PARAMETER ESTIMATION FOR GENERALIZED MIXED FRACTIONAL STOCHASTIC HEAT EQUATION

We study the properties of a stochastic heat equation with a generalized mixed fractional Brownian noise.We obtain the covariance structure, stationarity and obtain bounds for the asymptotic behavior of the solution.We suggest estimators for the unknown parameters based on discrete time observations and study their asymptotic properties.

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Publication Details

Journal
Bulletin of informatics and cybernetics
Published
2025-01-01
DOI
https://doi.org/10.5109/7363245
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00

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article

PARAMETER ESTIMATION FOR GENERALIZED MIXED FRACTIONAL STOCHASTIC HEAT EQUATION

Б. Л. С. Пракаса Рао
Bulletin of informatics and cybernetics
Fractional Differential Equations Solutions
article

PARAMETER ESTIMATION FOR GENERALIZED MIXED FRACTIONAL STOCHASTIC HEAT EQUATION

Б. Л. С. Пракаса Рао
article en

Abstract

We study the properties of a stochastic heat equation with a generalized mixed fractional Brownian noise.We obtain the covariance structure, stationarity and obtain bounds for the asymptotic behavior of the solution.We suggest estimators for the unknown parameters based on discrete time observations and study their asymptotic properties.

Bulletin of informatics and cyberneticsVol. 57(3)
CR Rao Advanced Institute of Mathematics, Statistics and Computer Science (IN)
Indian National Science Academy
Openalex Percentile: Top 82%
Fractional Differential Equations Solutions
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