Estimation parameters of Lindley distribution under type II progressive censoring with the presence of outlier data

Document Type : Original Scientific Paper

Authors

Department of Statistics‎, ‎Payam Noor University‎, ‎Tehran‎, ‎Iran

Abstract

Lindley distribution is one of the most important statistical distributions that is widely used in various fields including biology‎, ‎engineering‎, ‎and medicine‎. ‎This distribution has worked well in modeling mortality studies‎, ‎and this distribution can be used for statistical modeling of plant roots density‎. ‎Recently‎, ‎a number of researchers have shown that statistical distributions can be used to model or investigate the number of plant roots‎. ‎One of the most important of these is the Lindley distribution‎, ‎which can be used to investigate modeling data in the presence of outliers that have a Lindley or uniform distribution‎. ‎In this article‎, ‎we present the Lindley distribution under type II progressive censoring with the presence of outlier data‎, ‎and its parameters are estimated using maximum likelihood and Bayesian methods‎. ‎In the following‎, ‎by applying Gibbs sampling and performing simulation‎, ‎the estimators are compared with each other using the mean squared error.

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References


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Journal of Statistical Modelling: Theory and Applications
Volume 5, Issue 2
July 2024
Pages 121-135

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History

  • Receive Date: 09 December 2024
  • Revise Date: 10 February 2025
  • Accept Date: 18 February 2025

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