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- W2079832223 abstract "An analogue of the Lai-Siegmund nonlinear renewal theorem is proved for processes of the form $S_n + xi_n$, where ${S_n}$ is a Markov random walk. Specifically, $Y_0,Y_1,cdots$ is a Markov chain with complete separable metric state space; $X_1,X_2,cdots$ is a sequence of random variables such that the distribution of $X_i$ given ${Y_j, j geq 0}$ and ${X_j, j neq i}$ depends only on $Y_{i - 1}$ and $Y_i; S_n = X_1 + cdots + X_n$; and ${xi_n}$ is slowly changing, in a sense to be made precise below. Applications to sequential analysis are given with both countable and uncountable state space." @default.
- W2079832223 created "2016-06-24" @default.
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- W2079832223 date "1992-04-01" @default.
- W2079832223 modified "2023-10-17" @default.
- W2079832223 title "Nonlinear Markov Renewal Theory with Statistical Applications" @default.
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- W2079832223 doi "https://doi.org/10.1214/aop/1176989804" @default.
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