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Link to original content: https://doi.org/10.1007/s13198-016-0528-x
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Bayesian estimation on interval censored Lindley distribution using Lindley’s approximation

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Abstract

Interval censored data commonly arise in engineering and biomedical sciences. The present study deals with Bayesian estimation of interval censored lifetime data while it is assumed that lifetimes follow Lindley distribution. Assuming Jeffrey’s and gamma prior distributions, Bayes estimator of the Lindley parameter has been constructed under symmetric, squared error loss and asymmetric, general entropy loss functions. In addition, Bayes estimators for mean life, reliability and hazard rate have also been constructed. Since posterior distribution can not be reduced to any standard distribution, Lindley’s approximation technique has been utilized for Bayesian computations. The performances of the Bayes estimators has been compared with corresponding maximum likelihood estimators on the basis of simulated samples. Real data sets from engineering and biomedical fields have been analysed for illustration purposes .

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Authors and Affiliations

  1. Department of Mathematics, Institute of Infrastructure Technology, Research and Management (IITRAM), Maninagar East, Ahmedabad, India

    Vikas Kumar Sharma

  2. Department of Statistics, Central University of Rajasthan, Bandersindri, Ajmer, India

    Vikas Kumar Sharma & Khair Ul-Farhat

  3. Department of Statistics and DST-CIMS, Banaras Hindu University, Varanasi, India

    Sanjay Kumar Singh & Umesh Singh

Authors
  1. Vikas Kumar Sharma
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  2. Sanjay Kumar Singh
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  3. Umesh Singh
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  4. Khair Ul-Farhat
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Correspondence to Vikas Kumar Sharma.

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Sharma, V.K., Singh, S.K., Singh, U. et al. Bayesian estimation on interval censored Lindley distribution using Lindley’s approximation. Int J Syst Assur Eng Manag 8 (Suppl 2), 799–810 (2017). https://doi.org/10.1007/s13198-016-0528-x

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  • DOI: https://doi.org/10.1007/s13198-016-0528-x

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