Statement: Additive property of Poisson distribution states that sum of independent Poisson variates is also a Poisson variate. i.e., If X1,X,,.., X, are n independent Poisson variates with parameters 4,2.. , respectively, then EX, is also a Poisson variate with parameter E 1,: i=1 i=)
Statement: Additive property of Poisson distribution states that sum of independent Poisson variates is also a Poisson variate. i.e., If X1,X,,.., X, are n independent Poisson variates with parameters 4,2.. , respectively, then EX, is also a Poisson variate with parameter E 1,: i=1 i=)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Prove the statement

Transcribed Image Text:Statement: Additive property of Poisson distribution states
that sum of independent Poisson variates is also a Poisson
variate.
i.e., If X1,X, ., X, are n independent Poisson
variates with parameters 4,2 ., respectively, then
*יי 2
EX, is also a Poisson variate with parameter E A,:
i=1
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