TY - GEN

T1 - Statistical Properties of Cumulative Estimates of the Bounds of the Mathematical Expectation of a Discrete Random Variable and Point Estimates Based on Them

AU - Rodionov, Alexey

AU - Zheltova, Alena

N1 - Conference code: 21

PY - 2025/11/5

Y1 - 2025/11/5

N2 - The article examines statistical properties of cumulative estimates of the bounds of the mathematical expectation of a discrete random variable and point estimates constructed on their basis. Cumulative estimates of mathematical expectations are obtained or estimated, as well as two estimates of the mathematical expectation of a discrete random variable with a large number of states, based on these estimates. Various approaches to organizing the process of sampling without replacement are considered. It is shown how the use of intuitive a priori information about the domain of finding the true value of the mathematical expectation helps in determining the order of consideration of events when solving the set problems. The results are useful in the analysis of the reliability of networks on random graph and hypergraph models.

AB - The article examines statistical properties of cumulative estimates of the bounds of the mathematical expectation of a discrete random variable and point estimates constructed on their basis. Cumulative estimates of mathematical expectations are obtained or estimated, as well as two estimates of the mathematical expectation of a discrete random variable with a large number of states, based on these estimates. Various approaches to organizing the process of sampling without replacement are considered. It is shown how the use of intuitive a priori information about the domain of finding the true value of the mathematical expectation helps in determining the order of consideration of events when solving the set problems. The results are useful in the analysis of the reliability of networks on random graph and hypergraph models.

UR - https://www.scopus.com/pages/publications/105023698429

UR - https://www.mendeley.com/catalogue/53eee708-20f4-3aaf-b4d7-230b0cd70592/

U2 - 10.1109/opcs67346.2025.11219376

DO - 10.1109/opcs67346.2025.11219376

M3 - Conference contribution

SN - 979-8-3315-8982-0

SP - 1

EP - 5

BT - Proceedings - 2025 21st International Asian School-Seminar on Optimization Problems of Complex Systems (OPCS)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 21st International Asian School-Seminar on Optimization Problems of Complex Systems (OPCS)

Y2 - 7 July 2025 through 17 July 2025

ER -