Statistical Inference in Dependent Component Hybrid Systems with Masked Data
Author(s) -
Naijun Sha,
Ronghua Wang,
PingAn Hu,
Xiaoling Xu
Publication year - 2015
Publication title -
advances in statistics
Language(s) - English
Resource type - Journals
eISSN - 2356-6892
pISSN - 2314-8314
DOI - 10.1155/2015/525136
Subject(s) - statistical inference , bivariate analysis , component (thermodynamics) , inference , series (stratigraphy) , computer science , simple (philosophy) , algorithm , hybrid system , exponential function , statistical model , fiducial inference , exponential family , mathematics , statistics , artificial intelligence , frequentist inference , machine learning , bayesian inference , bayesian probability , paleontology , mathematical analysis , philosophy , physics , epistemology , biology , thermodynamics
Complex systems are usually composed of simple hybrid systems. In this paper,we consider statistical inference for two fundamental hybrid systems: series-paralleland parallel-series systems based on masked data. Assuming dependent lifetimes ofcomponents modelled by Marshall and Olkin’s bivariate exponential distribution inthe system, we present maximum likelihood and interval estimation of parameters ofinterest. Intensive simulation studies are performed to demonstrate the efficiency ofthe methods
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