## Proschan, Frank

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 Author ID: proschan.frank Published as: Proschan, Frank; Proschan, F. External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 156 Publications since 1953, including 7 Books 1 Contribution as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 56 Co-Authors with 153 Joint Publications 1,007 Co-Co-Authors
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### Co-Authors

 6 single-authored 23 Barlow, Richard E. 23 Boland, Philip J. 19 Sethuraman, Jayaram 18 El-Neweihi, Emad 13 Hollander, Myles 13 Marshall, Albert W. 9 Langberg, Naftali A. 9 Tong, Yung Liang 7 Esary, James D. 6 Leon, Ramon V. 5 Joag-Dev, Kumar 4 Hunter, Larry C. 4 Joe, Harry 4 Kim, Jee Soo 3 Alzaid, Abdulhamid A. 3 Chan, Wai 3 Karlin, Samuel 3 Quinzi, A. J. 3 Singpurwalla, Nozer D. 2 A-Hameed, M. S. 2 Abdel-Hameed, Mohamed S. 2 Fahmy, Salwa 2 Fontenot, Robert A. 2 Guess, Frank Mitchell 2 Kitchin, John 2 Kochar, Subhash C. 2 Mimmack, Gillian 2 Nevius, S. E. 2 Park, Dongho 2 Pereira, Carlos Alberto de Bragança 2 Pledger, Gordon W. 2 Pyke, Ronald 2 Sconing, James 2 Shaked, Moshe 1 Abouammah, A. M. 1 Ahmed, Abdul-Hadi N. 1 Alt, Frank B. 1 Bastani, Farokh B. 1 Basu, Asit P. 1 Beckenbach, Edwin Ford 1 Berger, Roger L. 1 Bhattacharjee, Manish C. 1 Blachman, Nelson M. 1 Black, Guy 1 Block, Henry W. 1 Boyles, Russell A. 1 Brown, Mark 1 Chaganti, N. R. 1 Czörgö, M. 1 D’Abadie, Catherine 1 de Bruijn, Nicolaas Govert 1 de Souza Borges, Wagner 1 Deming, William Edwards 1 Diaz, Joaquin Basilio 1 Doss, Hani 1 Fan, Ky 1 Franken, Peter 1 Freitag, Steven 1 Friedman, Avner 1 Gosselin, Richard P. 1 Gupta, Shanti Swarup 1 Harter, Herman Leon 1 Hoadley, Bruce 1 Horwáth, L. 1 Krishnaiah, Paruchuri Rama 1 Lacayo, Herbert 1 Littlewood, John Edensor 1 Marcus, Marvin D. 1 Marsaglia, George 1 Mazumdar, Mainak 1 Mazzuchi, Thomas A. 1 Metcalf, Frederic T. 1 Miao, Bai-qi 1 Mimmack, G. M. 1 Moore, Albert H. 1 Motzkin, Theodore Samuel 1 Nahmias, Steven 1 Ohi, Fumio 1 Olkin, Ingram 1 Padgett, William Jowayne 1 Panchapakesan, Subrahmanian 1 Pau, Louis-Francois 1 Payne, Lawrence Edward 1 Pečarić, Josip 1 Pólya, George 1 Ramamoorthy, Chitoor V. 1 Rao, Calyampudi Radhakrishna 1 Rodrigues, Josemar 1 Saerndal, Carl Erik 1 Savits, Thomas H. 1 Scheuer, Ernest M. 1 Schoenberg, Isaac Jacob 1 Serfling, Robert J. 1 Shisha, D. 1 Shisha, Oved 1 Smith, N. D. 1 Sullo, Pasquale 1 Taussky-Todd, Olga 1 Todd, John 1 Walkup, David W. ...and 3 more Co-Authors
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### Serials

 11 The Annals of Statistics 11 Journal of Applied Probability 11 Annals of Mathematical Statistics 6 The Annals of Probability 6 Operations Research 6 Communications in Statistics. Theory and Methods 5 Journal of Multivariate Analysis 5 Probability in the Engineering and Informational Sciences 4 Journal of the American Statistical Association 4 Statistics & Probability Letters 4 Naval Research Logistics Quarterly 3 Advances in Applied Probability 3 The Canadian Journal of Statistics 3 Biometrika 3 Naval Research Logistics 3 SIAM Journal on Mathematical Analysis 3 Stochastic Processes and their Applications 2 American Mathematical Monthly 2 IEEE Transactions on Reliability 2 Journal of Mathematical Analysis and Applications 2 Bulletin of the Calcutta Mathematical Society 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematics of Operations Research 2 Pacific Journal of Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of the Society for Industrial & Applied Mathematics 2 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien 1 The American Statistician 1 Scandinavian Journal of Statistics 1 Theory of Probability and its Applications 1 Biometrics 1 Journal of Statistical Planning and Inference 1 Proceedings of the American Mathematical Society 1 Technometrics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Operations Research Letters 1 Statistics & Decisions 1 Computers & Operations Research 1 The Annals of Applied Probability 1 Journal of the Royal Statistical Society. Series B 1 SIAM Review 1 Statistica Sinica 1 Classics in Applied Mathematics 1 Handbook of Statistics 1 Mathematics in Science and Engineering
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### Fields

 91 Statistics (62-XX) 50 Probability theory and stochastic processes (60-XX) 34 Operations research, mathematical programming (90-XX) 15 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

135 Publications have been cited 5,166 times in 3,925 Documents Cited by Year
Statistical theory of reliability and life testing. Zbl 0379.62080
Barlow, Richard E.; Proschan, Frank
1975
Negative association of random variables, with applications. Zbl 0508.62041
Joag-Dev, Kumar; Proschan, Frank
1983
Mathematical theory of reliability. With contributions by L. C. Hunter. Zbl 0132.39302
Barlow, R. E.; Proschan, F.
1965
Association of random variables, with applications. Zbl 0183.21502
Esary, J. D.; Proschan, F.; Walkup, D. W.
1967
Convex functions, partial orderings, and statistical applications. Zbl 0749.26004
Pečarić, Josip E.; Proschan, Frank; Tong, Y. L.
1992
Imperfect repair. Zbl 0526.60080
Brown, Mark; Proschan, Frank
1983
Shock models and wear processes. Zbl 0262.60067
Esary, J. D.; Marshall, A. W.; Proschan, F.
1973
Properties of probability distributions with monotone hazard rate. Zbl 0249.60006
Barlow, Richard E.; Marshall, Albert W.; Proschan, Frank
1963
Tests for the mean residual life. Zbl 0322.62098
Hollander, Myles; Proschan, Frank
1975
Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability. Zbl 0346.60058
Proschan, F.; Sethuraman, J.
1976
Applications of the hazard rate ordering in reliability and order statistics. Zbl 0793.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Testing whether new is better than used. Zbl 0241.62055
Hollander, Myles; Proschan, Frank
1972
Functions decreasing in transposition and their applications in ranking problems. Zbl 0356.62043
Hollander, Myles; Proschan, Frank; Sethuraman, Jayaram
1977
Inequalities for linear combinations of order statistics from restricted families. Zbl 0149.15402
Barlow, R. E.; Proschan, F.
1966
Nonstationary shock models. Zbl 0279.60085
Abdel-Hameed, M. S.; Proschan, F.
1973
Periodic replacement with increasing minimal repair costs at failure. Zbl 0514.90032
Boland, Philip J.; Proschan, Frank
1982
Comparisons of order statistics and of spacings from heterogeneous distributions. Zbl 0263.62062
Pledger, Gordon; Proschan, Frank
1971
Relationships among some concepts of bivariate dependence. Zbl 0263.62011
Esary, J. D.; Proschan, F.
1972
Multistate coherent systems. Zbl 0386.60061
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
Tests for monotone failure rate. Zbl 0203.22203
Proschan, F.; Pyke, Ronald
1967
Importance of system components and fault tree events. Zbl 0312.62072
Barlow, Richard E.; Proschan, Frank
1975
Laplace ordering and its applications. Zbl 0721.60097
Alzaid, Abdulhamid; Kim, Jee Soo; Proschan, Frank
1991
Stochastic order for redundancy allocations in series and parallel systems. Zbl 0748.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1992
Percentile residual life functions. Zbl 0558.62084
Joe, Harry; Proschan, Frank
1984
Maximum likelihood estimation for distributions with monotone failure rate. Zbl 0128.38506
Marshall, A. W.; Proschan, F.
1965
A general composition theorem and its applications to certain partial orderings of distributions. Zbl 0813.62009
Joag-dev, Kumar; Kochar, Subhash; Proschan, Frank
1995
Peakedness of distributions of convex combinations. Zbl 0138.41104
Proschan, F.
1965
Schur properties of convolutions of exponential and geometric random variables. Zbl 0790.62020
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Mathematical theory of reliability. With contributions by Larry C. Hunter. Zbl 0874.62111
Barlow, Richard E.; Proschan, Frank
1996
Testing exponentiality versus a trend change in mean residual life. Zbl 0613.62122
Guess, Frank; Hollander, Myles; Proschan, Frank
1986
Shock models with underlying birth process. Zbl 0322.60074
A-Hameed, M. S.; Proschan, F.
1975
Testing to determine the underlying distribution using randomly censored data. Zbl 0419.62041
Hollander, Myles; Proschan, Frank
1979
A note on tests for monotone failure rate based on incomplete data. Zbl 0174.22901
Barlow, R. E.; Proschan, F.
1969
Tolerance and confidence limits for classes of distributions based on failure rate. Zbl 0149.15403
Barlow, R. E.; Proschan, F.
1967
Multivariate arrangement increasing functions with applications in probability and statistics. Zbl 0648.62052
Boland, Philip J.; Proschan, Frank
1988
Active redundancy allocation in coherent systems. Zbl 1134.90350
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1988
The reliability of k out of n systems. Zbl 0519.62086
Boland, Philip J.; Proschan, Frank
1983
Polya type distributions of convolutions. Zbl 0141.16604
Karlin, S.; Proschan, F.
1960
Optimum checking procedures. Zbl 0116.36101
Barlow, R. E.; Hunter, L. C.; Proschan, F.
1964
A reliability bound for systems of maintained, interdependent components. Zbl 0202.17001
Esary, J. D.; Proschan, F.
1970
Uniform stochastic orderings and total positivity. Zbl 0617.62005
Lynch, James; Mimmack, Gillian; Proschan, Frank
1987
Optimal allocation of components in parallel-series and series-parallel systems. Zbl 0612.60074
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1986
Classes of distributions applicable in replacement with renewal theory implications. Zbl 0253.60077
Marshall, Albert W.; Proschan, Frank
1972
Coherent structures of non-identical components. Zbl 0128.38805
Esary, J. D.; Proschan, F.
1963
Characterization of nonparametric classes of life distributions. Zbl 0448.60016
Langberg, Naftali A.; Leon, Ramon V.; Proschan, Frank
1980
Comparison of two life distributions on the basis of their percentile residual life functions. Zbl 0554.62084
Joe, Harry; Proschan, Frank
1984
An inequality for convex functions involving majorization. Zbl 0145.28601
Marshall, A. W.; Proschan, F.
1965
Schur functions in statistics. II: Stochastic majorization. Zbl 0383.62039
Nevius, S. E.; Proschan, F.; Sethuraman, J.
1977
Modelling dependence in simple and indirect majority systems. Zbl 0671.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Estimating dependent life lengths, with applications to the theory of competing risks. Zbl 0463.62091
Langberg, N.; Proschan, F.; Quinzi, A. J.
1981
Optimum replacement of a system subject to shocks. Zbl 0521.90053
Boland, Philip J.; Proschan, Frank
1983
Estimating the parameters of a multivariate exponential distribution. Zbl 0336.62026
Proschan, Frank; Sullo, Pasquale
1976
A class of life distributions for aging. Zbl 0601.62122
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1986
Some inequalities for starshaped and convex functions. Zbl 0176.01203
Barlow, R. E.; Marshall, A. W.; Proschan, F.
1969
Schur functions in statistics. I: The preservation theorem. Zbl 0361.62055
Proschan, F.; Sethuraman, J.
1977
Converting dependent models into independent ones, preserving essential features. Zbl 0382.62083
Langberg, N.; Proschan, F.; Quinzi, A. J.
1978
A simple test for new better than used in expectation. Zbl 0586.62159
de Souza Borges, Wagner; Proschan, Frank; Rodrigues, Josemar
1984
Optimal arrangement of components via pairwise rearrangements. Zbl 0685.90047
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Birthday problem with unlike probabilities. Zbl 0769.60008
Joag-Dev, Kumar; Proschan, Frank
1992
Generalized association, with applications in multivariate statistics. Zbl 0502.62056
Ahmed, Abdul-Hadi N.; Leon, Ramon; Proschan, Frank
1981
Moment and geometric probability inequalities arising from arrangement increasing functions. Zbl 0638.60013
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1988
Theory of maintained systems: Distribution of time to first system failure. Zbl 0457.90034
Barlow, Richard E.; Proschan, Frank
1976
Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average. Zbl 0605.62036
Boyles, R. A.; Marshall, A. W.; Proschan, F.
1985
Independence of time and cause of failure in the multiple dependent competing risks model. Zbl 0822.62082
Kochar, Subhash C.; Proschan, Frank
1991
Moment inequalities of Polya frequency functions. Zbl 0141.16605
Karlin, S.; Proschan, F.; Barlow, R. E.
1961
Redundancy importance and allocation of spares in coherent systems. Zbl 0759.62025
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Convex-ordering among functions, with applications to reliability and mathematical statistics. Zbl 0770.62086
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1990
Mean life of series and parallel systems. Zbl 0193.19804
Marshall, A. W.; Proschan, F.
1970
Nonparametric concepts and methods in reliability. Zbl 0596.62099
Hollander, Myles; Proschan, Frank
1984
Degradable systems: A survey of multistate system theory. Zbl 0553.62091
1984
Comparison of replacement policies, and renewal theory implications. Zbl 0135.18904
Barlow, R. E.; Proschan, F.
1964
Some reliability applications of the hazard transform. Zbl 0198.24902
Esary, J. D.; Marshall, A. W.; Proschan, F.
1970
Piecewise exponential estimator of the survivor function. Zbl 0729.62536
Kim, Jee Soo; Proschan, Frank
1991
A stochastic ordering of partial sums of independent random variables and of some random processes. Zbl 0757.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1992
Information, censoring, and dependence. Zbl 0770.62088
Hollander, Myles; Proschan, Frank; Sconing, James
1990
Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102
1967
A simple model with applications in structural reliability, extinction of species, inventory depletion and urn sampling. Zbl 0385.90048
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
Unified treatment of inequalities of the Weierstrass product type. Zbl 0416.26013
1979
Max-infinite divisibility and multivariate total positivity. Zbl 0814.60014
Alzaid, Abdulhamid A.; Proschan, Frank
1994
Stochastic comparisons of random processes, with applications in reliability. Zbl 0271.60097
Pledger, Gordon; Proschan, Frank
1973
Bounds on differences of order statistics. Zbl 0468.62043
Fahmy, Salwa; Proschan, Frank
1981
The influence of the sample on the posterior distribution. Zbl 0516.62035
Fahmy, Salwa; Proschan, Frank; Pereira, Carlos A. de B.; Shaked, Moshe
1982
Dispersive ordering results. Zbl 0527.60014
Lynch, James; Mimmack, Gillian; Proschan, Frank
1983
Optimum redundancy when components are subject to two kinds of failure. Zbl 0124.11005
Barlow, R. E.; Hunter, L. C.; Proschan, F.
1963
Stochastic rearrangement inequalities. Zbl 0629.60015
Chan, Wai; D’Abadie, Catherine; Proschan, Frank
1987
Reliability and biometry. Statistical analysis of lifelength. Conference on reliability and biometry held at the Florida State University, Tallahassee, July 9-27, 1973. Zbl 0286.62071
1974
Dispersivity and stochastic majorization. Zbl 0744.62073
Alzaid, Abdulhamid A.; Proschan, Frank
1992
Schur-Ostrowski theorems for functionals on $$L_ 1(0,1)$$. Zbl 0697.26010
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1987
A multivariate new better than used class derived from a shock model. Zbl 0522.90037
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1983
Testing whether new is better than used of a specified age, with randomly censored data. Zbl 0588.62178
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1985
Optimal assembly of systems using Schur functions and majorization. Zbl 0647.90039
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1987
On optimal redundancy. Zbl 1255.90052
Black, Guy; Proschan, Frank
1959
Optimum search for objects having unknown arrival times. Zbl 1255.90066
Blachman, Nelson; Proschan, Frank
1959
A test for superadditivity of the mean value function of a non- homogeneous Poisson process. Zbl 0283.62091
Hollander, Myles; Proschan, Frank
1974
Confidence and tolerance intervals for the normal distribution. Zbl 0051.37101
Proschan, Frank
1953
Mathematical theory of reliability. Translated from the English by I. A. Ushakov. Edited by B. V. Gnedenko. (Математическая теория надежности.) Zbl 0175.17301
Barlow, R. E.; Proschan, F.
1969
Optimal arrangement of systems. Zbl 0544.90044
Boland, Philip J.; Proschan, Frank
1984
A new approach to inference from accelerated life tests. Zbl 0444.62113
Proschan, Frank; Singpurwalla, Nozer D.
1980
Estimating jointly system and component reliabilities using a mutual censorship approach. Zbl 0693.62080
Doss, Hani; Freitag, Steven; Proschan, Frank
1989
Stochastic order for inspection and repair policies. Zbl 0737.62089
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Mathematical theory of reliability. With contributions by Larry C. Hunter. Zbl 0874.62111
Barlow, Richard E.; Proschan, Frank
1996
A general composition theorem and its applications to certain partial orderings of distributions. Zbl 0813.62009
Joag-dev, Kumar; Kochar, Subhash; Proschan, Frank
1995
A review: The arrangement increasing partial ordering. Zbl 0822.90072
Kim, Jee Soo; Proschan, Frank
1995
Applications of the hazard rate ordering in reliability and order statistics. Zbl 0793.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Schur properties of convolutions of exponential and geometric random variables. Zbl 0790.62020
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Max-infinite divisibility and multivariate total positivity. Zbl 0814.60014
Alzaid, Abdulhamid A.; Proschan, Frank
1994
Convex functions, partial orderings, and statistical applications. Zbl 0749.26004
Pečarić, Josip E.; Proschan, Frank; Tong, Y. L.
1992
Stochastic order for redundancy allocations in series and parallel systems. Zbl 0748.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1992
Birthday problem with unlike probabilities. Zbl 0769.60008
Joag-Dev, Kumar; Proschan, Frank
1992
A stochastic ordering of partial sums of independent random variables and of some random processes. Zbl 0757.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1992
Dispersivity and stochastic majorization. Zbl 0744.62073
Alzaid, Abdulhamid A.; Proschan, Frank
1992
Laplace ordering and its applications. Zbl 0721.60097
Alzaid, Abdulhamid; Kim, Jee Soo; Proschan, Frank
1991
Independence of time and cause of failure in the multiple dependent competing risks model. Zbl 0822.62082
Kochar, Subhash C.; Proschan, Frank
1991
Redundancy importance and allocation of spares in coherent systems. Zbl 0759.62025
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Piecewise exponential estimator of the survivor function. Zbl 0729.62536
Kim, Jee Soo; Proschan, Frank
1991
Stochastic order for inspection and repair policies. Zbl 0737.62089
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Convex-ordering among functions, with applications to reliability and mathematical statistics. Zbl 0770.62086
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1990
Information, censoring, and dependence. Zbl 0770.62088
Hollander, Myles; Proschan, Frank; Sconing, James
1990
Some majorization inequalities for functions of exchangeable random variables. Zbl 0769.60017
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1990
A covariance inequality for coherent structures. Zbl 0687.62083
Joag-Dev, Kumar; Proschan, Frank
1990
Modelling dependence in simple and indirect majority systems. Zbl 0671.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Optimal arrangement of components via pairwise rearrangements. Zbl 0685.90047
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Estimating jointly system and component reliabilities using a mutual censorship approach. Zbl 0693.62080
Doss, Hani; Freitag, Steven; Proschan, Frank
1989
Crossing properties of mixture distributions. Zbl 1134.60318
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Multivariate arrangement increasing functions with applications in probability and statistics. Zbl 0648.62052
Boland, Philip J.; Proschan, Frank
1988
Active redundancy allocation in coherent systems. Zbl 1134.90350
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1988
Moment and geometric probability inequalities arising from arrangement increasing functions. Zbl 0638.60013
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1988
Quality control and reliability. Zbl 0673.62089
1988
Stochastic comparisons of order statistics, with applications in reliability. Zbl 0641.62033
Kim, Jee Soo; Proschan, Frank; Sethuraman, Jayaram
1988
Uniform stochastic orderings and total positivity. Zbl 0617.62005
Lynch, James; Mimmack, Gillian; Proschan, Frank
1987
Stochastic rearrangement inequalities. Zbl 0629.60015
Chan, Wai; D&rsquo;Abadie, Catherine; Proschan, Frank
1987
Schur-Ostrowski theorems for functionals on $$L_ 1(0,1)$$. Zbl 0697.26010
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1987
Optimal assembly of systems using Schur functions and majorization. Zbl 0647.90039
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1987
Schur convexity of the maximum likelihood function for the multivariate hypergeometric and multinomial distributions. Zbl 0642.62034
Boland, Philip J.; Proschan, Frank
1987
Measuring information in right-censored models. Zbl 0674.62003
Hollander, Myles; Proschan, Frank; Sconing, James
1987
Fault diversity in software reliability. Zbl 1133.90322
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1987
Testing exponentiality versus a trend change in mean residual life. Zbl 0613.62122
Guess, Frank; Hollander, Myles; Proschan, Frank
1986
Optimal allocation of components in parallel-series and series-parallel systems. Zbl 0612.60074
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1986
A class of life distributions for aging. Zbl 0601.62122
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1986
Distributions with monotone failure rate. Zbl 0681.62089
Barlow, R. E.; Proschan, F.
1986
Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average. Zbl 0605.62036
Boyles, R. A.; Marshall, A. W.; Proschan, F.
1985
Testing whether new is better than used of a specified age, with randomly censored data. Zbl 0588.62178
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1985
Percentile residual life functions. Zbl 0558.62084
Joe, Harry; Proschan, Frank
1984
Comparison of two life distributions on the basis of their percentile residual life functions. Zbl 0554.62084
Joe, Harry; Proschan, Frank
1984
A simple test for new better than used in expectation. Zbl 0586.62159
de Souza Borges, Wagner; Proschan, Frank; Rodrigues, Josemar
1984
Nonparametric concepts and methods in reliability. Zbl 0596.62099
Hollander, Myles; Proschan, Frank
1984
Degradable systems: A survey of multistate system theory. Zbl 0553.62091
1984
Optimal arrangement of systems. Zbl 0544.90044
Boland, Philip J.; Proschan, Frank
1984
Some imperfect maintenance models. Zbl 0621.90036
Fontenot, Robert A.; Proschan, Frank
1984
Random averaging of vector elements. Zbl 0541.60025
Proschan, Frank; Shaked, Moshe
1984
Monotonicity in selection problems: A unified approach. Zbl 0542.62017
Berger, Roger L.; Proschan, Frank
1984
Negative association of random variables, with applications. Zbl 0508.62041
Joag-Dev, Kumar; Proschan, Frank
1983
Imperfect repair. Zbl 0526.60080
Brown, Mark; Proschan, Frank
1983
The reliability of k out of n systems. Zbl 0519.62086
Boland, Philip J.; Proschan, Frank
1983
Optimum replacement of a system subject to shocks. Zbl 0521.90053
Boland, Philip J.; Proschan, Frank
1983
Dispersive ordering results. Zbl 0527.60014
Lynch, James; Mimmack, Gillian; Proschan, Frank
1983
A multivariate new better than used class derived from a shock model. Zbl 0522.90037
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1983
Tests for properties of the percentile residual life function. Zbl 0522.62083
Joe, Harry; Proschan, Frank
1983
Tests for properties of residual life. Zbl 0531.62088
Joe, Harry; Proschan, Frank
1983
A new method for estimating life distributions from incomplete data. Zbl 0563.62082
Kitchin, John; Langberg, Naftali A.; Proschan, Frank
1983
Periodic replacement with increasing minimal repair costs at failure. Zbl 0514.90032
Boland, Philip J.; Proschan, Frank
1982
The influence of the sample on the posterior distribution. Zbl 0516.62035
Fahmy, Salwa; Proschan, Frank; Pereira, Carlos A. de B.; Shaked, Moshe
1982
Estimating dependent life lengths, with applications to the theory of competing risks. Zbl 0463.62091
Langberg, N.; Proschan, F.; Quinzi, A. J.
1981
Generalized association, with applications in multivariate statistics. Zbl 0502.62056
Ahmed, Abdul-Hadi N.; Leon, Ramon; Proschan, Frank
1981
Bounds on differences of order statistics. Zbl 0468.62043
Fahmy, Salwa; Proschan, Frank
1981
Decreasing in transposition property of overlapping sums, and applications. Zbl 0453.62084
Hollander, M.; Proschan, F.; Sethuraman, J.
1981
The extreme points of the set of decreasing failure rate distributions. Zbl 0449.62009
Langberg, Naftali A.; Leon, Ramon V.; Lynch, James; Proschan, Frank
1981
Unified treatment of some inequalities among ratios of means. Zbl 0459.26008
1981
Characterization of nonparametric classes of life distributions. Zbl 0448.60016
Langberg, Naftali A.; Leon, Ramon V.; Proschan, Frank
1980
A new approach to inference from accelerated life tests. Zbl 0444.62113
Proschan, Frank; Singpurwalla, Nozer D.
1980
Correction to: Tests for the mean residual life. Zbl 0424.62070
Hollander, M.; Proschan, F.
1980
Extreme points of the class of discrete decreasing failure rate life distributions. Zbl 0432.62072
Langberg, Naftali A.; Leon, Ramon V.; Lynch, James; Proschan, Frank
1980
Testing to determine the underlying distribution using randomly censored data. Zbl 0419.62041
Hollander, Myles; Proschan, Frank
1979
Unified treatment of inequalities of the Weierstrass product type. Zbl 0416.26013
1979
An inequality for convex functions involving G-majorization. Zbl 0418.60028
Leon, Ramon V.; Proschan, Frank
1979
Accelerated life testing. A pragmatic Bayesian approach. Zbl 0469.62078
Proschan, Frank; Singpurwalla, Nozer D.
1979
Multistate coherent systems. Zbl 0386.60061
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
Converting dependent models into independent ones, preserving essential features. Zbl 0382.62083
Langberg, N.; Proschan, F.; Quinzi, A. J.
1978
A simple model with applications in structural reliability, extinction of species, inventory depletion and urn sampling. Zbl 0385.90048
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
A probability model for initial crack size and fatigue life of gun barrels. Zbl 0389.90049
Proschan, F.; Sethuraman, J.
1978
Statistische Theorie der Zuverlässigkeit. Wahrscheinlichkeitstheoretische Modelle. In deutscher Sprache hrsg. v. Peter Franken. Lizenzausg. Zbl 0411.62071
Barlow, Richard E.; Proschan, Frank
1978
Functions decreasing in transposition and their applications in ranking problems. Zbl 0356.62043
Hollander, Myles; Proschan, Frank; Sethuraman, Jayaram
1977
Schur functions in statistics. II: Stochastic majorization. Zbl 0383.62039
Nevius, S. E.; Proschan, F.; Sethuraman, J.
1977
Schur functions in statistics. I: The preservation theorem. Zbl 0361.62055
Proschan, F.; Sethuraman, J.
1977
Asymptotic theory of total time on test processes with applications to life testing. Zbl 0365.62101
Barlow, Richard E.; Proschan, Frank
1977
Two generalizations of Muirhead’s theorem. Zbl 0416.26012
Proschan, F.; Sethuraman, J.
1977
A stochastic version of weak majorization, with applications. Zbl 0418.60027
Nevius, S. E.; Proschan, F.; Sethuraman, J.
1977
Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability. Zbl 0346.60058
Proschan, F.; Sethuraman, J.
1976
Estimating the parameters of a multivariate exponential distribution. Zbl 0336.62026
Proschan, Frank; Sullo, Pasquale
1976
Theory of maintained systems: Distribution of time to first system failure. Zbl 0457.90034
Barlow, Richard E.; Proschan, Frank
1976
Statistical theory of reliability and life testing. Zbl 0379.62080
Barlow, Richard E.; Proschan, Frank
1975
Tests for the mean residual life. Zbl 0322.62098
Hollander, Myles; Proschan, Frank
1975
Importance of system components and fault tree events. Zbl 0312.62072
Barlow, Richard E.; Proschan, Frank
1975
Shock models with underlying birth process. Zbl 0322.60074
A-Hameed, M. S.; Proschan, F.
1975
Applications of majorization and Schur functions in reliability and life testing. Zbl 0321.62097
Proschan, Frank
1975
Simple multivariate inequalities using association. Zbl 0346.60002
Proschan, F.; Sethuraman, J.
1975
Reliability and biometry. Statistical analysis of lifelength. Conference on reliability and biometry held at the Florida State University, Tallahassee, July 9-27, 1973. Zbl 0286.62071
1974
A test for superadditivity of the mean value function of a non- homogeneous Poisson process. Zbl 0283.62091
Hollander, Myles; Proschan, Frank
1974
Shock models and wear processes. Zbl 0262.60067
Esary, J. D.; Marshall, A. W.; Proschan, F.
1973
Nonstationary shock models. Zbl 0279.60085
Abdel-Hameed, M. S.; Proschan, F.
1973
...and 35 more Documents
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### Cited in 422 Serials

 324 Communications in Statistics. Theory and Methods 305 Statistics & Probability Letters 184 European Journal of Operational Research 172 Journal of Statistical Planning and Inference 127 Journal of Inequalities and Applications 123 Probability in the Engineering and Informational Sciences 101 Journal of Applied Probability 101 Journal of Multivariate Analysis 66 Metrika 59 Insurance Mathematics & Economics 57 Statistical Papers 55 Statistics 55 Stochastic Processes and their Applications 54 Journal of Mathematical Analysis and Applications 49 International Journal of Systems Science 46 Operations Research Letters 45 Annals of the Institute of Statistical Mathematics 44 Journal of Nonparametric Statistics 41 Methodology and Computing in Applied Probability 38 Annals of Operations Research 35 Journal of Statistical Computation and Simulation 34 Applied Mathematics and Computation 31 Applied Mathematical Modelling 31 Communications in Statistics. Simulation and Computation 29 Naval Research Logistics 26 The Canadian Journal of Statistics 26 Acta Mathematicae Applicatae Sinica. English Series 23 Computers & Mathematics with Applications 23 Computers & Operations Research 22 The Annals of Statistics 22 Mathematical and Computer Modelling 21 Computational Statistics and Data Analysis 21 Cybernetics and Systems Analysis 20 Advances in Applied Probability 20 Abstract and Applied Analysis 20 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 20 AIMS Mathematics 19 Linear Algebra and its Applications 19 Test 19 Applied Mathematics. Series B (English Edition) 19 Naval Research Logistics Quarterly 18 Acta Mathematica Sinica. English Series 18 Stochastics 18 Journal of the Korean Statistical Society 17 Journal of Computational and Applied Mathematics 16 Journal of Economic Theory 15 Filomat 15 Lifetime Data Analysis 14 Rocky Mountain Journal of Mathematics 13 Statistical Science 13 Economic Quality Control 13 Bernoulli 13 Applied Stochastic Models in Business and Industry 13 Journal of Mathematical Inequalities 13 Journal of Statistical Theory and Practice 13 Journal of Function Spaces 12 Mathematical Biosciences 12 Stochastic Analysis and Applications 12 Journal of Theoretical Probability 12 The Annals of Applied Probability 12 Open Mathematics 11 Journal of Mathematical Psychology 11 Queueing Systems 11 Discrete Dynamics in Nature and Society 11 Journal of Systems Science and Complexity 10 Journal of Econometrics 10 Journal of Information & Optimization Sciences 10 Mathematical Social Sciences 10 Acta Mathematica Hungarica 10 Aequationes Mathematicae 10 Journal of Applied Statistics 10 Advances in Difference Equations 9 Scandinavian Journal of Statistics 9 Information Sciences 9 Optimization 9 Probability Theory and Related Fields 9 Statistische Hefte 9 Mathematical Methods of Operations Research 9 Scandinavian Actuarial Journal 9 Stochastic Models 8 Lithuanian Mathematical Journal 8 Psychometrika 8 Journal of Approximation Theory 8 Journal of Mathematical Economics 8 Journal of Soviet Mathematics 8 Metron 8 Theory and Decision 8 OR Spektrum 8 Sequential Analysis 8 Zeitschrift für Operations Research. Serie A: Theorie 8 Brazilian Journal of Probability and Statistics 8 Statistical Methodology 7 Mathematical Notes 7 Theory of Probability and its Applications 7 The Annals of Probability 7 Fuzzy Sets and Systems 7 Mathematische Nachrichten 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Applied Mathematics Letters 7 Journal of Mathematical Sciences (New York) ...and 322 more Serials
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### Cited in 50 Fields

 1,923 Statistics (62-XX) 1,790 Probability theory and stochastic processes (60-XX) 899 Operations research, mathematical programming (90-XX) 383 Real functions (26-XX) 267 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 129 Numerical analysis (65-XX) 83 Computer science (68-XX) 70 Systems theory; control (93-XX) 57 Information and communication theory, circuits (94-XX) 50 Combinatorics (05-XX) 41 Biology and other natural sciences (92-XX) 31 Special functions (33-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 26 Functional analysis (46-XX) 25 Difference and functional equations (39-XX) 25 Operator theory (47-XX) 24 Statistical mechanics, structure of matter (82-XX) 21 Convex and discrete geometry (52-XX) 20 Approximations and expansions (41-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Measure and integration (28-XX) 12 Number theory (11-XX) 11 Integral transforms, operational calculus (44-XX) 9 Mathematical logic and foundations (03-XX) 8 Functions of a complex variable (30-XX) 7 History and biography (01-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 4 Mechanics of deformable solids (74-XX) 3 Partial differential equations (35-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 3 General topology (54-XX) 2 General algebraic systems (08-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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