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A strong stationary time for a Markov chain (X,) is a stopping time T
for which XT is stationary and independent of T. Such times yield sharp
bounds on certain measures of nonstationarity for X at...
Asymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theorems
stationary solutions multivariate stochastic recursions related limit theorems
2010/11/12
Let $\Phi_n$ be an i.i.d. sequence of Lipschitz mappings of $\R^d$. We study the Markov chain $\{X_n^x\}_{n=0}^\8$ on $\R^d$ defined by the recursion $X_n^x = \Phi_n(X^x_{n-1})$, $n\ge 0$, $X_0=x\in\...
An efficient estimator for locally stationary Gaussian long-memory processes
efficient estimator Gaussian long-memory processes
2010/11/18
This paper addresses the estimation of locally stationary long-range dependent processes, a methodology that allows the statistical analysis of time series data exhibiting both nonstationarity and str...
A stationary random graph is a random rooted graph whose distribution is invariant under re-rooting along the simple random walk. We adapt the entropy technique developed for Cayley graphs and show i...