Estimation of the Generalized Logarithmic Transformation Exponential Distribution under Progressively Type-II Censored Data with Application to the COVID-19 Mortality Rates

Olayan Albalawi, Naresh Chandra Kabdwal, Qazi J. Azhad, Rashi Hora and Basim S. O. Alsaedi
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Olayan Albalawi: Department of Statistics, Faculty of Science, University of Tabuk, Tabuk 47512, Saudi Arabia
Naresh Chandra Kabdwal: Department of Mathematics and Statistics, Banasthali Vidyapith, Vanasthali 304022, Rajasthan, India
Qazi J. Azhad: Department of Mathematics and Statistics, Banasthali Vidyapith, Vanasthali 304022, Rajasthan, India
Rashi Hora: Department of Mathematics and Statistics, Banasthali Vidyapith, Vanasthali 304022, Rajasthan, India
Basim S. O. Alsaedi: Department of Statistics, Faculty of Science, University of Tabuk, Tabuk 47512, Saudi Arabia

Mathematics, 2022, vol. 10, issue 7, 1-19

Abstract: In this paper, classical and Bayesian estimation for the parameters and the reliability function for the generalized logarithmic transformation exponential (GLTE) distribution has been proposed when the life-times are progressively censored. The maximum likelihood estimator of unknown parameters and their corresponding reliability function are obtained under the classical setup. The Bayes estimators are obtained for symmetric (squared error) and asymmetric (LINEX and general entropy) loss functions. This was achieved by considering discrete prior for the scale parameter and conditional gamma prior for the shape parameter. Interval estimation of the unknown parameters and reliability function for classical and Bayesian schemes is also considered. The performances of various derived estimators are recorded using simulation study for different sample sizes and progressive censoring schemes. Finally, the COVID-19 mortality data sets are provided to illustrate the computation of various estimators.

Keywords: GLTE distribution; progressive type-II censoring; Bayesian estimation; maximum likelihood estimation; highest posterior density intervals; COVID-19 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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