Correlation properties of continuous-time autoregressive processes delayed by the inverse of the stable subordinator

DOI10.1080/03610926.2019.1612918OpenAlexW2941107890WikidataQ127938493 ScholiaQ127938493MaRDI QIDQ5078010

I. Papić, Nikolai N. Leonenko

Publication date: 20 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://orca.cardiff.ac.uk/121914/1/dCAR_19_03_20.pdf

zbMATH Keywords

Mittag-Leffler functioncorrelation structureLévy noisecontinuous-time autoregressive processdelayed stochastic processinverse of the stable subordinator

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Statistics (62-XX) Time series analysis of dynamical systems (37M10)

Related Items (1)

On the Whittle estimator for linear random noise spectral density parameter in continuous-time nonlinear regression models

Cites Work

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• Correlation structure of fractional Pearson diffusions
• Distribution of roots of Mittag-Leffler functions
• Stable continuous-time autoregressive process driven by stable subordinator
• Subordinated continuous-time AR processes and their application to modeling behavior of mechanical system
• Inefficient estimators of the bivariate survival function for three models
• Heavy-tailed fractional Pearson diffusions
• A functional limit theorem for stochastic integrals driven by a time-changed symmetric \(\alpha\)-stable Lévy process
• Fractional Pearson diffusions
• Non-Gaussian Ornstein–Uhlenbeck-based Models and Some of Their Uses in Financial Economics
• On the long-range dependence of fractional Poisson and negative binomial processes
• L'Hospital's Rule for Complex-Valued Functions
• On defining long-range dependence
• Limit theorems for continuous-time random walks with infinite mean waiting times
• Mittag-Leffler Functions, Related Topics and Applications
• Stochastic models for fractional calculus
• Lévy-driven CARMA processes

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