Statement: The sum of n independent Gammä variates is also a Gamma variate. i.e., If x„X,....., X, are n independent Gamma variates with parameters a,, 2;.,.a, respectively then (x, +X, +. +X,) is also a Gamma variate with parameter (2, +1, +...+ ,). .... ......

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 17E
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Prove the statement

Statement: The sum of n independent Gamma variates is also
a Gamma variate.
i.e., If x,,X,., X, are n independent Gamma variates with
parameters 2,2,;.., respectively then (x, +X, +. +X,) is
also a Gamma variate with parameter (2, +z +......+ 2, ) .
....
Transcribed Image Text:Statement: The sum of n independent Gamma variates is also a Gamma variate. i.e., If x,,X,., X, are n independent Gamma variates with parameters 2,2,;.., respectively then (x, +X, +. +X,) is also a Gamma variate with parameter (2, +z +......+ 2, ) . ....
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