Results 61 to 70 of about 617,206 (220)

A Fractional Process with Jumps for Modeling Karstic Spring Discharge Data

open access: yesMathematics
Fractal dimensions for the daily discharge data series of several karstic springs in northeast Hungary have recently been computed and analyzed. We model four of those series with similar fractal dimensions using a superposition of a fractional Ornstein ...
Dániel Boros   +4 more
doaj   +1 more source

Maximum likelihood estimation in the non-ergodic fractional Vasicek model

open access: yesModern Stochastics: Theory and Applications, 2019
We investigate the fractional Vasicek model described by the stochastic differential equation $d{X_{t}}=(\alpha -\beta {X_{t}})\hspace{0.1667em}dt+\gamma \hspace{0.1667em}d{B_{t}^{H}}$, ${X_{0}}={x_{0}}$, driven by the fractional Brownian motion ${B^{H}}$
Stanislav Lohvinenko   +1 more
doaj   +1 more source

Creating Tail Dependence by Rough Stochastic Correlation Satisfying a Fractional SDE; An Application in Finance

open access: yesMathematics
The stochastic correlation for Brownian motions is the integrand in the formula of their quadratic covariation. The estimation of this stochastic process becomes available from the temporally localized correlation of latent price driving Brownian motions
László Márkus   +2 more
doaj   +1 more source

Bayesian Inference for Questionable Data

open access: yesAustrian Journal of Statistics, 2016
In this paper we develop Bayesian procedures for vague data. The data are assumed to be vague in the sense that the likelihood is a mixture of the model distribution and an error distribution.
Klaus Felsenstein
doaj   +1 more source

Fractional Gaussian Noise: Projections, Prediction, Norms

open access: yesFractal and Fractional
We examine the one-sided and two-sided (bilateral) projections of an element of fractional Gaussian noise onto its neighboring elements. We establish several analytical results and conduct a numerical study to analyze the behavior of the coefficients of ...
Iryna Bodnarchuk   +2 more
doaj   +1 more source

Wiley Series in Probability and Statistics [PDF]

open access: bronze, 2009
Linda M. Collins, Stephanie T. Lanza
openalex   +1 more source

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