Regularly Varying of the Normalizing Constants in the Theorem of Convergence to a Positive Stable Distribution

Chitchyan, Robert N.

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Title: Regularly Varying of the Normalizing Constants in the Theorem of Convergence to a Positive Stable Distribution

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54-59

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This article examines the behavior of the normalizing constants in V. Feller’s theorem on the convergence of distributions for sums of independent, identically distributed random variables with heavy tails at infinity. It is proved that, in this setting, the normalizing constant is regularly varying at infinity.

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oai:arar.sci.am:405370

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Insurance random variable regularly varying function slowly varying function stable distribution

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Aug 7, 2025

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Aug 7, 2025

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https://arar.sci.am/publication/437400

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Chitchyan, Robert N., Regularly Varying of the Normalizing Constants in the Theorem of Convergence to a Positive Stable Distribution	Aug 7, 2025

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