The Introduction of General Progressive Type II Censoring

Document Type : Scientific Research

Authors

Abstract

In this article, at first the concept of the failure time is expressed and then censoring and its varieties, especially General Progressive Type II Censoring design, as well as its properties are studied in the form of some theorems. Also an example is presented to illustrate the methodology, definitions and properties.

Keywords


حیدری، فریبرز. (1377). تابع راست‌نمایی برای مدل‌های سانسور معمولی در آنالیز بقاء، گلچین ریاضی، جلد پنجم، شماره 1.
 
Aggarwala, R. and Balakrishnan, N. (1998). Some properties of progressive censored order statistics from arbitrary and uniform distribiutions with applications to inference and simulation. Journal of statistical planning and inference. 70, 35-49.
Balakrishnan, N. and Sandhu, R.A. (1995). A simple simulational algorithm for generating progressive type II censored samples. The American Statistician, Vol. 49, No.2. pp.229-230.
Balakrishnan, N., Cramer, E., kamps, U. and sckenk, N. (2001). Progressive type II censored order statistics from exponential distributions. Statistics 35, 537-556.
Bandyopadhyay, U. and Chattopadhyay, G. (1995). Progressive censoring under inverse sampling for nonparametric two-sample problems. Sequential Anal. 14, 1-28.
Davis, H.T. and Feldstein, M.L. (1979). The generalized pareto law as a model for progressively censored survival data. Biometrica 66, 299-306.
Guilbaud, O. (2001). Exact non-parametric confidence intervals for quantiles with progressive type II censoring. Scand. J. statis. 28, 699-713.
Halperin, M., Hamdy, M.I. and Thall, P.F. (1989). Distribution - free confiedence interval for a parameter of Wilcoxon -Mann - Whitney type for ordered categories and progressive censoring. Biometrics 45, 509-521.
Sen, P.K. (1979). Weak convergence of some quantile processes arising in progressively censored tests. Ann. Statist. 7, 414-431.
Sinha, S.K. (1986). Reliability and life testing. Wiley Eatern Ltd, India: Dehli.
Viveros, R. and Balakrishnan, N. (1994). Interval estimation of life characteristics from progressively censored samples. Technometrics 36, 84-91.
Yuen, H.K. and Tse, S.K. (1996). Parametersestimation for Weibull distributed lifetimes under progressive censoring with random removals. J. Statistics. Comput. Simulation 55, 57-71.