Gamma Distribution Calculator

Gamma distribution is a continous probability function used in statistics to analyze the reliability of products or services. It's relies on gamma function, often represented by the Greek symbol Γ. It's used in statistics and probability to characterize the event of nth failure arrival over a period of time. The Gamma function generalizes the idea of factorial. An exponential distribution is the special case of gamma distribution while the shape parameter α = 1. In this calculation, the term P(x) represents the probability of random variable, mean (μ) represents the average time between the event of failures among the group of data.

Formula

The below formula is mathematical representation for probability density function (pdf) of Gamma distribution may help users to know what are all the input parameters are being used in such calculations to characterize the data distribution. Users may use these below gamma distribution formulas for manual calculations and use this calculator to verify the results of manual calculations or generate complete work with steps.