MATHEMATICAL EXPECTATIONS OF FUNCTIONS FROM RANDOM SUMS

Authors

Hurshidjon Jumaqulov, Durdona Bomurotova 1.Candidate of physical and mathematical sciences, associate professor of the "International tourism and economics" department of the Kokand University 2.Master's student at Karshi State University

Abstract

A random sum is the sum of a random number of random variables. Instead of adding a fixed number of terms, the number of terms itself is uncertain. This structure appears naturally in many applied probability models.

The main problem studied in this topic is how to compute or analyze the expected value of a function of such a random sum. This is more complicated than finding the expectation of a simple random variable because two layers of randomness are involved:

randomness in the number of terms,
randomness in the terms themselves.

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References

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Published

2026-02-28 — Updated on 2026-03-17

Versions

2026-03-17 (2)
2026-02-28 (1)

How to Cite

Hurshidjon Jumaqulov, Durdona Bomurotova. (2026). MATHEMATICAL EXPECTATIONS OF FUNCTIONS FROM RANDOM SUMS. International Multidisciplinary Journal for Research & Development, 13(02), 837–840. Retrieved from https://www.ijmrd.in/index.php/imjrd/article/view/5207 (Original work published February 28, 2026)