Continuing interest in the subject of reliability and the heretofore unavailability of our book
Mathematical Theory of Reliability have encouraged publication of this SIAM Classics edition. …

In this paper, we relate properties of a distribution function F (or its density f) to properties of
the corresponding hazard rate q defined for $F(x) < 1$ by q(x) = f(x)/[ 1 - F(x)]. It is shown, eg, …

Two types of preventive maintenance policies are considered. A policy is defined to be
optimum if it maximizes “limiting efficiency,” ie, fractional amount of up-time over long intervals. …

The theory of binary coherent systems is generalized for multi-state components. The
system state is defined to be the state of the “worst” component in the “best” min path, or …

Computerized axial tomography permits accurate cross-sectional radiographic visualization
of visceral organs. Thus, "radiographic area" of an organ slice can be calculated and …

PROSCHANt 1. introduction and summary. The problem of checking or inspection often
arises in connection with systems whichare deteriorating. We shall assume deterioration is …

[en] This paper describes a new method for analyzing data. The method applies to non-negative
observations such as times to failure of devices and survival times of biological …

A new measure of the importance of the components in a coherent system and of the basic
events in a fault tree is defined and its properties derived. The importance measure is a …

The isotonic regression problem is to minimize Σ t i = 1 [g i − x i ] 2 wi subject to x i ≤ x j when
where w i >0 and g i (i= 1, 2, …, k) are given and is a specified partial ordering on {1, 2, …, k…

We present a brief survey of the current state of the art in network reliability. We survey only
exact methods and do not consider Monte Carlo methods. Most network reliability problems …