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
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Prove the statement

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
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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