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The stress-strength model and its generalizations : theory and applications

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TLDR
A survey of applications theory and general estimation procedures for stress strength models can be found in this paper, along with examples and details on applications and their application in the context of point estimation and statistical inference.
Abstract
Stress-strength models - history, mathematical tools and survey of applications theory and general estimation procedures parametric point estimation parametric statistical inference nonparametric methods special cases and generalizations examples and details on applications

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Journal ArticleDOI

Reliability and maintenance modeling for systems subjected to multiple dependent competing failure precesses

TL;DR: In this article, a general reliability model is developed based on degradation and random shock modeling, which is then extended to a specific model for a linear degradation path and normally distributed shock load sizes and damage sizes.
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Generalized exponential distribution: Existing results and some recent developments

TL;DR: In this paper, the authors proposed a generalized exponential distribution for analyzing bathtub failure data, which has a right skewed unimodal density function and monotone hazard function similar to the density functions and hazard functions of the gamma and Weibull distributions.
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Estimation of P[Y<X] for Weibull distributions

TL;DR: The asymptotic distribution of the maximum likelihood estimator of R is obtained and the confidence interval of R can be obtained, and two bootstrap confidence intervals are proposed.
Journal ArticleDOI

Inferences on Stress-Strength Reliability from Lindley Distributions

TL;DR: In this article, the estimation of the stress-strength parameter R = P(Y < X) when X and Y are independent Lindley random variables with different shape parameters is dealt with.
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Normal-Based methods for a Gamma Distribution. Prediction and Tolerance Intervals and Stress-Strength Reliability.

TL;DR: The overall conclusion is that the WH normal approximation provides a simple, easy-to-use unified approach for addressing various problems for the gamma distribution.
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