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.