Absolute regularity and ergodicity of Poisson count processes
نویسندگان
چکیده
منابع مشابه
Absolute regularity and ergodicity of Poisson count processes
We consider a class of observation-driven Poisson count processes where the current value of the accompanying intensity process depends on previous values of both processes. We show under a contractive condition that the bivariate process has a unique stationary distribution and that the stationary version of the count process is absolutely regular. Moreover, since the intensities can be writte...
متن کاملOn $L_1$-weak ergodicity of nonhomogeneous continuous-time Markov processes
In the present paper we investigate the $L_1$-weak ergodicity of nonhomogeneous continuous-time Markov processes with general state spaces. We provide a necessary and sufficient condition for such processes to satisfy the $L_1$-weak ergodicity. Moreover, we apply the obtained results to establish $L_1$-weak ergodicity of quadratic stochastic processes.
متن کاملPoisson-Lindley INAR(1) Processes: Some Estimation and Forecasting Methods
This paper focuses on different methods of estimation and forecasting in first-order integer-valued autoregressive processes with Poisson-Lindley (PLINAR(1)) marginal distribution. For this purpose, the parameters of the model are estimated using Whittle, maximum empirical likelihood and sieve bootstrap methods. Moreover, Bayesian and sieve bootstrap forecasting methods are proposed and predict...
متن کاملErgodicity of Strong Markov Processes
We derive sufficient conditions for subgeometric f -ergodicity of strongly Markovian processes. We first propose a criterion based on modulated moment of some delayed return-time to a petite set. We then formulate a criterion for polynomial f -ergodicity in terms of a drift condition on the generator. Applications to specific processes are considered, including Langevin tempered diffusions on R...
متن کاملExponential Ergodicity and Regularity for Equations with Lévy Noise
We prove exponential convergence to the invariant measure, in the total variation norm, for solutions of SDEs driven by α-stable noises in finite and in infinite dimensions. Two approaches are used. The first one is based on Liapunov’s function approach by Harris, and the second on Doeblin’s coupling argument [9]. Irreducibility and uniform strong Feller property play an essential role in both ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bernoulli
سال: 2011
ISSN: 1350-7265
DOI: 10.3150/10-bej313