Now showing items 1-11 of 11

• #### Accuracy of estimating the mean from rounded data ﻿

(Peer reviewed; Journal article, 2020)
Rounding errors are an important factor in many statistical problems; therefore, statistical analysis of rounded data has recently received growing interest. In this paper we obtain an estimate of accuracy of the sample ...
• #### Bandwidth Selection in Kernel Density Estimation ﻿

(Master thesis, 2010)
In kernel density estimation, the most crucial step is to select a proper bandwidth (smoothing parameter). There are two conceptually different approaches to this problem: a subjective and an objective approach. In this ...
• #### Bandwith selection based on a special choice of the kernel ﻿

(Master thesis, 2007)
We investigate methods of bandwidth selection in kernel density estimation for a wide range of kernels, both conventional and non-conventional.
• #### An Estimate of Stability of Reconstruction of the Normal Distribution Type ﻿

(Peer reviewed; Journal article, 2020)
One of the characterization problems of statistics is reconstruction of types when observations can have different location and/or scale parameters. In these cases, invariant statistics are used, and one of the main problems ...
• #### Estimation of the second moment based on rounded data ﻿

(Peer reviewed; Journal article, 2019)
• #### Moment-based characterizations of the exponential distribution in the class of distributions with monotone hazard rate ﻿

(Journal article; Peer reviewed, 2018)
Some new characterizations of the exponential distribution in the class of distributions with monotone hazard rate are obtained. The characterizations are formulated in terms of expectations of order statistics.
• #### The multivariate distributions of output streams in a queueing system with preemptive repeat priority ﻿

(Peer reviewed; Journal article, 2021)
The paper studies a single server queuing system with r types of customers, preemptive repeat priority and an infinite number of positions in the queue. The arrival stream of customers of each type is a Poisson stream. Each ...
• #### On sensitivity of exponentiality tests to data rounding: a Monte Carlo simulation study ﻿

(Journal article; Peer reviewed, 2021)
Different statistical procedures are differently sensitive to data rounding. It turns out that tests for exponentiality are more sensitive to the data rounding than many classical parametric tests or than nonparametric ...
• #### On the effect of rounding on hypothesis testing when sample size is large ﻿

(Peer reviewed; Journal article, 2022)
It is well known that sample moments are more sensitive and less robust than order statistics for robustness with respect to outliers. In this article, we show that the situation is exactly the opposite for robustness with ...
• #### Statistical analysis of rounded data: measurement errors vs rounding errors ﻿

(Journal article; Peer reviewed, 2018)
Since data for statistical analysis are always given in a discretized form, observations contain not only measurement errors but also rounding errors which are determined by the discretization step. In this paper we consider ...
• #### The output streams in the single server queueing system with a head of the line priority ﻿

(Journal article; Peer reviewed, 2019)
Изучена однолинейная система массового обслуживания с бесконечным числом мест для ожидания, произвольным распределением времени обслуживания и двумя пуассоновскими входящими потоками требований. Требования первого потока ...