• is the value of the distribution.
• and are the value of the parameters.
• is the logical value like true or false.
• gives accurate value of the solution.
• GAMMADIST(), returns the gamma distribution.

## Description

• This function gives the value of the Gamma Distribution.
• The Gamma Distribution can be used in a queuing models like, the amount of rainfall accumulated in a reservoir.
• This distribution is the Continuous Probability Distribution with two parameters and .
• In , is the value of the distribution, is called shape parameter and is the rate parameter of the distribution and is the logical value like TRUE or FALSE.
• If is TRUE, then this function gives the Cumulative Distribution value and if is FALSE then it gives the Probability Density Function.
• gives accurate value of the solution.
• The gamma function is defined by :

.

• It is for all complex numbers except the negative integers and zero.
• The Probability Density Function of Gamma function using Shape, rate parameters is:

, for

, where is the natural number(e = 2.71828...), is the number of occurrences of an event, and is the Gamma function.
• The Standard Gamma Probability Density function is:

.

• The Cumulative Distribution Function of Gamma is :

, or

for any positive integer .
• When alpha is a positive integer, then the distribution is called Erlang distribution.
• If the shape parameter is held fixed, the resulting one-parameter family of distributions is a natural exponential family.
• For a positive integer , when , , and , GAMMADIST returns (1 - CHIDIST(x)) with degrees of freedom.
• This function shows the result as error when
1.Any one of the argument is non numeric
2.,  or .


## ZOS

• The syntax is to calculate GAMMADIST in ZOS is .
• is the value of the distribution,
• and are the value of the parameters
• is the logical value like true or false.
• gives accurate value of the solution.

Gamma Distribution