The Exponential Distribution

The exponential distribution is a commonly used distribution in reliability engineering. Mathematically, it is a fairly simple distribution, which many times leads to its use in inappropriate situations. It is, in fact, a special case of the Weibull distribution where . The exponential distribution is used to model the behavior of units that have a constant failure rate (or units that do not degrade with time or wear out).

This chapter is made up of the following sections:

• Exponential Probability Density Function
  

• Exponential Statistical Properties
  

• Characteristics of the Exponential Distribution
  

• Estimation of the Exponential Parameters
  

• Confidence Bounds for the Exponential Distribution
  

• Bayesian Confidence Bounds for the Exponential Distribution
  

• General Examples Using the Exponential Distribution

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