A Bivariate Pareto Distribution for Modeling Load Sharing Dependence

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Relability Modeling

ISBN: 3847344307
ISBN 13: 9783847344308
Autor: K M, Jagathnath Krishna
Verlag: LAP Lambert Academic Publishing
Umfang: 176 S.
Erscheinungsdatum: 03.02.2017
Auflage: 1/2017
Format: 1.2 x 22 x 15
Gewicht: 280 g
Produktform: Kartoniert
Einband: KT

Beschreibung

Usually in statistical modeling, one comes up with a model taking into consideration the physical aspects of the situation. In the present study we considered load sharing dependence in a two component parallel system. Though load sharing dependence is popular in reliability studies this dependence is common in socio-economic situations also. Freund (1961) has designed a bivariate exponential model for the life testing of a two component parallel system which incorporates the above said load-sharing dependence. If the operating environment affects both the components differently, then assuming a gamma distribution to model the environment, the above system reduces to assuming two independent Pareto II distributions instead of exponential distribution. Taking into consideration these assumptions we develop a new model which incorporates the load sharing dependence. This model finds application in the areas of survival analysis, reliability analysis and economics.

Autorenporträt

Dr. Jagathnath Krishna K.M. has obtained his Ph.D Degree in Statistics from Cochin University of Science and Technology, Cochin, Kerala, India on 2011. He has obtained his B.Sc and M.Sc Degree also in Statistics from University of Kerala, Thiruvananthapuram. He has several publications to his credit in various National and International Journals.

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