Let $X_1 , ..., X_n$ be independent and identically distributed continuous random variables and set and
$M=max\{k: X_{i_1} < X_{i_2} < ... < X_{i_k} , \ 1 \leq i_1 \leq i_2 \leq ... \leq i_k \leq n\}$ how I can compute $E(M)$?
Let $X_1 , ..., X_n$ be independent and identically distributed continuous random variables and set and
$M=max\{k: X_{i_1} < X_{i_2} < ... < X_{i_k} , \ 1 \leq i_1 \leq i_2 \leq ... \leq i_k \leq n\}$ how I can compute $E(M)$?
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