ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT

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ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT Gor Avakyan

In the present report it is proved that for a priori given numbers ρ∈(1,+∞) and L∈R+=(0,∞) there is a distribution {pn}1∞ with the following properties: {pn}1∞ varies regularly as n→+∞ with exponent (−ρ), exhibits the constant slowly varying component L, and {log⁡pn}1∞ is downward convex.

DOI: 10.46991/PYSUA.2009.43.1.020 Physical and Mathematical Sciences, 43(1 (218) 20-23

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Keywords

distribution, regular variation, constant slowly varying component

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