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Turán type inequalities for some probability density functions. (English) Zbl 1234.62010
This paper presents some Turán type inequalities for probability density functions of non-central chi-square, non-central chi and Student-t distributions. This paper also presents an improvement of a result of A. Laforgia and P. Natalini [J. Inequal. Appl. 2006, Article 29828 (2006; Zbl 1095.33002)] concerning a Turán type inequality for modified Bessel functions of the second kind.

##### MSC:
 62E10 Characterization and structure theory of statistical distributions 60E15 Inequalities; stochastic orderings 33C10 Bessel and Airy functions, cylinder functions, $${}_0F_1$$
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