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In this work the new multivariate discrete probability models of distribution of processes distortion of digital media is proposed and studied. Research was performed on a full cycle adopted in mathematical statistics, namely, the models were constructed and investigated, various methods for estimating the parameters was proposed and test the hypothesis that the models adequacy observations, was considered. For these models a new class of unbiased estimators, which have good asymptotic properties, obtained. Found that the maximum likelihood estimator for this model is not always possible to find. Also for this model impossible to construct estimates for the modified method of minimum chi-square. The proposed models are new and it was not described in the world literature previously.
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Iskakova Ayman is the Candidate of Physical and Mathematical Sciences, associate professor of fundamental mathematics of L.N. Gumiloyv Eurasian National University. Her scientific interests are in the areas of research of mathematical statistics and methods of mathematical modeling.
