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Short Communications
On the Limit Distribution of the First Jump
I. N. Kovalenko Kiev
Abstract:
Formulas are obtained for the limit distribution of the first jump over the level t when $t\to\infty$ for a sequence of identically distributed independent random variables with positive means. The cases of lattice as well as non-lattice distributions are discussed; the method of factorization [2] is used.
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Theory of Probability and its Applications, 1960, 5:4, 425–428
Received: 22.12.1959
Citation:
I. N. Kovalenko, “On the Limit Distribution of the First Jump”, Teor. Veroyatnost. i Primenen., 5:4 (1960), 469–472; Theory Probab. Appl., 5:4 (1960), 425–428
Citation in format AMSBIB
\Bibitem{Kov60}
\by I.~N.~Kovalenko
\paper On the Limit Distribution of the First Jump
\jour Teor. Veroyatnost. i Primenen.
\yr 1960
\vol 5
\issue 4
\pages 469--472
\mathnet{http://mi.mathnet.ru/tvp4857}
\transl
\jour Theory Probab. Appl.
\yr 1960
\vol 5
\issue 4
\pages 425--428
\crossref{https://doi.org/10.1137/1105045}
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http://mi.mathnet.ru/eng/tvp4857 http://mi.mathnet.ru/eng/tvp/v5/i4/p469
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