Mellin transform

English

Alternative forms

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Etymology

Named after Finnish mathematician Template:W.

Noun

1. Template:Lb An integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform.
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   • 2005, Robb J. Muirhead, Aspects of Multivariate Statistical Theory, John Wiley & Sons, page 303,

     If $X$ is a positive random variable with density function $f(x)$, the Mellin transform $M(s)$ gives the $(s-l)$th moment of $X$. Hence Theorem 8.2.6 gives the Mellin transform of $W$ evaluated at $s=h+1$; that is,

     $M(h+1)=E(W^h)$.

     The inverse Mellin transform gives the density function of $W$.

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Further reading

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• Mellin transform on Template:W
• Mellin Transform on Template:W