A Comparative Study of Traditional Estimation Methods and Maximum Product Spacings Method in Generalized Inverted Exponential Distribution

Abstract

In this paper, we propose the method of Maximum product of spacings for point estimation of parameter of generalized inverted exponential distribution (GIED). The aim of this paper is to analyse the small sample behaviour of proposed estimators. Further, we have also proposed asymptotic confidence interv als of the parameters and the estimates of reliability and ha zard function using Maximum Product Spacings (MPS) method and compared with corresponding asymptotic confidence intervals and the es timates of reliability and hazard function of Maximum Likelihood estimation (MLEs). A comparative study among the method of MLE, method of least square (LSE) and the method of maximum product of spacings (MPS) is performed on the basis of simulated sample of GIED. The MPS method outperforms the method of MLE and the method ofLSE. Furthermore, comparison of different estimation method have been proposed on the basis of K-S distance and AIC. For numerical illustration one real data set has been considered.