Numerical aspects of statistical pattern recognition

The paper presents numerical restrictions of Bayesian method to a pattern recognition. The maximum probability of local state correspondence to one of the basis patterns is defined through the expansion of examined vector over the patterns. The practical recognition example without errors is presented in the frame of nearest neighbor method for the case, when the probability interpretation of the expansion coefficients is not valid. The spectral portraits of solving matrices are constructed for the literature texts author identification problem. Also, the statistical properties of letters frequencies in European literature texts are investigated. The determination of logarithmic dependence of letters sequence for one-language and two language texts are examined. The Voynich Manuscript structure was considered for numerical analysis. After our numerical analysis, we suppose, that the Voynich Manuscript was written in two languages having the same alphabet without vowel letters: one of the Germanic languages (Danish or German) and one of the Romance languages (Latin or Spanish). Copyright © 2018 for the individual papers by the papers’ authors

On the performance measures of LTE radio access procedure under massive M2M communications

Providing the evolution from current wireless systems to fifth generation (5G) network is to support massive Machine-to-Machine (M2M) wireless communications in radio access network. Performance analysis of the random access channel (RACH) is a top issue within the M2M-connection in LTE networks, because prior the data transmitting, the session initiation procedure, which perform the connection initiation for user equipment, could overload the channel dealing with burst arrival of connection requests. The purpose of this paper is to continue the analysis of RACH initiation procedure using discrete Markov chain model, and to investigate the dependence of average delay time from preamble processing time. The simulation model is obtained, which allows for estimating the influence of preamble collision on the success access connection initiation in radio access network. Copyright © 2018 for the individual papers by the papers' authors

On the Distribution of the Stationary Point of Significance Level for Empirical Distribution Function

We consider empirical distribution functions of nonstationary time-series, depending on set length. The local self- consistent significance level is introduced. The class of time- series, for which the distribution function of significance level is stationary, is considered. For example, the signal-to-interference ratio for random walking subscribers in D2D model of wireless connection belongs to this class of random processes. We introduce also the so-called Chernoff equivalence of the self-consistent significance level and derive the formula of averaging levels for various sets. © 2018 IEEE