Analysis of progressively type-I interval censored competing risks data for a class of an exponential distribution. Issue 18 (11th December 2016)

• Record Type: Journal Article
• Authors: Ahmadi, K.; Yousefzadeh, F.; Rezaei, M.
• Is Part Of: Journal of statistical computation and simulation. Volume 86:Issue 18(2016)
• Page Start: 3629
• Page End: 3652
• Publication Date: 2016-12-11
• Subjects: Competing risks -- point estimation -- point prediction -- progressive type-I interval censoring -- Weibull distribution; 62N01 -- 62N02; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2016.1178747
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: In this paper, we consider some problems of point estimation and point prediction when the competing risks data from a class of exponential distribution are progressive type-I interval censored. The maximum likelihood estimation and mid-point approximation method are proposed for the estimations of parameters. Also several point predictors of censored units such as the maximum likelihood predictor, the best unbiased predictor and the conditional median predictor are obtained. The methods discussed here are applied when the lifetime distributions of the latent failure times are independent and Weibull-distributed. Finally a simulation study is given by using Monte-Carlo simulations to compare the performances of the different methods and one data analysis has been presented for illustrative purposes.