Estimating the shape parameter of the Topp–Leone distribution based on Type I censored samples
Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 219-230
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
shape parameter topp leone distribution estimated classical bayesian points view based type censored samples maximum likelihood approximate maximum likelihood estimates derived bayes estimate associated credible interval approximated using lindleys approximation markov chain monte carlo using importance sampling technique monte carlo simulations performed compare performances proposed methods real simulated sets have analyzed illustrative purposes
Affiliations des auteurs :
Husam Awni Bayoud 1
@article{10_4064_am42_2_8,
author = {Husam Awni Bayoud},
title = {Estimating the shape parameter of the {Topp{\textendash}Leone} distribution based on {Type} {I} censored samples},
journal = {Applicationes Mathematicae},
pages = {219--230},
year = {2015},
volume = {42},
number = {2-3},
doi = {10.4064/am42-2-8},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am42-2-8/}
}
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 SP - 219 EP - 230 VL - 42 IS - 2-3 UR - http://geodesic.mathdoc.fr/articles/10.4064/am42-2-8/ DO - 10.4064/am42-2-8 LA - en ID - 10_4064_am42_2_8 ER -
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Husam Awni Bayoud. Estimating the shape parameter of the Topp–Leone distribution based on Type I censored samples. Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 219-230. doi: 10.4064/am42-2-8
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