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Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application

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  • Mansour Shrahili
  • Naif Alotaibi
  • Devendra Kumar
  • A. R. Shafay

Abstract

Exponentiated power Lindley distribution is proposed as a generalization of some widely well-known distributions such as Lindley, power Lindley, and generalized Lindley distributions. In this paper, the exact explicit expressions for moments of order statistics from the exponentiated power Lindley distribution are derived. By using these relations, the best linear unbiased estimates of the location and scale parameters, based on type-II right-censored sample, are obtained. Next, the mean, variance, and coefficients of skewness and kurtosis of some certain linear functions of order statistics are calculated and then used to derive the approximate confidence interval for the location and scale parameters using the Edgeworth approximation. Finally, some numerical illustrations and two real data applications are presented.

Suggested Citation

  • Mansour Shrahili & Naif Alotaibi & Devendra Kumar & A. R. Shafay, 2020. "Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application," Complexity, Hindawi, vol. 2020, pages 1-14, September.
    • Handle: RePEc:hin:complx:4918342
    DOI: 10.1155/2020/4918342
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    Cited by:

    1. Ahmed M. T. Abd El-Bar & Willams B. F. da Silva & Abraão D. C. Nascimento, 2021. "An Extended log-Lindley-G Family: Properties and Experiments in Repairable Data," Mathematics, MDPI, vol. 9(23), pages 1-15, December.

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