Exact Moments of Generalized Akash Order Statistics

Authors

  • Arin Boonmeekham Department of Statistics, Faculty of Science, Kasetsart University, Bangkok, Thailand
  • Juthaphorn Sinsomboonthong Department of Statistics, Faculty of Science, Kasetsart University, Bangkok, Thailand
  • Thidaporn Supapakorn Department of Statistics, Faculty of Science, Kasetsart University, Bangkok, Thailand

Keywords:

Best linear unbiased estimator, lifetime distribution, location and scale parameters, order statistics, type-II censoring

Abstract

A generalized Akash distribution (GAD) has been proposed recently to analyze the lifetime data. For this distribution, exact explicit expressions for single moments, product moments, marginal moment generating functions and joint moment generating functions of order statistics are derived. By using these, the expected values, second moments, variances and covariances of order statistic from
sample of sizes up to 10 for various values of the parameters are shown. In addition, best linear unbiased estimates of the parameters from location-scale GAD based on Type-II right-censored sample are obtained by using the derived moments.

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Published

2023-09-27

How to Cite

Boonmeekham, A. ., Sinsomboonthong, J. ., & Supapakorn, T. . (2023). Exact Moments of Generalized Akash Order Statistics. Thailand Statistician, 21(4), 735–758. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/251050

Issue

Vol. 21 No. 4 (2023): October

Section

Articles

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