This article is cited in 3 papers

Short Communications

Über die Wahrscheinlichkeit für nichterscheinen vorgegebener Anzahl der Ausgänge

P. F. Beljaew

Moscow

Abstract: Suppose $n$ trials are carried out which are connected in a simple homogeneous Markov chain with $k$ outcomes.
Let $P_{n,k}(m)$ be the probability that after $n$ trials exactly $m$ of the $k$ outcomes remain unrealized.
The asymptotic behavior of $P_{n,k}(m)$ is investigated for fixed $m$ for $n\to\infty$ and $k\to\infty$.

Received: 09.02.1963

 English version: Theory of Probability and its Applications, 1964, 9:3, 489–494

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