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Precise large deviations for strong subexponential distributions and applications on a multi risk model

Fotios Loukissas

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 20, 5175-5190

Abstract: We investigate the asymptotic relations for sums of independent identically distributed random variables when the distribution function belongs to the heavy tailed S* class. Also, we investigate if the asymptotic relation of large deviations holds, when the relation between x and n is linear, for all subexponential tailed distribution functions using the example of Weibull distribution. Finally, we apply the main result on the multi risk model it was introduced in Wang and Wang (2007).

Date: 2019
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DOI: 10.1080/03610926.2018.1508717

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