6 citations · 8 across the 9 of their papers we have counts for
9 papers
Asymptotic properties of goodness of fit tests based on higher order overlapping spacings
Sherzod M. Mirakhmedov
The paper is devoted to tests for uniformity based on sum-functions of overlapping spacings, where the order of spacings can diverge to infinity as the sample size increases. In pa…
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…
On the Asymptotic Properties of a Certain Class of Goodness-of-Fit Tests Associated with Multinomial Distributions
Sherzod M. Mirakhmedov
The object of study is the problem of testing for uniformity of the multinomial distribution. We consider tests based on symmetric statistics, defined as the sum of some function o…
On the intermediate asymptotic efficiency of goodness-of-fit tests in multinomial distributions
Sherzod M Mirakhmedov
We consider goodness-of-fit tests for uniformity of a multinomial distribution by means of tests based on a class of symmetric statistics, defined as the sum of some function of ce…
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…
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…
Asymptotic Intermediate Efficiency of the Chi-square and Likelihood Ratio Goodness of Fit Tests
Sherzod M. Mirakhmedov
The problem of testing the goodness of fit of an absolutely continuous distribution to a set of observations grouped into equal probability intervals, against to a family of sequen…
The Probabilities of Large Deviations for the Chi-square and Log-likelihood Ratio Statistics
Sherzod Mirakhmedov
A new large deviation results for the Pearson chi-square and Log-likelihood ratio statistics are obtained. Here attention is focused on the case when the number of groups increases…
Approximation by normal distribution for a sample sum in sampling without replacement from a finite population
Ibrahim Bin Mohamed, Sherzod M. Mirakhmedov
A sum of observations derived by a simple random sampling design from a population of independent random variables is studied. A procedure finding a general term of Edgeworth asymp…