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Aalen American Statistical Association Annals of Mathematical Annals of Statistics applications approximation assume asymptotic normality Basu Biometrika bivariate Breslow censored data censored survival data competing risks component computed condition consider corresponding counting process covariate Crowley decreasing defined denote density Dirichlet Dirichlet process distribution function equation errors exponential distribution failure rate function Fourier given hazard function hazard ratio homoscedastic increments independent integral Journal Kalbfleisch Koul large sample LEMMA lifetime linear logrank test martingale Mathematical Statistics mator multivariate negative dependence nonparametric normal distribution null observed obtained parameter partial likelihood Peto Pocock Prentice probability problem procedure progressively censored proof properties proportional hazards Proschan random censoring random variables regression model relative risk Research risk function Ryzin score score statistic Section sequential entry simulation Singpurwalla stochastic survival analysis survival function Susarla test statistics THEOREM theory transform Tsiatis University values variance Weibull
Page 9 - J. (1980). Interaction between life history events. Nonparametric analysis for prospective and retrospective data in the presence of censoring.
Page 25 - This research was supported (in part) by the National Institutes of Health Grant No.
Page 226 - Accelerated life testing of a product under more severe than normal conditions is commonly used to reduce test time and costs. Data collected at such accelerated conditions are used to obtain estimates of the parameters of a stress translation function. This function is then used to make inference about the product's life under normal operating conditions. We consider the problem of accelerated life tests when the product of interest is ap component series system. Each of the components is assumed...
Page 135 - Acknowledgement This research was sponsored by the Office of Naval Research under Contract N00014-71-C-0294 and the Defence Advanced Research Projects Agency under Contract DAHC04-72-C-0008.
Page 227 - This research was supported in part by the Office of Naval Research Grant Number NOOO 14-99-0091.
Page 164 - Barlow RE, Madansky A., Proschan F. and Scheuer EM (1968), "Statistical Estimation Procedures for the "Burn-In" Process", Technometrics,
Page 187 - ... by the Air Force Office of Scientific Research, AFSC, USAF, under Grant AFOSR 80-0170.
Page 178 - Technome tries 5, 375-383. Sunjata, MH (1974). Sensitivity analysis of a reliability estimation procedure for a component whose failure density is a mixture of exponential failure densities. Naval Postgraduate School, Monterey. Unpublished thesis. Vannman, K. (1976). Estimators based on order statistics from a Pareto distribution.