Exponential  Distribution - Parameter Estimation

Techniques

Cumulative Distribution Function

Cumulative Hazard Function

Weibull Distribution

Normal Distribution

Lognormal Distribution

Exam

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The exponential probability density function is

where q is the mean.

Three popular methods for parameter estimation for the exponential distribution are are

• maximum likelihood estimation,
• hazard plotting, and
• probability plotting.

After distribution parameters have been estimated, reliability estimations and predictions are used for evaluations.  The maximum likelihood estimation section explains how this can be done manually, but because of the complexity of the calculations, manual methods are not recommended.  The predicting module explains how to estimate reliability using The Reliability and Maintenance Analyst software package.