Empirical formulas for estimation of rice distribution parameters

Empirical formulas for estimation of rice distribution parameters

Asatryan D.G. (IIAP NAS RA, Yerevan, Armenia; RAU, Yerevan, Armenia)
Andreasyan L.K. (NPUA, Yerevan, Armenia)
Sazhumyan G.S. (IIAP NAS RA, Yerevan, Armenia; RAU, Yerevan, Armenia)

Abstract

The Rice distribution is applied as a mathematical model in the study of various problems in science and technology. The main task in applications is to estimate the parameters of the Rice distribution from a sample of the measured signal and to separate the parameters of the deterministic signal and noise based on these estimates. Parameter estimation is mainly performed using the maximum likelihood method and the method of moments. However, as is known, both methods often lead to solving systems of equations containing special functions, so additional computational resources are used for the solution. One of the methods to overcome these difficulties is the development of simple, yet sufficiently effective empirical formulas (EFs) that are competitive in accuracy with known algorithms for estimating the parameters of the Rice distribution. This work is devoted to solving this problem.

Keywords

Rice distribution; parameter estimation; maximum likelihood method; method of moments; empirical formulas.

Edition

Proceedings of the Institute for System Programming, vol. 38, issue 3, part 2, 2026, pp. 7-14

ISSN 2220-6426 (Online), ISSN 2079-8156 (Print).

DOI: 10.15514/ISPRAS-2026-38(3)-18

For citation

Asatryan D.G., Andreasyan L.K., Sazhumyan G.S. Empirical formulas for estimation of rice distribution parameters. Proceedings of the Institute for System Programming, vol. 38, issue 3, part 2, 2026, pp. 7-14 DOI: 10.15514/ISPRAS-2026-38(3)-18.

Full text of the paper in pdf (in Russian) Back to the contents of the volume