Geodesic
Decomposition of weakly aging distributions
Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 571-574

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A class of weakly aging distribution functions is introduced and a number of properties of this class are derived. It is proved in particular that a random variable $\xi$, having a weakly aging distribution function, can be written as a sum of two independent random variables, one of which has exponential distribution with a parameter equal to the modulus of the singular point of $Me^{-\delta\xi}$ nearest the coordinate origin. 
@article{MZM_1977_22_4_a12,
     author = {O. P. Vinogradov},
     title = {Decomposition of weakly aging distributions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {571--574},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a12/}
}
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O. P. Vinogradov. Decomposition of weakly aging distributions. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 571-574. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a12/