References
- Bagai , I. and Kochar , S. C. 1986 . On Tail-Ordering and Comparison of Failure Rates . Communications in Statistics, Part A– Theory and Methods , 15 : 1377 – 1388 .
- Barlow , R. E. and Proschan , F. 1975 . Statistical Theory of Reliability and Life Testing , New York : Holt, Reinhart and Winston .
- Barlow , R. E. and Scheuer , E. M. 1971 . Estimation from Accelerated Life Tests . Technometrics , 13 : 145 – 159 .
- Barlow , R. E. , Toland , R. H. and Freeman , T. 1988 . “ A Bayesian Analysis of the Stress-Rupture Life of Kevlar/Epoxy Spherical Pressure Vessels ” . In Accelerated Life Testing and Experts' Opinions in Reliability , Edited by: Clarotti , C. and Lindley , D. Amsterdam : North-Holland .
- Boyles , R. A. , Marshall , A. W. and Proschan , F. 1985 . Inconsistency of the Maximum Likelihood Estimator of a Distribution Having Increasing Failure Rate Average . The Annals of Statistics , 13 : 413 – 417 .
- Boyles , R. A. and Samaniego , F. J. 1984 . Estimating a Survival Curve When New is Better Than Used . Operations Research , 32 : 732 – 740 .
- Caperaa , P. 1988 . Tail Ordering and Asymptotic Efficiency of Rank Tests . The Annals of Statistics , 16 : 470 – 478 .
- Chung , K. L. 1968 . A Course in Probability Theory , New York : Harcourt, Brace and World .
- Crow , L. H. and Shimi , I. N. 1972 . Maximum Likelihood Estimation of Life-Distributions from Renewal Testing . The Annals of Mathematical Statistics , 43 : 1827 – 1838 .
- Dykstra , R. , Kochar , S. and Robertson , T. 1991 . Statistical Inference for Uniform Stochastic Ordering in Several Populations . The Annals of Statistics , 19 : 870 – 888 .
- Dykstra , R. and Laud , P. 1981 . A Bayesian Nonparametric Approach to Reliability . The Annals of Statistics , 9 : 356 – 367 .
- Grenander , U. 1956 . On the Theory of Mortality Measurement, Part II . Scandinavian Actuarial Journal , 39 : 125 – 153 .
- Hollander , M. and Proschan , F. 1983 . “ Nonparametric Concepts and Methods in Reliability ” . In Handbook of Statistics, Vol. 4, Nonparametric Methods , Edited by: Krishniah , P. R. and Sen , P. K. 243 – 268 . Amsterdam : North-Holland .
- Keilson , J. and Sumita , U. 1982 . Uniform Stochastic Ordering and Related Inequalities . Canadian Journal of Statistics , 10 : 181 – 198 .
- Lehmann , E. 1955 . Ordered Families of Distributions . The Annals of Mathematical Statistics , 26 : 399 – 419 .
- Marshall , A. W. and Proschan , F. 1965 . Maximum Likelihood Estimation for Distributions With Monotone Failure Rate . The Annals of Mathematical Statistics , 36 : 69 – 77 .
- Reneau , D. M. and Samaniego , F. J. 1990 . Estimating the Survival Curve When New Is Better Than Used of a Specified Age . Journal of the American Statistical Association , 85 : 123 – 131 .
- Rojo , J. and Samaniego , F. J. 1990a . On Nonparametric Maximum Likelihood Estimation of a Distribution Uniformly Stochastically Smaller Than a Standard . Statistics and Probability Letters , 11 : 267 – 271 .
- Rojo , J. and Samaniego , F. J. 1990b . On Estimating a Survival Curve Subject to a Uniform Stochastic Ordering Constraint , University of California, Div. of Statistics . Technical Report No. 203
- Wang , J. L. 1987 . Estimators of a Distribution Function With Increasing Failure Rate Average . Journal of Statistical Planning and Inference , 16 : 415 – 427 .
- Whitaker , L. R. and Samaniego , F. J. 1989 . Estimating a Survival Curve When New Is Better Than Used in Expectation . Naval Research Logistics , 36 : 693 – 707 .
- Whitt , W. 1980 . Uniform Conditional Stochastic Order . Journal of Applied Probability , 17 : 1962 – 1971 .
- Yanagimoto , T. and Sibuya , M. 1972 . Stochastically Larger Component of a Random Vector . Annals of the Institute of Statistical Mathematics , 24 : 259 – 269 .