Estimating the shape parameter of the Topp-Leone distribution based on Type I censored samples

Husam Awni Bayoud

Applicationes Mathematicae (2015)

  • Volume: 42, Issue: 2-3, page 219-230
  • ISSN: 1233-7234

Abstract

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The shape parameter of the Topp-Leone distribution is estimated from classical and Bayesian points of view based on Type I censored samples. The maximum likelihood and the approximate maximum likelihood estimates are derived. The Bayes estimate and the associated credible interval are approximated by using Lindley's approximation and Markov Chain Monte Carlo using the importance sampling technique. Monte Carlo simulations are performed to compare the performances of the proposed methods. Real and simulated data sets have been analyzed for illustrative purposes.

How to cite

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Husam Awni Bayoud. "Estimating the shape parameter of the Topp-Leone distribution based on Type I censored samples." Applicationes Mathematicae 42.2-3 (2015): 219-230. <http://eudml.org/doc/280079>.

@article{HusamAwniBayoud2015,
abstract = {The shape parameter of the Topp-Leone distribution is estimated from classical and Bayesian points of view based on Type I censored samples. The maximum likelihood and the approximate maximum likelihood estimates are derived. The Bayes estimate and the associated credible interval are approximated by using Lindley's approximation and Markov Chain Monte Carlo using the importance sampling technique. Monte Carlo simulations are performed to compare the performances of the proposed methods. Real and simulated data sets have been analyzed for illustrative purposes.},
author = {Husam Awni Bayoud},
journal = {Applicationes Mathematicae},
keywords = {Bayes estimate; credible interval; Lindley's approximation; maximum likelihood estimate; Markov chain Monte Carlo},
language = {eng},
number = {2-3},
pages = {219-230},
title = {Estimating the shape parameter of the Topp-Leone distribution based on Type I censored samples},
url = {http://eudml.org/doc/280079},
volume = {42},
year = {2015},
}

TY - JOUR
AU - Husam Awni Bayoud
TI - Estimating the shape parameter of the Topp-Leone distribution based on Type I censored samples
JO - Applicationes Mathematicae
PY - 2015
VL - 42
IS - 2-3
SP - 219
EP - 230
AB - The shape parameter of the Topp-Leone distribution is estimated from classical and Bayesian points of view based on Type I censored samples. The maximum likelihood and the approximate maximum likelihood estimates are derived. The Bayes estimate and the associated credible interval are approximated by using Lindley's approximation and Markov Chain Monte Carlo using the importance sampling technique. Monte Carlo simulations are performed to compare the performances of the proposed methods. Real and simulated data sets have been analyzed for illustrative purposes.
LA - eng
KW - Bayes estimate; credible interval; Lindley's approximation; maximum likelihood estimate; Markov chain Monte Carlo
UR - http://eudml.org/doc/280079
ER -

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