Results 251 to 260 of about 2,268,235 (274)

Bondesson's functions in reliability theory

Applied Stochastic Models in Business and Industry, 1999
It was shown by \textit{L. Bondesson} [Nav. Res. Logist. Q. 30, 443-447 (1983; Zbl 0525.62021)]\ that several standard reliability classes (MRL, IFR, \(\text{PF}_{2}\)) can be generated by an interesting class of functions. A reliability class could be defined for each positive real number although Bondesson gave no easy interpretation of them.
Ronald Dattero, William E. Stein
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Correlation Functions in Reliability Theory [PDF]

, 1991
The multivariate point process induced by the stochastic behaviour of a two-unit warm standby redundant repairable system is studied. Expressions for the product densities of the events corresponding to the entry into each of the states and the interval reliability are obtained. The reliability and availability are deduced as special cases.
Subramanian, R., Ravichandran, N.
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Differentiation of Reliability Functions [PDF]

, 1996
One of the main tools in reliability analysis of stochastic technical systems [4],[7],[10] are probability functions of the type. $$ {\rm P}\left( {\rm x} \right)\,:\, = \,{\rm P}\left( {{\rm y}_{\ell {\rm i}} \, < \,{\rm y}_{\rm i} \,\left( {{\rm a}\left( \omega \right)\,,\,{\rm x}} \right)\, < \,{\rm y}_{{\rm ui}} \,,\,{\rm l} \le {\rm i} \le {\rm
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Bounds for the system reliability function [PDF]

Communications in Statistics. Stochastic Models, 1986
Consider a coherent system consisting of n independent components. The system can be in any of the two states: ''up'' and ''down''. Each component also can be in any of the two states ''up'' and ''down''. A deterministic function \(\phi\) describes the state of the system as a function of the states of the components.
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Pooling reliability functions

Journal of Statistical Computation and Simulation, 1994
In this article large sample pooling procedures for reliability functions of an exponential life testing model is considered. Asymptotic properties of shrinkage estimation procedure subsequent to preliminary tests are developed. It is shown that the proposed estimator possesses substantially snakker asymptotic mean squared error than the usual ...
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Information Functions for Reliability

2004
This chapter presents the information theoretic framework for reliability analysis in which modeling, diagnostics, and inference are developed in a unified manner. The whole range of available information functions for reliability analysis are discussed.
Ehsan S. Soofi, Nader Ebrahimi
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Assessment of Reliability Function

1984
In the previous section, the reliability of a system was expressed in precise probabilistic terms. However, no indication was given on how to find the appropriate reliability function for a real component or system. There are two different approaches to this problem.
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System Reliability as a Function of Component Reliability

2005
In reliability theory, as in any theory, we think and operate in terms of models. In this chapter we investigate a model of a system,which consists of elements or components. Our purpose is to develop a formal instrument to enable us to receive information about a system’s reliability from information about the reliability of its components.
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Reliability importance for continuum structure functions

Journal of Applied Probability, 1987
A continuum structure function is a non-decreasing mapping from the unit hypercube to the unit interval. A definition of the reliability importance, ℛi(α) say, of component i at system level α(0 &lt; α ≦ 1) is proposed. Some properties of this function are deduced, in particular conditions under which and conditions under which ℛi(α) is positive ...
Chul Kim, Laurence A. Baxter
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Basic Reliability Functions

2019
Problem of aging affects many of systems and their components. This phenomenon have been widely studied in the field of reliability theory. Properties of random lifetimes are usually described by means of their respective distribution, survival and failure rate (hazard rate) functions.
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