Open AccessEXTENDED HOMOGENEOUS PROCESSES AND BAYES ESTIMATION OF RELIABILITY FUNCTIONS
Author(s) -
L. PARDO,
Diego P. Morales,
Vicente Quesada
Publication year - 1991
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.22.1991.4607
Subject(s) - estimator , mathematics , bayes' theorem , reliability (semiconductor) , nonparametric statistics , context (archaeology) , parametric statistics , homogeneous , function (biology) , estimation , sample (material) , bayesian probability , hazard , mathematical optimization , statistics , combinatorics , engineering , systems engineering , paleontology , power (physics) , physics , chemistry , organic chemistry , chromatography , quantum mechanics , evolutionary biology , biology
The problem of estimation a reliability function is established in the Bayesian nonparametric context; however parametric techniques are used. Extended homogeneous prncesses are defined whose sample paths may be assumed to be increasing hazard rates by properly choosing the parameter functions of the processes. Estimators are obtained in the mentioned processes and their asymptotic properties are studied. An application for simulated dada is given.