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Maximum Product Spacing Estimation of Weibull Distribution Under Adaptive Type-II Progressive Censoring Schemes

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Abstract

The adaptive type-II progressive censoring schemes of maximum product spacing will be discussed. This article discusses the estimation of the Weibull parameters using the maximum product spacing and the maximum likelihood estimation methods. We also discuss the construction of reliability estimation of adaptive type-II progressively censored reliability sampling schemes for the Weibull distribution to determine the optimal adaptive type-II progressive censoring schemes. The estimation is done under adaptive type-II progressive censored samples and a comparative study among the methods is made using Monte Carlo simulation. A real data is used to study the performance of the estimation process under this optimal scheme in practice.

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Authors and Affiliations

  1. Faculty of Business Administration, Delta University of Science and Technology, Mansoura, Egypt

    E. M. Almetwally

  2. Faculty of Commerce, Mansoura University, Mansoura, Egypt

    H. M. Almongy

  3. Department of Statistics, Patna University, Patna, Bihar, 800005, India

    M. K. Rastogi

  4. Faculty of Commerce, Damietta University, Damietta, Egypt

    M. Ibrahim

Authors
  1. E. M. Almetwally
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  2. H. M. Almongy
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  3. M. K. Rastogi
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  4. M. Ibrahim
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Correspondence to E. M. Almetwally.

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Almetwally, E.M., Almongy, H.M., Rastogi, M.K. et al. Maximum Product Spacing Estimation of Weibull Distribution Under Adaptive Type-II Progressive Censoring Schemes. Ann. Data. Sci. 7, 257–279 (2020). https://doi.org/10.1007/s40745-020-00261-5

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  • DOI: https://doi.org/10.1007/s40745-020-00261-5

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