Is there a general expression for the pdf of the sum of the order statistics? Suppose they are all drawn independently from the same distribution.
2026-03-28 05:21:54.1774675314
Sum of order statistics
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Hint: The sum of order statistics of $n$ random variables is equal to the sum of the $n$ random variables. So if the random variables are independent, the distribution of $n$ random variables is given by convolution of the pdf's of these random variables. You might want to check this out and some articles on how to find the pdf of sum of two independent random variables.