2
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1answer
57 views

How to finish some complex integration

How to finish some integration as following below: $$\int_x^{\infty} \frac{\mathrm \beta^{\alpha+\gamma} X^{\alpha-1}(y-x)^{\gamma-1}\exp^{-\beta y}}{\Gamma(\alpha) \Gamma(\gamma)}dy\;$$ and ...
1
vote
1answer
324 views

How to calculate inverse c.d.f. for Zipf distribution

How can i calculate the Inverse c.d.f. for Zipf distribution? This distribution has: $$ \mathrm{pdf}(x) = \frac{1}{x^s \times H_{N,s}} $$ $$ \mathrm{cdf}(x) = \frac{H_{x,s}}{H_{N,s}} $$ where $s ...