Next Article in Journal
From the Jordan Product to Riemannian Geometries on Classical and Quantum States
Previous Article in Journal
Review and Modification of Entropy Modeling for Steric Effects in the Poisson-Boltzmann Equation
Open AccessArticle

E-Bayesian Estimation of Chen Distribution Based on Type-I Censoring Scheme

1
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudia Arabia
2
Department of Statistical Science, Southern Methodist University, Dallas, TX 75275-0332, USA
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(6), 636; https://doi.org/10.3390/e22060636
Received: 7 May 2020 / Revised: 29 May 2020 / Accepted: 4 June 2020 / Published: 8 June 2020
In this paper, E-Bayesian estimation of the scale parameter, reliability and hazard rate functions of Chen distribution are considered when a sample is obtained from a type-I censoring scheme. The E-Bayesian estimators are obtained based on the balanced squared error loss function and using the gamma distribution as a conjugate prior for the unknown scale parameter. Also, the E-Bayesian estimators are derived using three different distributions for the hyper-parameters. Some properties of E-Bayesian estimators based on balanced squared error loss function are discussed. A simulation study is performed to compare the efficiencies of different estimators in terms of minimum mean squared errors. Finally, a real data set is analyzed to illustrate the applicability of the proposed estimators. View Full-Text
Keywords: E-Bayes estimation; Bayes estimation; Chen distribution; type-I censoring scheme; balanced loss function E-Bayes estimation; Bayes estimation; Chen distribution; type-I censoring scheme; balanced loss function
MDPI and ACS Style

Algarni, A.; Almarashi, A.M.; Okasha, H.; Ng, H.K.T. E-Bayesian Estimation of Chen Distribution Based on Type-I Censoring Scheme. Entropy 2020, 22, 636.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop