Least Squares and Weighted Least Squares Median Rank Estimation Method for an Inverse Weibull Distribution for Progressively Type-II Censored Samples

Abstract

Inverse Weibull distribution is non-monotonic and unimodal hazard function distribution having wider application in reliability and life testing. Reciprocal of a random variable distributed according to the Weibull distribution has the inverse Weibull distribution. This paper attempts to study the classical approach for parameter estimation of inverse Weibull distribution under progressive type II censoring. Least square median rank estimator and weighted least square median rank estimator are derived, it admits closed form expression. An extensive simulation study compares the performance of these estimators. Lastly, a real data example has been provided for illustrative purposes.

Keywords: Inverse Weibull distribution, progressive type II censoring, least square median rank estimation, weighted least square median rank estimation, Monte Carlo simulation

Cite this Article

A. Loganathan, M. Uma. Least Squares and Weighted Least Squares Median Rank Estimation Method for an Inverse Weibull Distribution for Progressively Type-II Censored Samples. Research & Reviews: Journal of Statistics. 2018; 7(1): 47s–52sp