Logistic models with regime switching: Permanence and ergodicity

Sufficient and Necessary Conditions of Stochastic Permanence and Extinction for Stochastic Logistic Populations under Regime Switching

In this paper, we prove that a stochastic logistic population under regime switching controlled by a Markov chain is either stochastically permanent or extinctive, and we obtain the sufficient and necessary conditions for stochastic permanence and extinction under some assumptions. In the case of stochastic permanence we estimate the limit of the average in time of the sample path of the soluti...

COMPARING REGIME-SWITCHING MODELS IN TIME SERIES: LOGISTIC MIXTURES: vs. MARKOV SWITCHING

Title of thesis: COMPARING REGIME-SWITCHING MODELS IN TIME SERIES: LOGISTIC MIXTURES: vs. MARKOV SWITCHING Dimitrios V. Paliouras Master of Science, 2007 Thesis directed by: Professor Benjamin Kedem Department of Mathematics The purpose of this thesis is to review several related regime-switching time series models. Specifically, we use simulated data to compare models where the unobserved stat...

Regime Switching Garch Models

We develop univariate regime-switching GARCH (RS-GARCH) models wherein the conditional variance switches in time from one GARCH process to another. The switching is governed by a time-varying probability, specified as a function of past information. We provide sufficient conditions for geometric ergodicity and existence of moments. Because of path dependence, maximum likelihood estimation is no...

Regime - Switching Models

Modeling Electricity Prices with Regime Switching Models

We address the issue of modeling spot electricity prices with regime switching models. After reviewing the stylized facts about power markets we propose and fit various models to spot prices from the Nordic power exchange. Afterwards we assess their performance by comparing simulated and market prices. 1 Electricity Spot Prices: Markets and Models The deregulation of the power industry has give...