If X is a Poisson random variable with mean show that for I've tried all the inequalities, but I keep getting stuck. Any push in the right direction would be greatly appreciated.
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Originally Posted by Anonymous1 If X is a Poisson random variable with mean show that for I've tried all the inequalities, but I keep getting stuck. Any push in the right direction would be greatly appreciated. Since , the desired inequality is equivalent to . To that end, note that ...(truncating) ... since and and we are done.
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