Which Urbanik class <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si4.svg"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:math>, do the hyperbolic and the generalized logistic characteristic functions belong to?
نویسندگان
چکیده
Selfdecomposable variables obtained from series of Laplace (double exponential) are objects this study. We prove that hyperbolic-sine and hyperbolic-cosine in the difference Urbanik classes L2 L3 while generalized logistic variable is at least class L1. Hence some ratios those corresponding selfdecomposable characteristic functions again selfdecomposable.
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2023
ISSN: ['1879-2103', '0167-7152']
DOI: https://doi.org/10.1016/j.spl.2023.109814