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Individual Faculty Information |
Individual Faculty
Information
Arthur Cohen
Home Phone: 908-647-1824
Office Phone: 732-445-5305Positions
Professor, Department of Statistics, Rutgers University, 1970-
Chairman, Department of Statistics, Rutgers University, 1968-1977
Associate Professor, Department of Statistics, Rutgers University, 1965-1970
Assistant Professor, Department of Statistics, Rutgers University, 1963-1965
Statistician, Epidemic Intelligence Service, Communicable Disease Center, U. S. Public Health Service, 1957-1959.
Statistician, I.B.M., Summer, 1956
Statistician, Western Electric Research Center, Summer, 1965
Education
B.A. in Mathematics, Brooklyn College
M.A. in Mathematical Statistics, Columbia University
Ph.D. in Mathematical Statistics, Columbia University, 1963Honors, Fellowships and Grants
NSF Grants l965-2001, 2005-2007
NSA Grants 1999-2000, 2002-2003, 2005-2009
Rutgers University Faculty Fellowship, 1973-74
Fellow of the Institute of Mathematical Statistics, 1973
Fellow of the American Statistical Association, 1972
Lecturer, Visiting Lecturer Program in Statistics,1970-73,1980-83
Fellowship in School of Public Health,Columbia University,1959-63
Assistantship in Department of Mathematical Statistics, Columbia University, 1955-57Service
Editor, Annals of Statistics, 1989-1991.
Editor, Journal of Multivariate Analysis, 1978-1989.
Associate Editor, Journal of the American Statistical Association, 1984-1989.
Associate Editor, Journal of Statistical Planning and Inference, 1984-1989.
Reviewer for Math. Reviews, 1974-1984.
Chairman - Editor Selection Committee - Institute of Mathematical Statistics - 1975.
Chairman - Publication Committee - Institute of Mathematical Statistics, 1978-1980.Consulting Experience
Johnson Johnson-New Brunswick, NJ, Carter Wallace-Cranbury, NJ, General Instruments-Newark, NJ, U.S. Naval Air Station-Lakehurst, NJ, Colin Huston Associates-Mamaronek, NY, Metpath-Hackensack, NJ, Geomet-Gaithersburg, Maryland, Mathematica-Princeton, NJ, British Oxygen Co.-Murray Hill, NJ, Foster-Higgins-Princeton, NJ, Towers-Perrin Inc., NY, INO Therapeutics, NJ, Humana, Louisville KY.
Expert Testimony
Law Firm/Subject:
Sills-Beck, NJ/Tax Assessment
Riker-Danzig, NJ/Tax Assessment
Levine-Sklar, NJ/Tax Assessment
Andora-Palmisano, NJ/Tax Assessment
McGahn-Friss, NJ/Tax Assessment
Amster-Rosensweig, NJ/Tax Assessment
McCarter-English, NJ/Tax Assessment
Satterlee and Stephens, NY/Moody's Publications
David Wilentz, NJ/Business Taxes
David Wilentz, NJ/Age Discrimination
Rogers and Wells, NY/Sex Discrimination
Proskauer, Rose, Goetz, Mendelsohn, NY/Faulty Product
Proskauer, Rose, Goetz, Mendelsohn, NY/Age Discrimination
Kalison, McBride, Jackson & Murphy, NJ/Health Insurance Claims
Fitzpatrick, Cella, Harper & Cinto, NY/Patent Infringement
Nagel, Rice & Mezie, NJ/Health Insurance Claims
Ross, Dixon & Bell, IL/Health Insurance ClaimsPublications 1. Tables for the sign test when observations are estimates of binomial parameters, Journal of the American Statistical Association, 1959, 54, pp. 784-793.
2. Calling behavior of Mourning Doves in two midwest life zones, Journal of Wildlife Management, 1960, Col. 24, No. 2, April 1960, pp. 203-212 (with Harold F. Peters and Leonard E. Foote.)
3. Epidemiologic studies of Asian influenza in a Louisiana Parish, American Journal of Hygiene, 70, No. 3, pp. 351- 371, Nov. 1959 (with Frederick L. Dunn, Donald E. Carey, and Joseph D. Martin.)
4. Monovalent Asian Influenza Vaccine, Journal of American Medical Association, 1960, 192, pp. 1223-1229 (with H. Bruce Dull, Keith E. Jensen, Jennie H. Rakich, Donald A. Henderson, and Carl I. Pirkle.)
5. Immunization Survey Manual, Part 1: Methods in Urban Areas, Communicable Disease Center Public Health Service, U.S. Dept. of Health, Education and Welfare, 1960 (with R. E. Serfling, Ida L. Sherman, and Richard G. Cornell.)
6. Estimates of linear combinations of the parameters in the mean vector of a multivariate distribution, Annals of Mathematical Statistics, 1965, 36, pp. 78-87.
7. A Hybrid problem on the exponential family, Annals of Mathematical Statistics, 1965, 36, pp. 1185-1206.
8. All admissible linear estimates of the mean vector, Annals of Mathematical Statistics, 1966, 37, pp. 458-463.
9. Estimation of the larger translation parameter, Annals of Mathematical Statistics, 1968, 39, pp. 502-516 (with Saul Blumenthal.)
10. Estimation of two ordered translation parameters, Annals of Mathematical Statistics, 1968, 39, pp. 517-530 (with Saul Blumenthal.)
11. Estimation of the larger of two normal means, Journal of the American Statistical Association, 1968, 63, pp. 861-876 (with Saul Blumenthal.)
12. A note on the admissibility of pooling in the analysis of variance, Annals of Mathematical Statistics, 1968, 39, pp. 1744-1746.
13. A note on the unbiasedness of the likelihood ratio test for some normal covariance matrices, Sankhya, 1969, 31, pp. 209-216.
14. Estimation of the last mean of a monotone sequence, Annals of Mathematical Statistics, 1970, 41, 2012-2034 (with H. Sackrowitz.)
15. Admissibility of estimators of the mean vector of a multivariate normal distribution with quadratic loss, Annals of Mathematical Statistics, 1971, 42, 270-296 (with W. Strawderman.)
16. Unbiasedness of tests for homogeneity of variances, Annals of Mathematical Statistics, 1971, 42, 355-360 (with W. Strawderman.)
17. Improved confidence intervals for the variance of a normal distribution, Journal of the American Statistical Association, 1972, 67, pp. 382-387.
18. Admissibility implications for different criteria in confidence estimation, Ann. Statist., 1973, 1, 363-366 (with W. Strawderman.)
19. Admissible confidence interval and point estimation for translation or scale parameters, Ann. Statist., 1973, 1, 545- 550 (with W. Strawderman.)
20. Point and confidence estimation of a common mean and recovery of interblock information. Ann. Statist., 2, 963-976 (with L. Brown.)
21. On estimating the common mean of two normal distributions, Ann Statist., 1974, 21, 1274-1282 (with H. Sackrowitz.)
22. To pool or not to pool in hypothesis testing. Journal of the American Statistical Association, 1974, 69, 721-725.
23. Unbiasedness of the chi-square, likelihood ratio and other goodness of fit tests for the equal cell case. Ann. Statist., 1975, 3, 959-964 (with H. Sackrowitz.)
24. Combining estimates of location, Journal of the American Statistical Association, 1976, 71, 172-175.
25. Some remarks on Scheffe's mixed model. The American Statistician, 1976, 30, 36-37 (with J. Miller.)
26. A complete class theorem for strict monotone likelihood ratio with applications. Ann Statist., 1976, 4, 712-722 (with L. Brown and W.E. Strawderman.)
27. Admissibility of chi-square, likelihood ratio and other goodness of fit tests. Sankhya, 1976, Series B, 350-355 (with H. Sackrowitz.)
28. A result on hypothesis testing for a multivariate normal distribution when some observations are missing. Journal of Multivariate Analysis, 1977, 7, pp. 454-460.
29. Hypothesis testing for the common mean and for Balanced Incomplete Blocks Designs. Ann Statist., 1977, 5, 1195- 1211 (with H. Sackrowitz.)
30. On the admissibility or inadmissibility of fixed sample size tests in a sequential setting. Ann. Statist., 1979, 7, 569-
31. Monotonicity of Bayes sequential tests. Ann. Statist. (1979), 7, 1222-1230 (with L. Brown and W. E. Strawderman.)
32. Asymptotically optimal methods of combining tests. Journal of the American Statistical Association, (1979), 74, 813-814 (with R. H. Berk.)
33. Complete classes for sequential tests for hypothesis. Ann. Statist., (1980), 8, 377-399 (with L. Brown and W. E. Strawderman.)
34. Properties of Bayes sequential test. Ann Statist. (1981), 9, 678-682 (with R. H. Berk and L. D. Brown.)
35. Bounded stopping times for a class of sequential Bayes tests. Ann Statist. (1981), 9, 834-845 (with R. H. Berk and L. D. Brown.)
36. Inadmissibility of large classes of sequential test. Ann. Statist. (1981), 9, 1239-1247 (with L. D. Brown.)
37. Inference for marginal means in contingency tables with conditional independence. Journal of the American Statistical Association. (1981), 76, 895-902.
38. Estimating the mean of the selected population. (1982) (with H. B. Sackrowitz.) Third Purdue Symposium on Statistical Decision Theory and Related Topics.
39. Second order asymptotic and non-asymptotic optimality properties of combined test. (1982) (with J. Marden and K. Singh.) Journal of Statistical Planning and Inference, 6, 253-276.
40. Necessary and sufficient conditions for bounded stopping times of sequential Bayes tests in exponential families. (with E. Samuel-Cahn), Sequential Analysis: Communication in Statistics, Series C, 1982, 1, 89-99.
41. A sharp necessary condition for admissibility of sequential tests-necessary and sufficient condition for admissibility of SPRT's. (with L. D. Brown and E. Samuel-Cahn.) Ann. Statist. (1983), 11, 640-653.
42. Hypothesis tests and optimality properties in discrete multivariate analysis. (with C. Gatsonis and J. Marden.) (1983), Studies in Econometrics, Time Series, and Multivariate Statistics. Edited by S. Karlin, T. Amemiya, and L. A. Goodman, Academic Press.
43. Hypothesis testing for marginal means in a 2x2x2 contingency table with conditional independence. (with C. Gatsonis and J. Marden.) Journal of the American Statistical Association (1983), 78, 920-929.
44. Testing hypotheses about the common mean of normal distribution. (with H. Sackrowitz.) (1984). Journal of Statistical Planning and Inference, 9, 207-227.
45. Decision theory results for vector risks with applications. (with H. Sackrowitz.) Statistics and Decisions (1984), Supplement Issue No. 1, 159-176.
46. Bayes Double sample estimation procedures. (with H. Sackrowitz.) (1984). Annals of Statist. 12, 1035-1049.
47. Results on double sample estimation for the binomial distribution. (with H. Sackrowitz.) Ann. Statist. (1984), 12, 1109-1116.
48. Estimating the common location parameter of exponential distribution with censored samples. (with W. Chiou.) Naval Research Logistics Quarterly. (1984), 31, 475-482.
49. Multivariate locally most powerfully unbiased test. (with H. Sackrowitz and W. Strawderman.) (1985). Multivariate Analysis VI. P. R. Krishnaiah ed. Elsevier, 121-144.
50. On estimating a common multivariate normal mean vector.(with W. Chiou.) (1985). Ann. Instit. Stat. Math., 37A, 499-506.
51. Estimating a quantile of a symmetric distribution. (with Shaw- Hwa Lo and Kesar Singh.) (1985). Ann. Statist., 13, 1114-1128.
52. Variances and asymptotic distributions of direct standardized rates. (with L. Davis). (1986). Biometrical Journal 28, 847- 858.
53. Bounded stopping time of some Bayes Sequential tests for the t-test model. Probability and Mathematical Statistics. (1986), 7, 1-5.
54. Admissibility of goodness of fit tests for discrete exponential families. (with H. Sackrowitz). Statistics and Probability Letters, (1987), 5, 1-3.
55. Unbiasedness of tests for homogeneity. (with H. Sackrowitz). Ann. Statist.(1987), 15, 805-816.
56. Optimality properties of some tests for homogeneity in contingency tables. Statistics (1987), 4, 591-597.
57. A characterization of the multivariate normal distribution and some remarks on linear estimators. (with A. Rukhin and W. E. Strawderman). Journal of Statistical Planning and Inference. (1987), 17, 361-365.
58. An approach to inference following model selection with applications to transformation based and adaptive inference. (with H. Sackrowitz). JASA, (1987), 82, 1123-1130.
59. A decision theory formulation for population selection followed by estimating the mean of the selected population. (with H. Sackrowitz). Fourth Purdue Symposium on Statistical Decision Theory and Related Topics. (1988), 2, 33-36.
60. Minimal complete classes of invariant tests for equality of normal covariance matrices and sphericity. (with J. Marden). Journal of Multivariate Analysis (1988), 27, 131-150.
61. On the admissibility and consistency of tests of homogeneity of variances. (with J. Marden). Ann. Statist. (l989), 17, 236-251.
62. Exact tests that recover interblock information in BIBDs. (with H. Sackrowitz). Journal of the American Statistical Association, (1989), 84, 556-559.
63. Two stage conditionally unbiased estimators of the selected mean. (with H. Sackrowitz). Statistics and Probability Letters (1989), 8, 273-278.
64. Estimating ordered location and scale parameters. (with D. Kushary). Statistics and Decisions (1989), 7, 201-213.
65. Evaluating pre-test predictors of success in linear regression models. (with H. Sackrowitz). Recent Developments in Statist- ical Data Analysis and Inference (1989), 369-380. Elsevier/
66. Comment on Development in Decision-Theoretic Variance
Estimation. Statistical Science (1990), 5, 106-107.
67. Unbiasedness of tests of homogeneity when alternatives are ordered. (with M. Perlman and H. Sackrowitz). Topics in Statistical Dependence, (1990). IMS Lecture Notes/Monograph Series, 16, 135-146.
68. Admissibility of estimators of the probability of unobserved outcomes. (with H. Sackrowitz). Annals of the Institute of Statistical Mathematics (1990), 42, 623-636.
69. Unbiased tests for some one sided testing problems. (with H. Sackrowitz). Canadian Journal of Statistics (1990), 18, 337-346.
70. Tests for independence in contingency tables with ordered categories. (with H. Sackrowitz). Journal of Multivariate Analysis (1991), 36, 56-67.
71. Estimating ordered Poisson parameters. (with D. Kushary). Sankhya (1991), 53, 334-356.
72. Constructing unbiased tests for homogeneity and goodness of fit. (with H. Sackrowitz). Statistics and Probability Letters (1991), 12, 351-355.
73. Recovery of information in BIBDs with interaction. (with Z. Zhang). JSPI (1992), 31, 373-386.
74. Improved tests for comparing treatments with a control and other one sided problems. (with H. Sackrowitz). JASA (1992), 87, 1137-1144.
75. On the invariance structure of the one-sided testing problem for a multivariate normal mean. (with T. Kariya). Statistica
Sinica (1992), 2, 221-237.
76. An evaluation of some tests of trend in contingency tables. (with H. Sackrowitz). JASA (1992), 87, 470-475.
77. Some remarks on a notion of positive dependence, association, and unbiased testing. (with H. Sackrowitz). Stochastic Inequalities, M. Shaked and Y. L. Tong (editors). IMS Lecture Notes/Monograph Series (1993), 22, 33-37.
78. Association and unbiased tests in statistics. (with H. Sackrowitz). Chapter 9, Stochastic Orders and their Applications by M. Shaked and J.G. Shantikumar. (1994).
79. Inadmissibility of studentized tests for normal order restricted models. (with H. Sackrowitz). Ann. Statist. (1993), 21, 746-752.
80. On stochastic ordering of partial sums with application to reliability theory. (with H. Sackrowitz) Statistics and Probability (1993). A R. R. Bahadur Festschrift, J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy, BLSP Rao Editors, 165-170. Wiley, New Delhi.
81. Unbiased tests for normal order restricted hypotheses. (with J.H.B. Kemperman and H. Sackrowitz). Journal of Multivariate Analysis (1993), 46, 139-153.
82. Evaluating tests for increasing trend in the intensity of a Poisson process. (with H. Sackrowitz). Technometrics (1993), 35, 446-448.
83. Double sample estimation when cost depends on the parameter. (with H. Sackrowitz). Statistical Decision Theory and Related Topics V (1994). S. Gupta and J. Berger Editors, 253-266, Springer-Verlag, New York.
84. Adaptive and unbiased predictors in a change point regression model. (with Debashis Kushary). Statistics and Probability Letters (1994), 20, 131-138.
85. Unbiased testing in exponential family regression. (with J.H.B. Kemperman and H. B. Sackrowitz). Ann. Statist. (1994), 22, 1931-1946.
86. Projected tests for order restricted alternatives. (with J. Kemperman and H. Sackrowitz). Ann. Statist. (1994), 22, 1539- 1546.
87. Unbiased testing of treatments against a control. (with M. Fygenson and H. Sackrowitz). Scandinavian Journal of Statistics (1995), 22, 95-104.
88. Complete classes for confidence set estimation. (with L. D. Brown). Statistica Sinica (1995), 5, 291-301.
89. Inadmissibility of some tests for order restricted alternatives. (with H. Sackrowitz) Statistics and Probability Letters (1995), 24, 153-156.
90. On stochastic ordering of random vectors. (with H. Sackrowitz) Journal of Applied Probability (1995).
91. Testing homogeneity of uniform scale alternatives. (with M. Fygenson). JASA (1995), 90, 1062-1067.
92. Cone order association. (with H. Sackrowitz and E. Samuel- Cahn). Journal of Multivariate Analysis (1995), 55, 320-330.
93. Constructing tests for normal order restricted inference. (with H. Sackrowitz and E. Samuel-Cahn). Bernoulli (1995), 1, 321- 333.
94. Lower confidence bounds using pilot samples with an application to auditing. (with H. Sackrowitz). JASA (1996), 91, 338-342.
95. Lower confidence regions for restricted parameter spaces. (with H. Sackrowitz). Mathematical Methods in Statistics (1996), 5, 113-123.
96. Tests for the umbrella alternative under normality. (with H. Sackrowitz). Hogg Volume, Communications in Statistics (1996), 25, 2807-2818.
97. Cone order association and stochastic cone ordering with applications to order restricted testing. (with H. Sackrowitz). Annals of Statistics (1996) 24, 2036-2048.
98. Universal admissibility of maximum lilkelihood estimators in constrained spaces. (with D. Kushary). Statistics and Decisions (1998), 131-146.
99. Directional tests for one sided alternatives in multivariate models. (with H. Sackrowitz). Annals of Statistics (1998) 26, 2321-2338.
100. Properties of likelihood inference for order restricted models. (with J. Kemperman and H. Sackrowitz). Journal of Multivariate Analysis (2000) 72, 50-77.
101. Testing whether treatment is "better" than control with ordered categorical data: Definitions and complete class theorems. (with H. Sackrowitz). Statistics and Decisions (2000) 18, 1-25.
102. Properties of Bayes testing procedures in order restricted inference. (with H. Sackrowitz). Statistics and Probability Letters (2000) 49, 205-209.
103. Testing whether treatment is "better" than control with ordered categorical data: An evaluation of new methodology. (with H. Sackrowitz and M. Sackrowitz). Statistics in Medicine (2000) 19, 2699-2712.
104. A new test for treatment vs. control in an ordered 2x3 contingency table. (with H. Sackrowitz). Probability and Statistical Models with Applications. C.A. Charalambides, M.V. Koutras, N. Balakrishnan, Editors. Chapman & Hall, New York (2001), 549-564.
105. Wherefore similar tests? (with H. Sackrowitz). Probability and Statistics Letters (2001) 54, 283-290.
106. Directed likelihood ratio tests for order restricted alternatives and inference results for the star shaped restriction. (with H. Sackrowitz). Journal of Statistical Planning and Inference (2002) 103, 181-189.
107. Inadmissibility of the Studentized likelihood ratio test for testing order-restricted normal means. (with G. Manco). Statistics and Decisions (2002), 177-190.
108. On the bias in estimating genetic length and other quantities in simplex constrained models. (with J. Kemperman and H. Sackrowitz). Ann. Statist. (2002) 30, 202-219.
109. Inference for the model of several treatments and a control. (with H. Sackrowitz). Journal of Statistical Planning and Inference (2002) 107, 89-101.
110. Methods of reducing loss of efficiency due to discreteness of distributions. (with H. Sackrowitz). Stat. Methods in Med. Res. (2003) 12, 23-36.
111. Effective directed tests for models with ordered categorical data. (with D. Madigan and H. Sackrowitz). Australian and New Zealand Journal of Statistics (2003) 45, 285-300.
112. Monotonicity properties of multiple endpoint testing procedures. (with H. Sackrowitz). Journal of Statistical Planning and Inference (2004) 125, 17-30.
113. A discussion of some inference issues in order restricted models. (with H. Sackrowitz). The Canadian Journal of Statistics (2004) 32.
114. A test for homogeneity of odd ratios in ordered 2 x 2 tables. (with H. Sackrowitz and J. Kolassa). Biometrical Journal (2004) 46, 633-641.
115. A four action problem with ordered categorical data: Are two distributions the same, ordered, or otherwise. (with H. Sackrowitz and J. Kolassa). Statistics and Probability Letters (2004).
116. Decision theory results for one sided multiple comparison procedures. (with H. Sackrowitz). Annals of Statistics (2005) 33, 126-144.
117. Characterization of Bayes procedures for multiple endpoint problems and inadmissibility of the step-up procedure. (with H. Sackrowitz). Annals of Statistics (2005) 33, 145-158.
118. Directed alternatives in testing. Encyclopedia of Statistics in Behavioral Science (2005), Volume 1, 495-496. J. Wiley, Chichester, UK.
119. A new test for stochastic order of k greater-equal 3 ordered multinomial populations. (with J. Kolassa and H. Sackrowitz). Statistics and Probability Letters (2006) 76, 1017-1024.
120. One-sided tests for ordered categorical data. Encyclopedia of Biopharmaceutical Statistics (2006).
121. A test for equality of multinomial distributions vs increasing convex order. (with J. Kolassa and H. Sackrowitz). Michael Woodroofe Volume. IMS-LNMS (2006) 50, 156-163.
122. More on the inadmissibility of step-up. (with H. Sackrowitz). Journal of Multivariate Analysis (2007) 98, 481-492.
123. A smooth version of the step-up procedure for multiple tests of hypotheses. (with H. Sackrowitz). Journal of Statistical Planning and Inference. S. N. Roy Volume (2007) 137, 3352-3360.
124. Representative sampling plan for auditing health insurance claims. (with J. Naus). Yehuda Vardi Volume. IMS-LNMS (2007) 54, 121-131.
125. A note on the U, V method of estimation. (with H. Sackrowitz). Yehuda Vardi Volume. IMS-LNMS (2007) 54, 172-176.
126. Multiple testing of two-sided alternatives with dependent data. (with H. Sackrowitz). Statistica Sinica (2007).
127. A family of Bayes multiple testing procedures. (with H. Sackrowitz, M. Xu, and S. Buyske). Submitted.
128. A new multiple testing method in the dependent case. (with H. Sackrowitz and M. Xu). Submitted.