silloncito

3 ms·

1. 1.▲
   by silloncito 1y ago

   Perhaps your txr submission suggests a lisp flavor. The intrinsic dimension concept looks interesting, also the V.C. dimension, but both concepts are very general. Perhaps Lehmann's book is: Elements of large sample theory.
2. 2.▲
   by silloncito 1y ago

   You should be careful with your estimation. The events should be independent to apply those properties but it is very common that one cause can influence many factors, so they are not independent and all the beauty math does not work as wit
3. 3.▲
   by silloncito 1y ago

   Thank you for your welcome, I must have been lurking here for around 30 years or more (always changing accounts). Anyway in this specific case, since M = Max(X,X) = X you can't have F(M) = F(X)*F(X) = F(X) except when F(X) in {0,1}, so
4. 4.▲
   by silloncito 1y ago

   $Let M=Max(X,Y)$. If $X$ and $Y$ are independent then: $F_M(k) = P(M \leq K) = P((X \leq K) and (Y \leq K))$, so that $P(X \leq K) x P(Y \leq K) = F_X(K) x F_Y(K)$. So $F_M = F_X \times F_Y$