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 Apr 22 comment The functional equation and differentiability @kmitov also $f(0)=1$ is possible Apr 22 answered Solve for $\alpha$: $P = \frac{1}{\sigma}\displaystyle\int_{0}^{\alpha} \exp (\frac{ -2 x^{\beta}}{\sigma} ) dx$ Apr 22 comment compute probability density function of a bivariate function without sampling @kensaii indeed this is a convolution. If you cannot solve for one in terms of the other, this is not really usable. Apr 22 answered compute probability density function of a bivariate function without sampling Apr 21 comment compute probability density function of a bivariate function without sampling why not condition on $X_2$? Apr 21 comment compute probability density function of a bivariate function without sampling what do you know of the relationship between $X_1,X_2$? E.g. if they are independent, $g(x_1, x_2) = f_{X_1}(x_1) \times f_{X_2}(x_2)$... Apr 21 revised Let $(X, Y )$ be a random pair with the density $f(x,y) = c(y-x)^2, 0 0$. added 52 characters in body Apr 20 comment Let $(X, Y )$ be a random pair with the density $f(x,y) = c(y-x)^2, 0 0$. @Slae no :) the upper limit should be constant, otherwise your integral ends up as a function of $y$. Why don't you draw the region to figure out which value to pick? Apr 20 answered Let $(X, Y )$ be a random pair with the density $f(x,y) = c(y-x)^2, 0 0$. Apr 20 revised Kernel and Image of a map added 160 characters in body; edited title Apr 20 reviewed Approve Looking for a Function With Certain Characteristics Apr 15 comment Optimization question related to calculus. @almagest sorry fixed Apr 15 revised Optimization question related to calculus. edited body Apr 15 answered Optimization question related to calculus. Apr 15 revised Optimization question related to calculus. added 8 characters in body Apr 15 revised Finding the area under the given parameters added 10 characters in body; edited tags Apr 15 revised Definition of matrix transformation added 6 characters in body Apr 15 comment Definition of matrix transformation i think so :) that's indeed a common definition Apr 14 revised Is $\mathrm{span}\{v_1,v_2,v_3\}=\mathrm{span}\{v_1+v_2,v_1+v_3,v_2+v_3\}$ if $v_1,v_2,v_3\in V$ a vector space over $\mathbb{Z}_2$? edited body Apr 14 reviewed Approve Is $\mathrm{span}\{v_1,v_2,v_3\}=\mathrm{span}\{v_1+v_2,v_1+v_3,v_2+v_3\}$ if $v_1,v_2,v_3\in V$ a vector space over $\mathbb{Z}_2$?