Inferring the residual waiting time for binary stationary time series

Gusztáv Morvai; Benjamin Weiss

Displaying similar documents to “Inferring the residual waiting time for binary stationary time series”

A note on prediction for discrete time series

Gusztáv Morvai, Benjamin Weiss (2012)

Kybernetika

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Let ${X_{n}}$ be a stationary and ergodic time series taking values from a finite or countably infinite set $𝒳$ and that $f (X)$ is a function of the process with finite second moment. Assume that the distribution of the process is otherwise unknown. We construct a sequence of stopping times $λ_{n}$ along which we will be able to estimate the conditional expectation $E (f (X_{λ_{n} + 1}) | X_{0}, \dots, X_{λ_{n}})$ from the observations $(X_{0}, \dots, X_{λ_{n}})$ in a point wise consistent way for a restricted class of stationary and ergodic finite or countably infinite alphabet...

On the extremal behavior of a Pareto process: an alternative for ARMAX modeling

Marta Ferreira (2012)

Kybernetika

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In what concerns extreme values modeling, heavy tailed autoregressive processes defined with the minimum or maximum operator have proved to be good alternatives to classical linear ARMA with heavy tailed marginals (Davis and Resnick [8], Ferreira and Canto e Castro [13]). In this paper we present a complete characterization of the tail behavior of the autoregressive Pareto process known as Yeh-Arnold-Robertson Pareto(III) (Yeh et al. [32]). We shall see that it is quite similar to the...

Functionals of spatial point processes having a density with respect to the Poisson process

Viktor Beneš, Markéta Zikmundová (2014)

Kybernetika

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$U$ -statistics of spatial point processes given by a density with respect to a Poisson process are investigated. In the first half of the paper general relations are derived for the moments of the functionals using kernels from the Wiener-Itô chaos expansion. In the second half we obtain more explicit results for a system of $U$ -statistics of some parametric models in stochastic geometry. In the logarithmic form functionals are connected to Gibbs models. There is an inequality...