A Comparative Study of MLE, MPS, WLS and Anderson–Darling Estimators for the Exponentiated Power Shanker Distribution

Authors

  • Kenechukwu Florence Aforka Department of Statistics, Faculty of Physical Sciences Nnamdi Azikiwe University, Awka P.O. Box 5025, Nigeria
  • Sidney I. Onyeagu Department of Statistics, Faculty of Physical Sciences Nnamdi Azikiwe University, Awka P.O. Box 5025, Nigeria
  • Harrison O. Etaga Department of Statistics, Faculty of Physical Sciences Nnamdi Azikiwe University, Awka P.O. Box 5025, Nigeria

Keywords:

Exponentiated Power Shanker Distribution, maximum likelihood estimation, Maximum Product of Spacings, Weighted Least Squares, methods of Anderson-Darling

Abstract

In this paper, we have considered different estimation methods of the unknown parameters of the Exponentiated Power Shanker (EPS) distribution. First, we briefly describe different methods of estimation such as maximum likelihood (MLE), Maximum Product of Spacings (MPS), Weighted Least Squares (WLS), methods of Anderson-Darling (AD), and compare them using extensive simulations studies. Finally, the potentiality of the model is studied using real data set related to the times between failures for repairable items which was initially studied by Murthy, Xie and Jiang (2004). These methods are compared using the Akaike information criterion (AIC), consistent Akaike information criterion (CAIC), Bayesian information criterion (BIC), Hannan-Quinn information criterion (HQIC), Cramer-von Mises (CVM), Anderson-Darling (  and Kolmogorov-Smirnov (KS) statistics. Results show that the MLE and AD are the best methods among the methods in the analytical and graphical procedures.

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Published

2026-04-07

Issue

Vol. 6 No. 1 (2026): UNIZIK Journal of Engineering and Applied Sciences

Section

Articles