6 citations · 8 across the 9 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2024
The central limit theorem for sum-functions of m-tuples of spacings
Sherzod M. Mirakhmedov
Let n points be taken at random on a circle of unit circumference and clockwise ordered. Uniform spacings are defined as the clockwise arc-lengths between the successive points fro…
math.PR2022
The Probabilities of Large Deviations Associated with Multinomial Distributions
Sherzod M. Mirakhmedov
We consider a multinomial distribution, where the number of cells increases and the cell-probabilities decreases as the number of observations grows. The probabilities of large dev…
math.PR2017
On the Limit Distributions Associated with Step-kind Boundary Problems
Sherzod M. Mirakhmedov, Anatoliy N. Starscev
A random walk generated by a sum of independent identity distributed random variables with positive expectation is considered. The limiting distributions for the first- passage -ti…