TABLE OF CONTENTS The objectives of this chapter are to present the following:
The five important and basic analytical functions in reliability engineering: (1) the probability density, (2) the failure rate, (3) the reliability, (4) the conditional reliability, and (5) the mean life functions.
The nature of a distribution in terms of the data involved in reliability engineering, their conversion to a variety of distributions and probability density functions, their descriptive values and moments, the various expectations the moment-generation function, their fractiles and percentage points, and their parameters.
The definition and calculation of the average and instantaneous failure rate, and the construction of the reliability "bathtub" curve.
The estimation of the reliability; its relationship to the relative cumulative frequency, the probability density, the cumulative distribution and the failure rate function; and the determination of the exact nonconditional and conditional reliabilities.
The mean life determination of any unit.
Five of the most important functions in reliability engineering are the following: (1) the failure probability density function, (2) the failure rate function, (3) the reliability function, (4) the conditional reliability function, (5) the mean life function. Given these functions, most reliability engineering problems may be solved.
The failure probability density function enables the determination of the number of failures occurring over a period of time referred to the original, total population. The failure rate function enables the determination of the number of failures occuring per unit time referred to the size of the population...
