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EvLer
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How do I approach finding variance of sample mean of Poisson distribution?
thanks.
thanks.
EvLer said:How do I approach finding variance of sample mean of Poisson distribution?
thanks.
The formula for finding the variance of the sample mean of a Poisson distribution is Var(X̄) = λ/n, where λ is the mean of the Poisson distribution and n is the sample size.
The sample mean of a Poisson distribution is calculated from a subset of the population, while the population mean is calculated from the entire population. The sample mean is a random variable, while the population mean is a fixed value.
No, the sample mean of a Poisson distribution cannot be negative. This is because the Poisson distribution is bounded at zero and has a positive skew, so the sample mean will always be a positive value.
As the sample size increases, the variance of the sample mean decreases. This is because a larger sample size provides more accurate estimates of the population mean, resulting in a smaller spread of sample means around the population mean.
Yes, the variance of the sample mean of a Poisson distribution can be larger than the population mean. This is possible when the sample size is small and there is a large amount of variability in the population. As the sample size increases, the variance of the sample mean will approach the population mean.