A functional equation and its application to the characterization of gamma distributions

作者：Meszaros Fruzsina^*

来源：Aequationes Mathematicae, 2010, 79(1-2): 53-59.

DOI：10.1007/s00010-010-0008-3

• Gamma distributions
• characterizations of probability distributions
• measurable solution a.e.

The functional equation
f(x)g(y) = p(x + y)q(x/y)
is investigated for almost all (x, y) is an element of R-+(2) and for the measurable functions f, g, p, q : R+ -> R+. This equation is related to the Lukacs characterization of gamma distribution.

• 出版日期2010-3