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The paper presents a systematic theory for asymptotic inference of autocovariances of stationary processes.We consider nonparametric tests for serial correlations based on the maximum (or L1) and th...
We give a new proof of Makagon's and Weron's criterion for Jo-regularity (see [4], Theorem 5.3), and discuss some conditions of Jo-singularity of q-variate stationary processes.
Consider a real valued stationary process $X={X_s:, sinRR}$. For a fixed $tin RR$ and a set $D$ in the state space of $X$, let $g_t$ and $d_t$ denote the starting and the ending time, respectively, of...
Consider a real valued stationary process $X={X_s:, sinRR}$. For a fixed $tin RR$ and a set $D$ in the state space of $X$, let $g_t$ and $d_t$ denote the starting and the ending time, respectively, of...
This paper discusses the asymptotic properties of the posterior density under Whittle measure. The Bernstein-von Mises theorem is shown for short- and long-memory stationary processes. Applications to...
The problem of fitting a parametric model of time series with time varying parameters attracts our attention. We evaluate a goodness of time varying spectral models from an information theoretic point...

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