Question

Estimate the mean and variance of a Poisson random variable whose mean is 7.2 by simulating...

Estimate the mean and variance of a Poisson random variable whose mean is 7.2

by simulating 10000 Poisson pseudorandom numbers. Compare with the

theoretical values.

Please include R-code

Math   Statistics-And-Probability   
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Answer #1

R-code Input:

R-code output:

Here we get,

Theoretical mean=7.2

Theoretical variance=7.2

Sample mean=7.2212

Sample variance=7.180271

Both sample and theoretical values are nearly equal

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