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- W2092878079 abstract "In this paper we consider the probability density function (pdf) of a non-central χ2 distribution with arbitrary number of degrees of freedom. For this function we prove that can be represented as a finite sum and we deduce a partial derivative formula. Moreover, we show that the pdf is log-concave when the degrees of freedom is greater or equal than 2. At the end of this paper we present some Turán-type inequalities for this function and an elegant application of the monotone form of l'Hospital's rule in probability theory is given." @default.
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- W2092878079 date "2008-10-01" @default.
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- W2092878079 title "Properties of the probability density function of the non-central chi-squared distribution" @default.
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- W2092878079 doi "https://doi.org/10.1016/j.jmaa.2008.05.074" @default.
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