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Subexponential distribution functions

Subexponential distribution functions

Abstract A distribution function ( F on [0,โˆž) belongs to the subexponential class if and only if 1โˆ’ F (2) ( x ) ~ 2(1โˆ’ F(x) ), as x โ†’ โˆž. For an important class of distribution functions, a simple, necessary and sufficient condition for membership of is given. A โ€ฆ