Discriminating Between New Weibull Pareto Distribution and Weibull Distribution

Authors

  • K.N.V.R. Lakshmi Andhra Loyola College, Vijayawada, Andhra Pradesh, India
  • Boyapati Srinivasa Rao Department of Mathematics and Humanities, R.V.R & J.C College of Engineering, Chowdavaram, Guntur, Andhra Pradesh, India

Keywords:

New Weibull Pareto distribution (NWPD), Weibull distribution (WD), likelihood function, order statistics, quantiles, power of the test

Abstract

In this paper, distinguision between the new Weibull Pareto distribution and the Weibull distribution, test statistics based on likelihood functions, order statistics, and population quantiles are suggested. The percentiles of the proposed test statistics are tabulated with the aid of simulated sampling distributions of the test statistics due to the non-tractability of their exact sampling distributions. The test statistics power is also tabulated, and a comparison between the powers for a given sample and the level of significance is calculated.

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Published

2024-12-25

How to Cite

Lakshmi, K. ., & Rao, B. S. . (2024). Discriminating Between New Weibull Pareto Distribution and Weibull Distribution. Thailand Statistician, 23(1), 217–227. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/257234

Issue

Vol. 23 No. 1 (2025): January

Section

Articles

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.