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Matematicheskie Zametki, 1977, Volume 22, Issue 4, Pages 571–574 (Mi mzm8079)  
Decomposition of weakly aging distributions

O. P. Vinogradov

M. V. Lomonosov Moscow State University
Full-text PDF (252 kB)
Abstract: 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.
Received: 30.06.1976
English version:
Mathematical Notes, 1977, Volume 22, Issue 4, Pages 809–811
DOI: https://doi.org/10.1007/BF01146429
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: O. P. Vinogradov, “Decomposition of weakly aging distributions”, Mat. Zametki, 22:4 (1977), 571–574; Math. Notes, 22:4 (1977), 809–811
Citation in format AMSBIB
\Bibitem{Vin77}
\by O.~P.~Vinogradov
\paper Decomposition of weakly aging distributions
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 4
\pages 571--574
\mathnet{http://mi.mathnet.ru/mzm8079}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=478528}
\zmath{https://zbmath.org/?q=an:0372.60024}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 4
\pages 809--811
\crossref{https://doi.org/10.1007/BF01146429}
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