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Two queues with random time-limited polling

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.4

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Polling model, workload decomposition, heavy traffic, heavy tail asymptotics, singular perturbation analysis, timescale separation, geometric ergodicity

Renewal function asymptotics refined à la Feller

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.5

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Renewal function, asymptotics of refined iterates, moment condition

Martingale approach for tail asymptotic problems in the gener­alized Jackson network

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.11

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Generalized Jackson network, stationary distribution, tail asymptotic, piecewise deterministic Markov process, martingale, change of measure, instability

Tail asymptotics of signal-to-interference ratio dis­tribution in spatial cellular network models

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.12

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Spatial point processes, cellular networks, tail asymptotics, signal-to-interference ratio, determinantal point processes

A note on first passage probabilities of a Lévy process reflected at a general barrier

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.13

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Reflected Lévy process, Central Limit Theorem, asymptotics, first passage probability

The area of a spectrally positive stable process stopped at zero

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.2

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Hitting time, integrated process, stable Lévy process, tail asymptotics

Extremes of order statistics of stationary Gaussian processes

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.4

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Asymptotic, Gaussian processes, order statistic, stationarity, supremum

On the number of reflexive and shared nearest neighbor pairs in one-dimensional uniform data

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.7

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Asymptotic normality, central limit theorem, exact distribution, law of large numbers, nearest neighbor graphs and digraphs, random permutation

Extremes of multidimensional stationary Gaussian random fields

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.10

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Gaussian random field, supremum, limit theorem, asymptotics, Berman condition, strong dependence

M-estimation of the mixed-type generalized linear model

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.11

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Asymptotic normality, consistency, Mestimation, mixed-type generalized linear model

Asymptotic behaviour of linear rank statistics for the two-sample problem

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Two-sample problem, linear rank statistics, Hungarian construction, moderate deviations, local alternatives, asymptotic distribution, asymptotic normality

Asymptotic properties of GPH estimators of the memory parameters of the fractionally integrated separable spatial ARMA (FISSARMA) models

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Spatial processes, FISSARMA models, asymptotic properties, GPH estimators, long-memory parameters

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