Article ID Journal Published Year Pages File Type
977515 Physica A: Statistical Mechanics and its Applications 2006 5 Pages PDF
Abstract

The present study investigates linear and volatile (nonlinear) correlations of first-order auto-regressive process with uncorrelated AR (1) and long-range correlated CAR (1) Gaussian innovations as a function of the process parameter (θ)(θ). In the light of recent findings [A. Király, I.M. Jánosi, Phys. Rev. E 65 (2002) 0511021], we discuss the choice of CAR (1) in modeling daily temperature records. We demonstrate that while CAR (1) is able to capture linear correlations it is unable to capture nonlinear (volatile) correlations in daily temperature records.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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