On the Constant in the Definition of Subexponential Distributions

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Previous article Next article On the Constant in the Definition of Subexponential DistributionsB. A. RogozinB. A. Rogozinhttps://doi.org/10.1137/S0040585X97977665PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractWe prove that the constant in the definition of subexponential distributions is equal to 2.[1] V. P. Chistyakov, A theorem on sums of independent positive random variables and its applications to branching random processes, Theory Probab. Appl., 9 (1964), pp. 640–648. tba TPRBAU 0040-585X Theor. Probab. Appl. LinkGoogle Scholar[2] J. Chover, , P. Ney and , and S. Wainger, Degeneracy properties of subcritical branching processes, Ann. Probab., 1 (1973), pp. 663–673. anb APBYAE 0091-1798 Ann. Probab. CrossrefGoogle Scholar[3] J. Chover, , P. Ney and , and S. Wainger, Functions of probability measures, J. Anal. Math., 26 (1973), pp. 255–302. 278 JOAMAV 0099-698X J. Anal. Math. 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