Statistical analysis of redundant systems with "warm" stand-by units
V. Bagdonavi\v{c}ius, I. Masiulaityt\.e, M. Nikulin
TL;DR
This paper develops a mathematical framework for analyzing redundant systems with 'warm' stand-by units, introducing estimators and goodness-of-fit tests for system reliability modeling.
Contribution
It presents non-parametric estimators and goodness-of-fit tests for systems with 'warm' stand-by units using Sedyakin's and AFT models, advancing reliability analysis methods.
Findings
Proposed non-parametric estimators for system failure distribution
Developed goodness-of-fit tests for reliability models
Applied models to systems with multiple stand-by units
Abstract
Mathematical formulation of fluent switching from "warm" to "hot" conditions of standby units is given using the well known Sedyakin's and accelerated failure time (AFT) models. Non-parametric estimators of cumulative distribution function and mean failure time of a redundant system with several stand-by units are proposed. Goodness-of-fit tests for two given models are given.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Reliability and Maintenance Optimization · Bayesian Methods and Mixture Models