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On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

Author

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  • Mukhtar M. Salah
  • Hijaz Ahmad

Abstract

In this paper the two-parameter α-power exponential distribution is studied. We study the two-parameter α-power exponential μ,λ distribution with the location parameter μ>0 and scale parameter λ>0 under progressive Type-II censored data with fixed shape parameter α. We estimate the maximum likelihood estimators of these unknown parameters numerically since it cannot be solved analytically. We use the approximate best linear unbiased estimators μ∗ and λ∗, as an initial guesses to obtain the MLEs μ^ and λ^. We estimate the interval estimation of these unknowns’ parameters. Monte Carlo simulations are performed and data examples have been provided for illustration and comparison.

Suggested Citation

  • Mukhtar M. Salah & Hijaz Ahmad, 2020. "On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, November.
    • Handle: RePEc:hin:jjmath:2584184
    DOI: 10.1155/2020/2584184
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    Cited by:

    1. O. E. Abo-Kasem & Omnia Ibrahim & Hassan M. Aljohani & Eslam Hussam & Mutua Kilai & Ramy Aldallal, 2022. "Statistical Analysis Based on Progressive Type‐I Censored Scheme from Alpha Power Exponential Distribution with Engineering and Medical Applications," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    2. Ahmed Elshahhat & Osama E. Abo-Kasem & Heba S. Mohammed, 2025. "Statistical Evaluation of Beta-Binomial Probability Law for Removal in Progressive First-Failure Censoring and Its Applications to Three Cancer Cases," Mathematics, MDPI, vol. 13(18), pages 1-31, September.
    3. 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.
    4. Salman Babayi & Mohammad Seidpisheh & Gholamhossein Gholami, 2022. "Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    5. Tahani A. Abushal & Jitendra Kumar & Abdisalam Hassan Muse & Ahlam H. Tolba, 2022. "Estimation for Akshaya Failure Model with Competing Risks under Progressive Censoring Scheme with Analyzing of Thymic Lymphoma of Mice Application," Complexity, John Wiley & Sons, vol. 2022(1).

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