have been cited 956 times in 737 Documents Cited by Year
Selecting and ordering populations: A new statistical methodology. Zbl 0464.62022
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
1977
Some theorems relevant to life testing from an exponential distribution. Zbl 0056.38203
Epstein, B.; Sobel, M.
1954
Life testing. Zbl 0051.36502
Epstein, Benjamin; Sobel, Milton
1953
A bivariate generalization of Student’s $$t$$-distribution, with tables for certain special cases. Zbl 0056.36703
Dunnett, Charles W.; Sobel, Milton
1954
Sequential identification and ranking procedures, with special reference to Koopman-Darmois populations. Zbl 0208.44601
Bechhofer, Robert E.; Kiefer, Jack; Sobel, Milton
1968
Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas. Zbl 0695.60016
Ebneshahrashoob, M.; Sobel, Milton
1990
Inequalities on the probability content of convex regions for elliptically contoured distributions. Zbl 0253.60021
Das Gupta, S.; Olkin, I.; Savage, L. J.; Eaton, M. L.; Perlman, M.; Sobel, M.
1972
Approximations to the probability integral and certain percentage points of a multivariate analogue of Student’s $$t$$-distribution. Zbl 0064.38501
Dunnett, C. W.; Sobel, M.
1955
On selecting a subset which contains all populations better than a standard. Zbl 0088.12601
Gupta, Shanti S.; Sobel, Milton
1958
On the distribution of the number of admissible points in a vector random sample. Zbl 0278.60007
Barndorff-Nielsen, O.; Sobel, Milton
1966
On a statistic which arises in selection and ranking problems. Zbl 0080.35504
Gupta, Shanti S.; Sobel, Milton
1957
A single-sample multiple decision procedure for ranking variances of normal populations. Zbl 0056.13001
Bechhofer, Robert E.; Sobel, Milton
1954
A sequential decision procedure for choosing one of three hypotheses concerning the unknown mean of a normal distribution. Zbl 0034.23001
Sobel, Milton; Wald, Abraham
1949
Sequential life tests in the exponential case. Zbl 0064.13702
Epstein, Benjamin; Sobel, Milton
1955
Dirichlet integrals of type 2 and their applications. Zbl 0586.62197
Sobel, Milton; Uppuluri, V. R. R.; Frankowski, K.
1985
A sequential procedure for selecting the largest of k means. Zbl 0188.49802
Robbins, H.; Sobel, Milton; Starr, N.
1968
Play-the-winner sampling for selecting the better of two binomial populations. Zbl 0195.48803
Sobel, Milton; Weiss, George H.
1970
A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance. Zbl 0056.13002
Bechhofer, Robert E.; Dunnett, Charles W.; Sobel, Milton
1954
Group testing with a new goal, estimation. Zbl 0308.62094
Sobel, Milton; Elashoff, R. M.
1975
Binomial and hypergeometric group-testing. Zbl 0165.21702
Sobel, M.
1968
An inverse-sampling procedure for selecting the most probable even t in a multinomial distribution. Zbl 0223.62078
Cacoullos, Theophilos; Sobel, Milton
1966
Integral expressions for tail probabilities of the multinomial and negative multinomial distributions. Zbl 0129.11702
Olkin, I.; Sobel, M.
1965
On the smallest of several correlated F statistics. Zbl 0124.11207
Gupta, S. S.; Sobel, M.
1962
On selecting a subset containing the population with the smallest variance. Zbl 0114.35003
Gupta, Shanti S.; Sobel, Milton
1962
Incomplete Dirichlet integrals with applications to ordered uniform spacings. Zbl 0454.62020
Rao, J. S.; Sobel, Milton
1980
Nonparametric procedures for selecting a subset cotaining the population with the largest $$\alpha$$-quantile. Zbl 0214.46001
Rizvi, M. H.; Sobel, M.
1967
Quota sampling for multinomial via Dirichlet. Zbl 0781.62133
Sobel, Milton; Ebneshahrashoob, M.
1992
Quota fulfillment times. Zbl 0484.60009
Anderson, Keaven; Sobel, Milton; Uppuluri, V. R. R.
1982
On partitioning a sample with binary-type questions in lieu of collecting observations. Zbl 0465.62014
Arrow, Kenneth J.; Pesotchinsky, Leon; Sobel, Milton
1981
Nonparametric procedures for selecting the $$t$$ populations with the largest $$\alpha$$-quantiles. Zbl 0211.50304
Sobel, M.
1967
Selecting and ordering populations. A new statistical methodology. Repr. of the 1977 ed. Zbl 0923.62028
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
1999
An integrated formulation for selecting the t best of k normal populations. Zbl 0613.62027
Chen, Pinyuen; Sobel, Milton
1987
Admissible and minimax estimation for the multinomial distribution and for k independent binomial distributions. Zbl 0407.62005
Olkin, Ingram; Sobel, Milton
1979
Dirichlet type 1 distribution: Properties and applications. Zbl 0356.62020
Frankowski, K.; Sobel, M.; Uppuluri, V. R. R.
1975
Play-the-winner rule and inverse sampling for selecting the best of $$k \geq 3$$ binomial populations. Zbl 0297.62013
Sobel, Milton; Weiss, George H.
1972
On Bonferroni-type inequalities of the same degree for the probability of unions and intersections. Zbl 0254.60013
Sobel, Milton; Uppuluri, V. R. R.
1972
Selecting a subset containing the best of several binomial populations. Zbl 0099.14202
Gupta, Shanti S.; Sobel, Milton
1960
An essentially complete class of decision functions for certain standard sequential problems. Zbl 0051.10901
Sobel, Milton
1953
A two-stage procedure for choosing the better of two binomial populations. Zbl 0238.62092
Hoel, David G.; Sobel, Milton; Weiss, George H.
1972
Play-the-winner sampling for a fixed sample size binomial selection problem. Zbl 0236.62021
Nebenzahl, Elliott; Sobel, Milton
1972
Selecting the $$t$$-th largest using binary errorless comparisons. Zbl 0216.01502
1970
The 500th anniversary of the sharing problem (the oldest problem in the theory of probability). Zbl 0831.60001
Sobel, Milton; Frankowski, Krzysztof
1994
On a two urn model of Polya-type. Zbl 0445.60011
Bernard, S. R.; Sobel, Milton; Uppuluri, V. R. R.
1981
An improved procedure for selecting the better of two Bernoulli populations. Zbl 0271.62033
Berry, Donald A.; Sobel, Milton
1973
Optimal allocation of observations for partitioning a set of normal populations in comparison with a control. Zbl 0239.62040
Sobel, Milton; Yung Liang Tong
1971
Finding a single defective in binomial group-testing. Zbl 0226.62081
Kumar, Satindar; Sobel, Milton
1971
Nonparametric ranking procedures for comparison with a control. Zbl 0177.46603
Rizvi, M. H.; Sobel, M.; Woodworth, G. G.
1968
Sequential window problems. Zbl 1084.62074
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
2005
Application of Dirichlet integrals for curtailment problems in sampling inspection. Zbl 0666.62096
Sobel, Milton; Ebneshahrashoob, M.; Lin, J. Y.
1989
Sparse and crowded cells and Dirichlet distributions. Zbl 0306.60006
Sobel, Milton; Uppuluri, V. R. R.
1974
On the distribution of a statistic based on ordered uniform chance variables. Zbl 0086.35104
Gupta, Shanti S.; Sobel, Milton
1958
A new formulation for the multinomial selection problem. Zbl 0613.62028
Chen, Pinyuen; Sobel, Milton
1987
Bounds for a k-fold integral for location and scale parameter models with applications to statistical ranking and selection problems. Zbl 0581.62026
Olkin, I.; Sobel, Milton; Tong, Y. L.
1982
Comparison of sampling methods for choosing the best binomial population with delayed observations. Zbl 0309.92003
Hoel, David G.; Sobel, Milton; Weiss, George H.
1975
Symmetric binomial group-testing with three outcomes. Zbl 0252.62036
Sobel, M.; Kumar, S.; Blumenthal, S.
1971
Optimal group testing. Zbl 0206.20401
Sobel, M.
1968
On a generalization of an inequality of Hardy, Littlewood, and Pólya. Zbl 0057.00906
Sobel, Milton
1954
Solutions of some birthday problems using Dirichlet integrals. Zbl 1076.60009
Frankowski, Krzysztof S.; Sobel, Milton
2005
Double window acceptance sampling. Zbl 1162.62399
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
2004
Some conjectured uniformly optimal reliable networks. Zbl 0996.90011
Ath, Yontha; Sobel, Milton
2000
A duality theorem for solving multiple-player multivariate hypergeometric problems. Zbl 0801.60004
Sobel, Milton; Frankowski, Krzysztof
1994
Dirichlet integrals and moments of gamma distribution order statistics. Zbl 0693.62018
Sobel, Milton; Wells, Martin
1990
A subset selection technique for scoring items on a multiple choice test. Zbl 0416.62077
Gibbons, Jean D.; Olkin, Ingram; Sobel, Milton
1979
The Dirichlet-type 1 integral and its applications to multinomial-related problems. Zbl 0419.62022
Sobel, Milton
1977
Selecting the coin with the greatest bias. Zbl 0382.62011
Sobel, Milton; Starr, Norman
1975
Dorfman and $$R_1$$-type procedures for a generalized group-testing problem. Zbl 0327.62072
Lee, Jung-Keun; Sobel, Milton
1972
Ordering the t largest of n items using binary comparisons. Zbl 0221.05019
1970
Fine structure of the ordering of probabilities of rank orders in the two sample case. Zbl 0147.18603
Savage, I. R.; Sobel, M.; Woodworth, G.
1966
Dirichlet-related probability problems and new tools for solving them. Zbl 1054.60007
Sobel, Milton; Childs, Aaron
2002
Extensions of gambler’s ruin with even odds: multinomial and other models. Zbl 0993.60101
Sobel, Milton; Frankowski, Krzysztof
2002
Venn diagrams, coupon collections, bingo games and Dirichlet distributions. Zbl 0912.60019
Sobel, Milton; Frankowski, Krzysztof
1997
Hypergeometric analogues of multinomial type-2 problems via Dirichlet methodology. Zbl 0848.62043
Sobel, Milton; Frankowski, Krzysztof
1995
Hypergeometric analogues of multinomial type-$$1$$ Dirichlet problems. Zbl 0845.62040
Sobel, Milton; Frankowski, K.
1994
Selecting among the multinomial losers. Zbl 0804.62072
Chen, Pinyuen; Panchapakesan, S.; Sobel, Milton
1994
Entropy-based optimal group-testing procedures. Zbl 1134.94338
Chen, Pinyuen; Hsu, Lifang; Sobel, Milton
1987
Nonparametric selection of the smallest-dispersion population. Zbl 0658.62034
Sobel, Milton
1985
On the distribution of the time required to remove white balls from an urn. Zbl 0577.60015
Sobel, Milton; Bernard, S. R.; Uppuluri, V. R. R.
1985
Recent results on using the play the winner sampling rule with binomial selection problems. Zbl 0271.62032
Sobel, Milton; Weiss, George H.
1972
Nonparametric procedures for selecting fixed-size subsets. Zbl 0243.62030
Desu, M. M.; Sobel, Milton
1971
Sequential window problems. Zbl 1084.62074
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
2005
Solutions of some birthday problems using Dirichlet integrals. Zbl 1076.60009
Frankowski, Krzysztof S.; Sobel, Milton
2005
Double window acceptance sampling. Zbl 1162.62399
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
2004
Dirichlet-related probability problems and new tools for solving them. Zbl 1054.60007
Sobel, Milton; Childs, Aaron
2002
Extensions of gambler’s ruin with even odds: multinomial and other models. Zbl 0993.60101
Sobel, Milton; Frankowski, Krzysztof
2002
Some conjectured uniformly optimal reliable networks. Zbl 0996.90011
Ath, Yontha; Sobel, Milton
2000
Selecting and ordering populations. A new statistical methodology. Repr. of the 1977 ed. Zbl 0923.62028
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
1999
Venn diagrams, coupon collections, bingo games and Dirichlet distributions. Zbl 0912.60019
Sobel, Milton; Frankowski, Krzysztof
1997
Hypergeometric analogues of multinomial type-2 problems via Dirichlet methodology. Zbl 0848.62043
Sobel, Milton; Frankowski, Krzysztof
1995
The 500th anniversary of the sharing problem (the oldest problem in the theory of probability). Zbl 0831.60001
Sobel, Milton; Frankowski, Krzysztof
1994
A duality theorem for solving multiple-player multivariate hypergeometric problems. Zbl 0801.60004
Sobel, Milton; Frankowski, Krzysztof
1994
Hypergeometric analogues of multinomial type-$$1$$ Dirichlet problems. Zbl 0845.62040
Sobel, Milton; Frankowski, K.
1994
Selecting among the multinomial losers. Zbl 0804.62072
Chen, Pinyuen; Panchapakesan, S.; Sobel, Milton
1994
Quota sampling for multinomial via Dirichlet. Zbl 0781.62133
Sobel, Milton; Ebneshahrashoob, M.
1992
Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas. Zbl 0695.60016
Ebneshahrashoob, M.; Sobel, Milton
1990
Dirichlet integrals and moments of gamma distribution order statistics. Zbl 0693.62018
Sobel, Milton; Wells, Martin
1990
Application of Dirichlet integrals for curtailment problems in sampling inspection. Zbl 0666.62096
Sobel, Milton; Ebneshahrashoob, M.; Lin, J. Y.
1989
An integrated formulation for selecting the t best of k normal populations. Zbl 0613.62027
Chen, Pinyuen; Sobel, Milton
1987
A new formulation for the multinomial selection problem. Zbl 0613.62028
Chen, Pinyuen; Sobel, Milton
1987
Entropy-based optimal group-testing procedures. Zbl 1134.94338
Chen, Pinyuen; Hsu, Lifang; Sobel, Milton
1987
Dirichlet integrals of type 2 and their applications. Zbl 0586.62197
Sobel, Milton; Uppuluri, V. R. R.; Frankowski, K.
1985
Nonparametric selection of the smallest-dispersion population. Zbl 0658.62034
Sobel, Milton
1985
On the distribution of the time required to remove white balls from an urn. Zbl 0577.60015
Sobel, Milton; Bernard, S. R.; Uppuluri, V. R. R.
1985
Quota fulfillment times. Zbl 0484.60009
Anderson, Keaven; Sobel, Milton; Uppuluri, V. R. R.
1982
Bounds for a k-fold integral for location and scale parameter models with applications to statistical ranking and selection problems. Zbl 0581.62026
Olkin, I.; Sobel, Milton; Tong, Y. L.
1982
On partitioning a sample with binary-type questions in lieu of collecting observations. Zbl 0465.62014
Arrow, Kenneth J.; Pesotchinsky, Leon; Sobel, Milton
1981
On a two urn model of Polya-type. Zbl 0445.60011
Bernard, S. R.; Sobel, Milton; Uppuluri, V. R. R.
1981
Incomplete Dirichlet integrals with applications to ordered uniform spacings. Zbl 0454.62020
Rao, J. S.; Sobel, Milton
1980
Admissible and minimax estimation for the multinomial distribution and for k independent binomial distributions. Zbl 0407.62005
Olkin, Ingram; Sobel, Milton
1979
A subset selection technique for scoring items on a multiple choice test. Zbl 0416.62077
Gibbons, Jean D.; Olkin, Ingram; Sobel, Milton
1979
Selecting and ordering populations: A new statistical methodology. Zbl 0464.62022
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
1977
The Dirichlet-type 1 integral and its applications to multinomial-related problems. Zbl 0419.62022
Sobel, Milton
1977
Group testing with a new goal, estimation. Zbl 0308.62094
Sobel, Milton; Elashoff, R. M.
1975
Dirichlet type 1 distribution: Properties and applications. Zbl 0356.62020
Frankowski, K.; Sobel, M.; Uppuluri, V. R. R.
1975
Comparison of sampling methods for choosing the best binomial population with delayed observations. Zbl 0309.92003
Hoel, David G.; Sobel, Milton; Weiss, George H.
1975
Selecting the coin with the greatest bias. Zbl 0382.62011
Sobel, Milton; Starr, Norman
1975
Sparse and crowded cells and Dirichlet distributions. Zbl 0306.60006
Sobel, Milton; Uppuluri, V. R. R.
1974
An improved procedure for selecting the better of two Bernoulli populations. Zbl 0271.62033
Berry, Donald A.; Sobel, Milton
1973
Inequalities on the probability content of convex regions for elliptically contoured distributions. Zbl 0253.60021
Das Gupta, S.; Olkin, I.; Savage, L. J.; Eaton, M. L.; Perlman, M.; Sobel, M.
1972
Play-the-winner rule and inverse sampling for selecting the best of $$k \geq 3$$ binomial populations. Zbl 0297.62013
Sobel, Milton; Weiss, George H.
1972
On Bonferroni-type inequalities of the same degree for the probability of unions and intersections. Zbl 0254.60013
Sobel, Milton; Uppuluri, V. R. R.
1972
A two-stage procedure for choosing the better of two binomial populations. Zbl 0238.62092
Hoel, David G.; Sobel, Milton; Weiss, George H.
1972
Play-the-winner sampling for a fixed sample size binomial selection problem. Zbl 0236.62021
Nebenzahl, Elliott; Sobel, Milton
1972
Dorfman and $$R_1$$-type procedures for a generalized group-testing problem. Zbl 0327.62072
Lee, Jung-Keun; Sobel, Milton
1972
Recent results on using the play the winner sampling rule with binomial selection problems. Zbl 0271.62032
Sobel, Milton; Weiss, George H.
1972
Optimal allocation of observations for partitioning a set of normal populations in comparison with a control. Zbl 0239.62040
Sobel, Milton; Yung Liang Tong
1971
Finding a single defective in binomial group-testing. Zbl 0226.62081
Kumar, Satindar; Sobel, Milton
1971
Symmetric binomial group-testing with three outcomes. Zbl 0252.62036
Sobel, M.; Kumar, S.; Blumenthal, S.
1971
Nonparametric procedures for selecting fixed-size subsets. Zbl 0243.62030
Desu, M. M.; Sobel, Milton
1971
Play-the-winner sampling for selecting the better of two binomial populations. Zbl 0195.48803
Sobel, Milton; Weiss, George H.
1970
Selecting the $$t$$-th largest using binary errorless comparisons. Zbl 0216.01502
1970
Ordering the t largest of n items using binary comparisons. Zbl 0221.05019
1970
Sequential identification and ranking procedures, with special reference to Koopman-Darmois populations. Zbl 0208.44601
Bechhofer, Robert E.; Kiefer, Jack; Sobel, Milton
1968
A sequential procedure for selecting the largest of k means. Zbl 0188.49802
Robbins, H.; Sobel, Milton; Starr, N.
1968
Binomial and hypergeometric group-testing. Zbl 0165.21702
Sobel, M.
1968
Nonparametric ranking procedures for comparison with a control. Zbl 0177.46603
Rizvi, M. H.; Sobel, M.; Woodworth, G. G.
1968
Optimal group testing. Zbl 0206.20401
Sobel, M.
1968
Nonparametric procedures for selecting a subset cotaining the population with the largest $$\alpha$$-quantile. Zbl 0214.46001
Rizvi, M. H.; Sobel, M.
1967
Nonparametric procedures for selecting the $$t$$ populations with the largest $$\alpha$$-quantiles. Zbl 0211.50304
Sobel, M.
1967
On the distribution of the number of admissible points in a vector random sample. Zbl 0278.60007
Barndorff-Nielsen, O.; Sobel, Milton
1966
An inverse-sampling procedure for selecting the most probable even t in a multinomial distribution. Zbl 0223.62078
Cacoullos, Theophilos; Sobel, Milton
1966
Fine structure of the ordering of probabilities of rank orders in the two sample case. Zbl 0147.18603
Savage, I. R.; Sobel, M.; Woodworth, G.
1966
Integral expressions for tail probabilities of the multinomial and negative multinomial distributions. Zbl 0129.11702
Olkin, I.; Sobel, M.
1965
On the smallest of several correlated F statistics. Zbl 0124.11207
Gupta, S. S.; Sobel, M.
1962
On selecting a subset containing the population with the smallest variance. Zbl 0114.35003
Gupta, Shanti S.; Sobel, Milton
1962
Selecting a subset containing the best of several binomial populations. Zbl 0099.14202
Gupta, Shanti S.; Sobel, Milton
1960
On selecting a subset which contains all populations better than a standard. Zbl 0088.12601
Gupta, Shanti S.; Sobel, Milton
1958
On the distribution of a statistic based on ordered uniform chance variables. Zbl 0086.35104
Gupta, Shanti S.; Sobel, Milton
1958
On a statistic which arises in selection and ranking problems. Zbl 0080.35504
Gupta, Shanti S.; Sobel, Milton
1957
Approximations to the probability integral and certain percentage points of a multivariate analogue of Student’s $$t$$-distribution. Zbl 0064.38501
Dunnett, C. W.; Sobel, M.
1955
Sequential life tests in the exponential case. Zbl 0064.13702
Epstein, Benjamin; Sobel, Milton
1955
Some theorems relevant to life testing from an exponential distribution. Zbl 0056.38203
Epstein, B.; Sobel, M.
1954
A bivariate generalization of Student’s $$t$$-distribution, with tables for certain special cases. Zbl 0056.36703
Dunnett, Charles W.; Sobel, Milton
1954
A single-sample multiple decision procedure for ranking variances of normal populations. Zbl 0056.13001
Bechhofer, Robert E.; Sobel, Milton
1954
A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance. Zbl 0056.13002
Bechhofer, Robert E.; Dunnett, Charles W.; Sobel, Milton
1954
On a generalization of an inequality of Hardy, Littlewood, and Pólya. Zbl 0057.00906
Sobel, Milton
1954
Life testing. Zbl 0051.36502
Epstein, Benjamin; Sobel, Milton
1953
An essentially complete class of decision functions for certain standard sequential problems. Zbl 0051.10901
Sobel, Milton
1953
A sequential decision procedure for choosing one of three hypotheses concerning the unknown mean of a normal distribution. Zbl 0034.23001
Sobel, Milton; Wald, Abraham
1949
all top 5

#### Cited by 903 Authors

 24 Mukhopadhyay, Nitis 19 Sobel, Milton 14 Balakrishnan, Narayanaswamy 14 Chen, Pinyuen 12 Aki, Sigeo 12 Gupta, Shanti Swarup 10 Alam, Khursheed 10 Solanky, Tumulesh K. S. 9 Panchapakesan, Subrahmanian 9 Patel, Jagdish K. 8 Bechhofer, Robert E. 8 Hayter, Anthony J. 8 Hwang, Frank Kwangming 8 Liu, Wei 7 Inoue, Kiyoshi 6 Bofinger, Eve 6 Van der Laan, Paul 5 Dudewicz, Edward J. 5 Goldsman, David M. 5 Keating, Jerome P. 5 Liang, TaChen 5 Rukhin, Andrew L. 4 Aigner, Martin 4 Baron, Michael I. 4 Chen, Hubert Jan-peing 4 Chiou, Paul 4 Devroye, Luc P. J. A. 4 Eaton, Morris L. 4 Ebneshahrashoob, Morteza 4 Horn, Manfred 4 Jammalamadaka, Sreenivasa Rao 4 Kotz, Samuel 4 Koutras, Markos V. 4 Lai, Tze Leung 4 Levin, Bruce R. 4 McDonald, Gary C. 4 Nadarajah, Saralees 4 Nematollahi, Nader 4 Sampson, Allan R. 4 Simon, Richard M. 4 Takada, Yoshikazu 4 Zhigljavsky, Anatoly A. 3 Abu-Salih, Muhammad Subhi 3 Belderrain, Mischel Carmen Neyra 3 Bhattacharya, Samir K. 3 Biau, Gérard 3 Biswas, Atanu 3 Buzaianu, Elena M. 3 Cho, Hokwon A. 3 De, Shyamal Krishna 3 Elfessi, Abdulaziz 3 Fernández, Arturo J. 3 Finner, Helmut 3 Gao, Tangan 3 Giani, Guido 3 Govindarajulu, Zakkula 3 Greenshtein, Eitan 3 Hirano, Katuomi 3 Hyakutake, Hiroto 3 Jin, Chun 3 Kienitz, Karl Heinz 3 Kingston, Joseph V. 3 Kumar, Narinder 3 Kumar, Somesh 3 Kwong, Koon-Shing 3 Likes, Jiri 3 Mengersen, Kerrie L. 3 Miescke, Klaus J. 3 Nagarsenker, Brahmanand N. 3 Nagarsenker, Panna B. 3 Nelson, Peter R. 3 Ng, Hon Keung Tony 3 Odeh, Robert E. 3 Pérez-González, Carlos J. 3 Perlman, Michael D. 3 Roters, Markus 3 Sen, Pranab Kumar 3 Sobel, Marc J. 3 Srivastava, Muni Shanker 3 Sun, Dongchu 3 Tamhane, Ajit C. 3 van Eeden, Constance 3 Junior Vieira, Hélcio 3 Wade, Andrew R. 3 Weiss, George-Herbert 3 Yousef, M. A. Quader 2 Ahlswede, Rudolf 2 Aletti, Giacomo 2 Ali, Mir Masoom 2 Ali, Muhammad Aamir 2 Allen, Linda J. S. 2 Amini, Morteza 2 Antzoulakos, Demetrios L. 2 Aoshima, Makoto 2 Aston, John A. D. 2 Balasooriya, Uditha 2 Berger, James Orvis 2 Bernard, S. R. 2 Bhandari, Subir Kumar 2 Bjørnstad, Jan F. ...and 803 more Authors
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#### Cited in 142 Serials

 113 Communications in Statistics. Theory and Methods 73 Journal of Statistical Planning and Inference 47 Sequential Analysis 43 Annals of the Institute of Statistical Mathematics 42 Statistics & Probability Letters 40 Communications in Statistics. Simulation and Computation 30 American Journal of Mathematical and Management Sciences 22 Journal of Statistical Computation and Simulation 20 Journal of Multivariate Analysis 15 Computational Statistics and Data Analysis 13 Biometrical Journal 11 Metrika 9 Discrete Applied Mathematics 9 Statistics 8 The Canadian Journal of Statistics 8 Journal of Applied Statistics 7 Statistical Papers 6 Statistical Methodology 5 Journal of Applied Probability 5 Trabajos de Estadistica y de Investigacion Operativa 5 Journal of Information & Optimization Sciences 5 Computational Statistics 5 European Journal of Operational Research 5 Test 5 Methodology and Computing in Applied Probability 4 Advances in Applied Probability 4 Computers & Mathematics with Applications 4 The Annals of Statistics 4 Information Sciences 4 Journal of Soviet Mathematics 4 Statistica Neerlandica 4 Journal of Nonparametric Statistics 3 Mathematical Biosciences 3 Psychometrika 3 Biometrics 3 International Statistical Review 3 Journal of Computational and Applied Mathematics 3 Probability Theory and Related Fields 3 Statistical Science 3 Annals of Operations Research 3 Journal of Mathematical Sciences (New York) 3 Probability in the Engineering and Informational Sciences 3 Journal of the Korean Statistical Society 3 Sankhyā. Series A 2 Discrete Mathematics 2 International Journal of Systems Science 2 Periodica Mathematica Hungarica 2 Bulletin of Mathematical Biology 2 The Annals of Probability 2 Aplikace Matematiky 2 Applied Mathematics and Computation 2 Mathematische Annalen 2 Naval Research Logistics 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Insurance Mathematics & Economics 2 SIAM Journal on Algebraic and Discrete Methods 2 Mathematical and Computer Modelling 2 The Annals of Applied Probability 2 Games and Economic Behavior 2 International Journal of Theoretical and Applied Finance 2 Naval Research Logistics Quarterly 2 Journal of Statistical Theory and Practice 2 Sankhyā. Series B 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 International Journal of Control 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Problems of Information Transmission 1 Annals of Human Genetics 1 Computing 1 Journal of the American Statistical Association 1 Journal of Computer and System Sciences 1 Journal of Economic Theory 1 Journal of Econometrics 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Journal of Mathematical Psychology 1 Metron 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Statistische Hefte. Neue Folge 1 Cybernetics and Systems 1 Systems & Control Letters 1 Journal of Time Series Analysis 1 Probability and Mathematical Statistics 1 International Journal of Production Research 1 Optimization 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Applied Stochastic Models and Data Analysis 1 Algorithmica 1 Computers & Operations Research 1 International Journal of Approximate Reasoning 1 Journal of Theoretical Probability 1 Trabajos de Estadistica 1 Queueing Systems 1 Science in China. Series A ...and 42 more Serials
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#### Cited in 29 Fields

 579 Statistics (62-XX) 131 Probability theory and stochastic processes (60-XX) 63 Numerical analysis (65-XX) 39 Operations research, mathematical programming (90-XX) 28 Combinatorics (05-XX) 27 Computer science (68-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Biology and other natural sciences (92-XX) 9 Information and communication theory, circuits (94-XX) 6 History and biography (01-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Systems theory; control (93-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX)

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