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Reliability Estimation for poisson-exponential model under Progressive type-II censoring data with binomial removal data

Author

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  • Manoj Kumar

    (Central University of Rajasthan, Ajmer - India)

  • Sanjay Kumar Singh

    (Banaras Hindu University, Varanasi - India)

  • Umesh Singh

    (Banaras Hindu University, Varanasi - India)

Abstract

In this paper, a poissoin-exponential distribution(PED) is considered as a lifetime model. Its statistical characteristics and important distributional properties are discussed by Louzada-Neto et al.[13]. The method of Maximum likelihood estimation and least square estimation of parameters involved along with reliability and failure rate functions is also studied here. In view of cost and time constraints, Progressive type-II censored data with binomial removals (PT-II CBRs) have been used. Finally, a real data example is given to show the practical applications of the paper.

Suggested Citation

  • Manoj Kumar & Sanjay Kumar Singh & Umesh Singh, 2016. "Reliability Estimation for poisson-exponential model under Progressive type-II censoring data with binomial removal data," Statistica, Department of Statistics, University of Bologna, vol. 76(1), pages 3-26.
    • Handle: RePEc:bot:rivsta:v:76:y:2016:i:1:p:3-26
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    Cited by:

    1. Anurag Pathak & Manoj Kumar & Sanjay Kumar Singh & Umesh Singh, 2022. "Statistical Inferences: Based on Exponentiated Exponential Model to Assess Novel Corona Virus (COVID-19) Kerala Patient Data," Annals of Data Science, Springer, vol. 9(1), pages 101-119, February.
    2. Abhimanyu Singh Yadav & Sudhansu S. Maiti & Mahendra Saha, 2021. "The Inverse Xgamma Distribution: Statistical Properties and Different Methods of Estimation," Annals of Data Science, Springer, vol. 8(2), pages 275-293, June.

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