Turán type inequalities for some probability density functions-Reference-Cited by-同舟云学术

Turán type inequalities for some probability density functions

Published:2010-06-01 Issue:2 Volume:47 Page:175-189
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
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Author:

Baricz Árpád¹

Affiliation:

1. 1 Babeş-Bolyai University Faculty of Economics RO-400591 Cluj-Napoca Romania

Abstract

In this paper we present some Turán type inequalities for the probability density function (pdf) of the non-central chi-squared distribution, non-central chi distribution and Student distribution, respectively. Moreover, we improve a result of Laforgia and Natalini concerning a Turán type inequality for the modified Bessel functions of the second kind.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2009.1123

Reference45 articles.

1. Turán inequalities for symmetric Askey-Wilson polynomials;Abreu L. D.;Rocky Mountain Journal of Mathematics,2009

2. On Turán’s inequality for Legendre polynomials;Alzer H.;Expositiones Mathematicae,2007

3. Computation of modified Bessel functions and their ratios;Amos D. E.;Mathematics of Computation,1974

4. Properties of the probability density function of the non-central chi-squared distribution;András Sz.;Journal of Mathematical Analysis and Applications,2008

5. Turán type inequalities for generalized complete elliptic integrals;Baricz;Mathematische Zeithschrift,2007

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