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Bayesian Inference for Rayleigh Distribution Under Step-Stress Partially Accelerated Test with Progressive Type-II Censoring with Binomial Removal

Author

Listed:
  • Manoj Kumar

    (Central University of Haryana)

  • Anurag Pathak

    (Central University of Haryana)

  • Sukriti Soni

    (Central University of Rajasthan)

Abstract

In this paper, we propose maximum likelihood estimators (MLEs) and Bayes estimators of parameters of the step-stress partially accelerated life testing of Rayleigh distribution in presence of progressive type-II censoring with binomial removal scheme under Square error loss function, General entropy loss function and Linear exponential loss function . The MLEs and corresponding Bayes estimators are compared in terms of their risks based on simulated samples from Rayleigh distribution. Also, we present to analyze two sets of real data to show its applicability.

Suggested Citation

  • Manoj Kumar & Anurag Pathak & Sukriti Soni, 2019. "Bayesian Inference for Rayleigh Distribution Under Step-Stress Partially Accelerated Test with Progressive Type-II Censoring with Binomial Removal," Annals of Data Science, Springer, vol. 6(1), pages 117-152, March.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:1:d:10.1007_s40745-019-00192-w
    DOI: 10.1007/s40745-019-00192-w
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    References listed on IDEAS

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    1. M. E. Ghitany & D. K. Al-Mutairi, 2008. "Size-biased Poisson-Lindley distribution and its application," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-311.
    2. Balakrishnan, N. & Cramer, E. & Kamps, U., 2001. "Bounds for means and variances of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 301-315, October.
    3. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
    4. Ghitany, M.E. & Atieh, B. & Nadarajah, S., 2008. "Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 493-506.
    5. Morris H. Degroot & Prem K. Goel, 1979. "Bayesian estimation and optimal designs in partially accelerated life testing," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(2), pages 223-235, June.
    6. Shuo-Jye Wu & Chun-Tao Chang, 2003. "Inference in the Pareto distribution based on progressive Type II censoring with random removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(2), pages 163-172.
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    Cited by:

    1. Abhimanyu Singh Yadav & Subhradev Sen & Sudhansu S. Maiti & Mahendra Saha & Shivanshi Shukla, 2023. "Some Further Properties and Bayesian Inference for Inverse xgamma Distribution Under Progressive Type-II Censored Scheme," Annals of Data Science, Springer, vol. 10(2), pages 455-479, April.
    2. Devendra Kumar & M. Nassar & Sanku Dey, 2023. "Progressive Type-II Censored Data and Associated Inference with Application Based on Li–Li Rayleigh Distribution," Annals of Data Science, Springer, vol. 10(1), pages 43-71, February.
    3. Paula Ianishi & Oilson Alberto Gonzatto Junior & Marcos Jardel Henriques & Diego Carvalho do Nascimento & Gabriel Kamada Mattar & Pedro Luiz Ramos & Anderson Ara & Francisco Louzada, 2022. "Probability on Graphical Structure: A Knowledge-Based Agricultural Case," Annals of Data Science, Springer, vol. 9(2), pages 327-345, April.
    4. Varun Agiwal, 2023. "Bayesian Estimation of Stress Strength Reliability from Inverse Chen Distribution with Application on Failure Time Data," Annals of Data Science, Springer, vol. 10(2), pages 317-347, April.
    5. Anurag Pathak & Manoj Kumar & Sanjay Kumar Singh & Umesh Singh & Manoj Kumar Tiwari & Sandeep Kumar, 2022. "Bayesian inference for Maxwell Boltzmann distribution on step-stress partially accelerated life test under progressive type-II censoring with binomial removals," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(4), pages 1976-2010, August.
    6. Aliyu Ismail Ishaq & Alfred Adewole Abiodun, 2020. "The Maxwell–Weibull Distribution in Modeling Lifetime Datasets," Annals of Data Science, Springer, vol. 7(4), pages 639-662, December.
    7. Tabassum Naz Sindhu & Zawar Hussain, 2022. "Predictive Inference and Parameter Estimation from the Half-Normal Distribution for the Left Censored Data," Annals of Data Science, Springer, vol. 9(2), pages 285-299, April.
    8. Mohamed A. W. Mahmoud & Mohamed G. M. Ghazal & Hossam M. M. Radwan, 2023. "Bayesian Estimation and Optimal Censoring of Inverted Generalized Linear Exponential Distribution Using Progressive First Failure Censoring," Annals of Data Science, Springer, vol. 10(2), pages 527-554, April.

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