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Parameter estimation for generalized mixed fractional stochastic heat equation

Published: March 17, 2025 | arXiv ID: 2503.12863v1

By: B. L. S. Prakasa Rao

Potential Business Impact:

Predicts how heat spreads with random wiggles.

Business Areas:
A/B Testing Data and Analytics

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 behaviour of the solution. We suggest estimators for the unknown parameters based on discrete time observations and study their asymptotic properties.

Page Count
9 pages

Category
Mathematics:
Probability