Informatics and Applications
2018, Volume 12, Issue 3, pp 28-34
DATA NOISING BY FINITE NORMAL AND GAMMA MIXTURES WITH APPLICATION TO THE PROBLEM OF ROUNDED OBSERVATIONS
Abstract
In many real problems, statistical analysis of data containing additional measurement errors, including rounding, is performed, which in some situations can lead to sufficiently significant distortions. In this paper, estimates for an unknown expectation of observations are obtained for one of the possible rounding models under the assumption that the original data are additionally noised with random variables having distributions of the type of finite mixtures of normal and gamma laws. Confidence intervals for an unknown expectation are constructed using the refined estimate for the variance of the integer part of the random variable. An algorithm for determining the value of the parameter of artificial noise, which can be added to the initial data to improve the quality of the method of moving separation of mixtures, is discussed.
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[+] About this article
Title
DATA NOISING BY FINITE NORMAL AND GAMMA MIXTURES WITH APPLICATION TO THE PROBLEM OF ROUNDED OBSERVATIONS
Journal
Informatics and Applications
2018, Volume 12, Issue 3, pp 28-34
Cover Date
2018-08-30
DOI
10.14357/19922264180304
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
noisy data; rounded data; finite normal mixtures; finite gamma mixtures; confidence intervals; moving separation of mixtures
Authors
A. K. Gorshenin 
Author Affiliations
Institute of Informatics Problems, Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
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