Confidence Bands for Survivor Function of Two Parameters Exponential Distribution under Double Type-II Censoring with Bootstrap Percentile

Abstract

This paper describes existing methods and develops new methods for constructing confidence bands for survivor function of two parameters exponential distribution under double type-II censoring. Our results are built on extensions of previous work by [11] and Balakrishnan [1]. They use maximum likelihood estimator to construct interval estimation under double type-II censoring. The confidence bands are developed for survivor function using the confidence region about survivor function. We will use another method, known as the bootstrap percentile from [4]. This method gives shorter confidence bands compared to the traditional method.