Statistical analysis of redundant systems with ‘warm’ 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 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.

Keywords:

• AFT model
• χ² goodness-of-fit
• non-parametric estimation
• reliability
• redundant system
• Sedyakin model

AMS Subject Classification:

• 60K10
• 62G05
• 62G10
• 62G20
• 62G30