The note establishes a sufficient condition for the infinite divisibility of multivariate gamma distributions. Using the sufficient condition it proves infinite divisibility of bivariate, ...
What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide ...
Prove that for any natural number <I>n</I>,<BR>A=2903^n-803^n-464^n+261^n is evenly divisible by 1897.<BR><BR>I was thinking that there should be common prime factors to account for the divisibility, ...
If $\phi _{\nu}(t)$ denotes the characteristic function of Student's t-distribution with ν degrees of freedom and if m is any positive interger, $(\phi _{\nu}(t))^{1/m}$ is shown to possess a fourier ...
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