Characterization of Exponential Distribution Through Normalized Spacing of Generalized Order Statistics

Abstract

In this paper, exponential distribution is characterized by normalized spacing of generalized order statistics (gos) using Meijer's G-function. While the necessary part of the theorem was given by U. Kamps, E. Cramer, Statistics. 35 (2001), 269–280, we have given an easy proof of sufficient part in this paper. This paper contains the result of characterization of exponential distribution through normalized spacing of order statistics, sequential order statistics, progressive type II censoring and record values. Also, by simulation study, we have shown that the confidence interval based on upper records is shorter in length than asymptotic confidence interval constructed by maximum likelihood estimate.

Keywords

• Continuous distribution
• Generalized order statistics
• Meijer's G-function
• Characterization