Statistical analysis of some reliability models: Parametrics, semi-parametrics and nonparametrics

An useful survey and unified treatment of the following four statistical reliability problems are considered: (i) bundle strength of filaments, (ii) k-component system — in series, (iii) k-component system — in parallel, and (iv) system availability under spare and repair. Along with the usual param...

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Bibliographic Details
Published in:Journal of statistical planning and inference Vol. 43; no. 1; pp. 41 - 66
Main Author: Sen, Pranab Kumar
Format: Journal Article Conference Proceeding
Language:English
Published: Lausanne Elsevier B.V 1995
New York,NY Elsevier Science
Amsterdam
Subjects:
62G99
62N05
Applications
Biology, psychology, social sciences
Bootstrapping
Bundle strength of filaments
Components in parallel
Components in series
Delta method
Exact sciences and technology
Extrema of sample functions
Failure (hazard) rate
Insurance, economics, finance
Jackknifing
Mathematics
Medical sciences
Probability and statistics
Proportional hazard model
Reliability, life testing, quality control
Sciences and techniques of general use
Statistics
Systems availability
Bootstrapping
Extrema of sample functions
62N05
Jackknifing
Failure (hazard) rate
Systems availability
62G99
Components in parallel
Components in series
Bundle strength of filaments
Delta method
Proportional hazard model
Parameter estimation
Cox model
Extreme value
Bootstrap
Non parametric estimation
Reliability
Failure rate
Semiparametric model
ISSN:0378-3758, 1873-1171
Online Access:Get full text
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Summary:An useful survey and unified treatment of the following four statistical reliability problems are considered: (i) bundle strength of filaments, (ii) k-component system — in series, (iii) k-component system — in parallel, and (iv) system availability under spare and repair. Along with the usual parametric solutions, some nonparametric and semi-parametric formulations are presented, and the role of some resampling plans in this context is discussed briefly.
ISSN:0378-3758
1873-1171
DOI:10.1016/0378-3758(94)00007-I