arXiv subjects
Publications and source records attributed to A. Zeldin.
The problem of estimation of the distribution parameters on the sample when the part of these parameters are discrete (e.g. integer) is considered. We prove that the rate of convergence of MLE estimates under the natural conditions on the distribution density is exponentially fast.
We developed an optimal in the natural sense algorithm of partition in cluster analysis based on the densities of observations in the different hypotheses. These densities may be characterized, for instance, as the multivariate so-called "quasi-Gaussian distribution". We describe also the possible applications in technical diagnosis, demography and philology.
A new characterization of the multivariate so-called "quasi-Gaussian distribution" (the authors dared to coin a new term) by means of independence their Cartesian and polar coordinates proposed. The authors try to show that these distributions may essentially differ from the classical Gaussian distribution. Some properties of these distributions are studied: calculating of moments and of bilateral tail behavior. Some potential applications of these distributions and mixtures of the distributions in demography, philology are discussed in the final section.