Exponential Distribution

The exponential distribution is the most widely used statistical distribution, which explains the general failure distribution of a system during its normal operating life period, when the failure occurs at random. Exponentially distributed items to failure are characterized by constant failure rate.

The PDF for the exponential distribution is mathematically expressed as

                             F (t) =λ e^-λt, t ≥ 0                          

Where λ is the constant failure rate and't' is the time.

The exponential cumulative distribution function is following:

                             F (t) = 1 - e^-λt                         

The exponential reliability function is:

                            R (t) = e^-λt