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Competitive Stats
Q18Section I (Objective (Q1–Q80))18 of 80

Distribution Theory — normalizing constant of a bivariate power-law density

Consider the following for the next three (03) items that follow: Let the joint pdf of X and Y be f(x,y)=λx12(1+xy)20f(x, y) = \frac{\lambda x^{12}}{(1+xy)^{20}}; x>0,y>1x > 0, y > 1; 00 otherwise. What is the value of λ\lambda? (where B(m,n)=∫01xm−1(1−x)n−1dxB(m,n)=\int_0^1 x^{m-1}(1-x)^{n-1}dx)

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