ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT

Authors

  • G. P. Avagyan Chair of the Theory of Probabilities and Mathematical Statistics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2009.43.1.020

Keywords:

distribution, regular variation, constant slowly varying component

Abstract

In the present report it is proved that for a priori given numbers $\rho\in(1, +\infty)$ and $L\in R^+=(0, \infty)$ there is a distribution $\{p_n\}_1^\infty$ with the following properties: $\{p_n\}_1^\infty$ varies regularly as $n\rightarrow +\infty$ with exponent $(-\rho )$, exhibits the constant slowly varying component $L$, and $\{\log p_n\}_1^\infty$ is downward convex.

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Published

2009-02-19

How to Cite

Avagyan, G. P. (2009). ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT . Proceedings of the YSU A: Physical and Mathematical Sciences, 43(1 (218), 20–23. https://doi.org/10.46991/PYSU:A/2009.43.1.020

Issue

Section

Mathematics