@article {IOPORT.04028562,
    author       = {Kartashov, N.V.},
    title        = {Asymptotic representations in the ergodic theorem for generalized Markov chains and their applications.},
    year         = {1986},
    journal      = {Theory of Probability and Mathematical Statistics},
    volume       = {32},
    issn         = {0094-9000},
    pages        = {131-139},
    publisher    = {American Mathematical Society, Providence, RI},
    abstract     = {Let $X=(X\sb t$, $t\ge 0)$ be a Markov chain with values in a measurable space E. The author, who introduced the concept of a uniform ergodic chain X with respect to a norm [ibid. 30, 65-81 (1984; Zbl 0562.60070); English translation in Theory Probab. Math. Stat. 30, 71-89 (1985)], obtains here asymptotic representations for the transition probabilities of general Markov chains in terms of exponential order of decrease. He shows that, in the general case, the exponent cannot be made smaller and gives applications of these results to imbedded Markov chains in M/G/1 and G/M/1 queueing systems. Very clearly exposed and full of important questions, this work is of real interest for specialists.},
    reviewer     = {G.G.Vr\^anceanu},
    identifier   = {04028562},
}