On Two-sided Length Biased Inverse Gaussian Distribution

On Two-sided Length Biased Inverse Gaussian Distribution

The new lifetime distribution based on the non-classical parametrization model called the two-sided length biased inverse Gaussian distribution is introduced. The physical phenomena of this situation can be explained in the case when a crack develops from two sides. Some statistical properties of th...

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Main Authors: Teerawat Simmachan, Kamon Budsaba, Andrei Volodin
Format: บทความวารสาร
Language:English
Published: Science Faculty of Chiang Mai University 2019
Online Access:http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=9673
http://cmuir.cmu.ac.th/jspui/handle/6653943832/64249
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Institution: Chiang Mai University
Language: English
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spelling th-cmuir.6653943832-642492019-05-07T09:59:54Z On Two-sided Length Biased Inverse Gaussian Distribution Teerawat Simmachan Kamon Budsaba Andrei Volodin The new lifetime distribution based on the non-classical parametrization model called the two-sided length biased inverse Gaussian distribution is introduced. The physical phenomena of this situation can be explained in the case when a crack develops from two sides. Some statistical properties of the distribution such as reciprocal properties and the first four moments are investigated. The conventional point estimation, method of moment, is developed to estimate the parameters of the distribution together with asymptotic analysis of the proposed estimators. In order to evaluate the performance of the suggested estimators, Monte Carlo simulation studies are conducted. Furthermore, real data sets in a practical setting are used to illustrate the presented estimation method. Concluding remarks and discussions are also provided. 2019-05-07T09:59:54Z 2019-05-07T09:59:54Z 2018 บทความวารสาร 0125-2526 http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=9673 http://cmuir.cmu.ac.th/jspui/handle/6653943832/64249 Eng Science Faculty of Chiang Mai University
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description The new lifetime distribution based on the non-classical parametrization model called the two-sided length biased inverse Gaussian distribution is introduced. The physical phenomena of this situation can be explained in the case when a crack develops from two sides. Some statistical properties of the distribution such as reciprocal properties and the first four moments are investigated. The conventional point estimation, method of moment, is developed to estimate the parameters of the distribution together with asymptotic analysis of the proposed estimators. In order to evaluate the performance of the suggested estimators, Monte Carlo simulation studies are conducted. Furthermore, real data sets in a practical setting are used to illustrate the presented estimation method. Concluding remarks and discussions are also provided.
format บทความวารสาร
author Teerawat Simmachan
Kamon Budsaba
Andrei Volodin
spellingShingle Teerawat Simmachan
Kamon Budsaba
Andrei Volodin
On Two-sided Length Biased Inverse Gaussian Distribution
author_facet Teerawat Simmachan
Kamon Budsaba
Andrei Volodin
author_sort Teerawat Simmachan
title On Two-sided Length Biased Inverse Gaussian Distribution
title_short On Two-sided Length Biased Inverse Gaussian Distribution
title_full On Two-sided Length Biased Inverse Gaussian Distribution
title_fullStr On Two-sided Length Biased Inverse Gaussian Distribution
title_full_unstemmed On Two-sided Length Biased Inverse Gaussian Distribution
title_sort on two-sided length biased inverse gaussian distribution
publisher Science Faculty of Chiang Mai University
publishDate 2019
url http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=9673
http://cmuir.cmu.ac.th/jspui/handle/6653943832/64249
_version_ 1681426046542413824

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