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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2024 Volume 27, Number 2, Pages 211–216 (Mi sjvm871)

An approximate algorithm for simulating stationary discrete random processes with bivariate distributions of their consecutive components in the form of mixtures of Gaussian distributions

V. A. Ogorodnikovab, M. S. Akentevaa, N. A. Kargapolovaab

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Russia

Abstract: The paper presents an approximate algorithm for modeling a stationary discrete random process with marginal and bivariate distributions of its consecutive components in the form of a mixture of two Gaussian distributions. The algorithm is based on a combination of the conditional distribution method and the rejection method. An example of application of the proposed algorithm for simulating time series of daily maximum air temperatures is given.

Key words: stochastic simulation, bivariate distribution, mixture of Gaussian distributions, maximum daily temperature.

UDC: 519.6

Received: 31.01.2024
Revised: 05.02.2024
Accepted: 04.03.2024

DOI: 10.15372/SJNM20240206


 English version:
Numerical Analysis and Applications, 2024, 17:2, 169–173


© Steklov Math. Inst. of RAS, 2026