Results 81 to 90 of about 24,420 (193)
Ornstein–Uhlenbeck process, Cauchy process, and Ornstein–Uhlenbeck–Cauchy process on a circle
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Model Ambiguity versus Model Misspecification in Dynamic Portfolio Choice
The Journal of Finance, EarlyView.ABSTRACT We study aversion to model ambiguity and misspecification in dynamic portfolio choice. Risk‐averse investors (relative risk aversion γ>1$\gamma > 1$) fear return persistence, while risk‐tolerant investors (0<γ<1$0<\gamma <1$) fear mean reversion, when confronting model misspecification concerns of identically and independently distributed (IID)
PASCAL J. MAENHOUT +2 more
wiley +1 more source
Functionals of complex Ornstein-Uhlenbeck processes
Computers & Mathematics with Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arató, M., Baran, S., Ispány, M.
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Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
Alternative way to derive the distribution of the multivariate Ornstein–Uhlenbeck process
Advances in Difference Equations, 2019 In this paper, we solve the Fokker–Planck equation of the multivariate Ornstein–Uhlenbeck process to obtain its probability density function. This approach allows us to ascertain the distribution without solving it analytically.
P. Vatiwutipong, N. Phewchean
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Journal of Time Series Analysis, EarlyView.ABSTRACT We propose a new formulation of the Vašičekmodel within the framework of functional data analysis. We treat observations (continuous‐time rates) within a suitably defined trading day as a single statistical object. We then consider a sequence of such objects, indexed by day.
Piotr Kokoszka +4 more
wiley +1 more source
Effects of Noise on Entropy Evolution
, 2005 We study the convergence properties of the conditional (Kullback-Leibler) entropy in stochastic systems. We have proved very general results showing that asymptotic stability is a necessary and sufficient condition for the monotone convergence of the ...
Abbondandolo +27 more
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Parameter estimation for Ornstein–Uhlenbeck processes driven by fractional Lévy process
Journal of Inequalities and Applications, 2018 We study the minimum Skorohod distance estimation θε∗ $\theta _{\varepsilon}^{\ast }$ and minimum L1 $L_{1}$-norm estimation θε˜ $\widetilde {\theta _{\varepsilon}}$ of the drift parameter θ of a stochastic differential equation dXt=θXtdt+εdLtd $dX_{t ...
Guangjun Shen, Yunmeng Li, Zhenlong Gao
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Measures of dependence for Ornstein-Uhlenbeck processes with tempered stable distribution [PDF]
In this paper we investigate the dependence structure for Ornstein-Uhlenbeck processes with totally skewed tempered stable structure. They are natural extension of Ornstein-Uhlenbeck processes with stable (and Gaussian) distribution.
Wylomanska-, Agnieszka
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