Nonparametric Testing for Simple Regression under Progressive Censoring with Staggering Entry and Random Withdrawal
نویسندگان
چکیده
In the context of (multi-center) clinical trials and life testing problems, a general model incorporating both the staggering entry and random withdrawal and pertaining to a simple regression problem (including the two-sample location problem as a special case) is conceived, and, within this framework, a scheme allowing progressive censoring (continuous monitoring of experimentation from the beginning) is developed along with the proposal for and study of some nonparametric testing procedures. The proposed tests rest on the construction of certain two-dimensional time-parameter stochastic processes from a triangular array of progressively censored linear rank statistics and their weak convergence to appropriate Gaussian functions. Asymptotic properties of these procedures are studied. A computer program pertaining to the numerical computations and practical administrations of these testing procedures is also provided at the end.
منابع مشابه
- e STAGGERING ENTRY , RANDOM WITHDRAWAL AND PROGRESS IVE CENSORING SCHEMES
SUMMARY. In a life testing experiment (or a clinical trial), for staggering entry of units (including some batch arrival models), some nonparametric testing procedures (based on a general class of rank statistics and weighted empirical processes) under progressive censoring schemes are considered, for some multiple regression model. Adjustments needed to incorporate dropouts are also discussed....
متن کاملTesting additivity in nonparametric regression under random censorship
In this paper, we are concerned with nonparametric estimation of the multivariate regression function in the presence of right censored data. More precisely, we propose a statistic that is shown to be asymptotically normally distributed under the additive assumption, and that could be used to test for additivity in the censored regression setting.
متن کاملExact hypothesis testing and confidence interval for mean of the exponential distribution under Type-I progressive hybrid censoring
Censored samples are discussed in experiments of life-testing; i.e. whenever the experimenter does not observe the failure times of all units placed on a life test. In recent years, inference based on censored sampling is considered, so that about the parameters of various distributions such as normal, exponential, gamma, Rayleigh, Weibull, log normal, inverse Gaussian, ...
متن کاملModified Progressive Type-II Censoring Procedure in Life-Testing under the Weibull Model
In this paper we introduce a new scheme of censoring and study it under the Weibull distribution. This scheme is a mixture of progressive Type II censoring and self relocating design which was first introduced by Srivastava [8]. We show the superiority of this censoring scheme (PSRD) relative to the classical schemes with respect to “asymptotic variance”. Comparisons are also made with respect ...
متن کاملNonparametric Test for Checking Lack-of-Fit of Quantile Regression Model under Random Censoring
Recently, considerable attention has been devoted to quantile regression under random censoring in both statistical and econometrical literature yet little has been done on the important problem of model checking. This paper proposes a nonparametric test for checking the lack-of-fit of the quantile function of the survival time given the covariates when the survival time is subjected to random ...
متن کامل