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Asymptotic Properties of the Distribution of the Supremum of a Random Walk on a Markov Chain

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Publication:3906223
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DOI10.1137/1125039zbMath0456.60072OpenAlexW2024097510MaRDI QIDQ3906223

Klaus Arndt

Publication date: 1980

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1125039


zbMATH Keywords

asymptotic behaviour


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)


Related Items (8)

Uniform Markov renewal theory and ruin probabilities in Markov random walks. ⋮ Discrete and continuous time modulated random walks with heavy-tailed increments ⋮ Subexponential Asymptotics for Steady State Tail Probabilities in a Single-Server Queue with Regenerative Input Flow ⋮ Saddlepoint approximations and nonlinear boundary crossing probabilities of Markov random walks ⋮ Local asymptotics of a Markov modulated random walk with heavy-tailed increments ⋮ Asymptotic expansions on moments of the first ladder height in Markov random walks with small drift ⋮ Random walks with internal degrees of freedom ⋮ Risk theory in a Markovian environment







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