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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2025 Issue 9(159), Pages 1–8 (Mi irj782)

PROBABILITY THEORY AND MATHEMATICAL STATISTICS

Random number generator for simulating the results of monitoring bird populations in the territory of wind power plants

A. V. Naidisha, I. A. Petrenkob, M. P. Chepurnoia

a Melitopol State University
b North Caucasian branch of Belgorod state technological University named after. V. G. Shukhov

Abstract: An algorithm for obtaining random numbers that obey an arbitrary integral distribution function has been suggested, and a programme called Generator has been developed to produce sample data in accordance with this function. The programme was tested by comparing samples generated using the proposed method for various distributions with sample data calculated using known standard functions. The results of calculating statistical parameters for normal, exponential, and sinusoidal distributions found using the Generator programme are well in agreement with the calculations obtained using standard functions. The method is quite simple and can be easily implemented in any algorithmic language that provides the ability to connect a function for generating random integers. The findings are recommended for use in modelling the impact of wind farms on birds using the results of monitoring activities in their territory and buffer zones.

Keywords: random number generator, cumulative distribution function, random number distribution laws, Pearson criterion, wind power station.

Received: 10.04.2025
Revised: 17.09.2025
Accepted: 11.07.2025

DOI: 10.60797/IRJ.2025.159.71



© Steklov Math. Inst. of RAS, 2026