On new properties of applied statistic distributions

Basic statistical distributions such as Gaussian, Student, Snedecor-Fisher and chi-square are considered. Their properties are studied in order to construct effective calculating schemes for them. There are obtained exact formulae in which the functions are presented in terms of elementary functions. In sections 2, 3 of the proposed presentation this hypothesis is completely verified. In addition for the calculation of Student, chi-square and Snedecor-Fisher distributions the efficient algorithms are worked out as a consequence of the obtained results.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

B Decays as a Probe of Spontaneous CP-Violation in SUSY Models

We consider phenomenological implications of susy models with spontaneously broken CP-symmetry. In particular, we analyze CP-asymmetries in B decays and find that the predictions of these models are vastly different from those of the SM. These features are common to NMSSM-like models with an arbitrary number of sterile superfields and the MSSM with broken R-parity.Comment: Talk given at SUSY'99, 14-19 June, Fermilab, Batavia, I

Steady-state analysis of M/M/c/c+m – type retrial queueing systems with constant retrial rate

The presentation deals with a research of bivariate Markov process {X(t), t>0} whose state space is a lattice semistrip S(X)={0,1,..., c+m}. The process X(t) describes the service policy of a multi-server retrial queue with c servers and m waiting positions in which the rate of repeated flow does not depend on the number of sources of retrial calls. First, for these models the ergodicity conditions were studied. Then, a vector-matrix representation of steady-state distribution was obtained in the class of queues. This representation allows to write down the stationary probabilities through the model parameters in closed form and to propose the closed formulas of its main performance measures. The investigative techniques use models and results for the QBD processes together with approximation of the initial model by means of the truncated one. As well as we discuss an application of the developed approach to study retrial queues with the controlled parameters and to solve optimization problems for the model.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tec