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Discriminating among Generalized Exponential, Weighted Exponential and Weibull Distributions

Author

Listed:
  • Ruizheng Niu

    (School of Science, Xi’an University of Technology, Xi’an 710048, China)

  • Weizhong Tian

    (College of Big Data and Internet, Shenzhen Technology University, Shenzhen 518118, China)

  • Yunchu Zhang

    (College of New Material and New Energy, Shenzhen Technology University, Shenzhen 518118, China)

Abstract

In this paper, we consider the problem of discriminating among three different positively skewed lifetime distributions, namely the generalized exponential distribution, the weighted exponential distribution, and the Weibull distribution. All of these distributions have been used quite effectively to analyze positively skewed lifetime data. We use the methods of the ratio of maximized likelihood, the minimum Kolmogorov distance, and the sequential probability ratio test to discriminate among these three distributions. The probability of correct selection is considered for each hypothesis based on several scenarios with Monte Carlo simulation. Real data applications are studied to illustrate the effectiveness of these proposed methods.

Suggested Citation

  • Ruizheng Niu & Weizhong Tian & Yunchu Zhang, 2023. "Discriminating among Generalized Exponential, Weighted Exponential and Weibull Distributions," Mathematics, MDPI, vol. 11(18), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3847-:d:1235521
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    References listed on IDEAS

    as
    1. Gupta, Rameshwar D. & Kundu, Debasis, 2003. "Discriminating between Weibull and generalized exponential distributions," Computational Statistics & Data Analysis, Elsevier, vol. 43(2), pages 179-196, June.
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