Method of the statistical analysis of characteristics entrance streams of inquiries in systems of information processing
Abstract
Method of the statistical analysis of characteristics entrance streams of inquiries in systems of information processing
Incoming article date: 17.04.2015Receiving adequate mathematical model requires studying of streams of inquiries into the information system which are described as random variables. The purpose of the analysis is definition of density function of distribution of random variables - time intervals between inquiries of users. The offered method contains stages at which check of independence and similarity of distribution of random variables is carried out, stationarities of a stream and the law of distribution of intervals of time between events is defined. For check of independence and similarity of distribution of random variables the criterias based on selective coefficients of correlation and the criteria which are based on the spectral density of intervals are used. For the analysis of stationarity of a stream of inquiries the standard methods of the smallest square regression and methods based on the analysis of special mathematical models are used. For example, Poisson's stream which parameter changes under some law is supposed. Sequences of the events displaced by casual influences are presented as the events happening according to the schedule with delays in the form of the independent and equally distributed random variables. For comparison of intensity of streams of inquiries from various users of information system the criterion based on the relation of function of maximum similarity and an index of dispersion is used. The offered technique is focused on using of the modern computer programs, for example, MatLab, Statistika.
Keywords: Modeling, inquiry, distribution, random variable, flow of events, intensity, statistical analysis, criterion, stationarity of the Poisson process, the level of significance