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PROPERTIES OF ONE LIMIT LAW IN RISK THEORY

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In the present paper some properties of one random process arising in many limit theorems of risk theory are investigated. Connection formulas with stable distributions and with one class of integral transforms are found. The asymptotical properties of this law are studied.

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