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Statistical inferences for type-II hybrid censoring data from the alpha power exponential distribution

Author

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  • Mukhtar M Salah
  • Essam A Ahmed
  • Ziyad A Alhussain
  • Hanan Haj Ahmed
  • M El-Morshedy
  • M S Eliwa

Abstract

This paper describes a method for computing estimates for the location parameter μ > 0 and scale parameter λ > 0 with fixed shape parameter α of the alpha power exponential distribution (APED) under type-II hybrid censored (T-IIHC) samples. We compute the maximum likelihood estimations (MLEs) of (μ, λ) by applying the Newton-Raphson method (NRM) and expectation maximization algorithm (EMA). In addition, the estimate hazard functions and reliability are evaluated by applying the invariance property of MLEs. We calculate the Fisher information matrix (FIM) by applying the missing information rule, which is important in finding the asymptotic confidence interval. Finally, the different proposed estimation methods are compared in simulation studies. A simulation example and real data example are analyzed to illustrate our estimation methods.

Suggested Citation

  • Mukhtar M Salah & Essam A Ahmed & Ziyad A Alhussain & Hanan Haj Ahmed & M El-Morshedy & M S Eliwa, 2021. "Statistical inferences for type-II hybrid censoring data from the alpha power exponential distribution," PLOS ONE, Public Library of Science, vol. 16(1), pages 1-16, January.
    • Handle: RePEc:plo:pone00:0244316
    DOI: 10.1371/journal.pone.0244316
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    References listed on IDEAS

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    1. Balakrishnan, N. & Kundu, Debasis, 2013. "Hybrid censoring: Models, inferential results and applications," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 166-209.
    2. A. Childs & B. Chandrasekar & N. Balakrishnan & D. Kundu, 2003. "Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 319-330, June.
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    Cited by:

    1. Mazen Nassar & Refah Alotaibi & Chunfang Zhang, 2022. "Estimation of Reliability Indices for Alpha Power Exponential Distribution Based on Progressively Censored Competing Risks Data," Mathematics, MDPI, vol. 10(13), pages 1-25, June.

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