Abstract

Statistics are used to analyze quantities such as failure rates and proportion of failed components to the total number of components. Statistics are also an essential tool in calculating probabilities of failures. Mathematically, probability can be expressed in three ways, all of which in practice mean the same thing. It is obvious that the more parts there are in any machine or equipment, the more risk there is of any one failing. This chapter discusses the product law of reliability and familiarizes the reader with the language of reliability statisticians. Exponential, Normal or Gaussian, Poisson, Gamma and Weibull distributions are commonly used in estimating reliability. The chapter elucidates the calculation of mean time between failures (MTBF).

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