CHI-SQUARED GOODNESS OF FIT TEST FOR GENERALIZED BIRNBAUM-SAUNDERS

MODELS FOR RIGHT CENSORED DATA AND ITS RELIABILITY APPLICATIONS

Generalized Birnbaum-Saunders (GBS) distributions are proposed by Díaz-García et al. based on the family of elliptically contoured univariate distributions. This model is well-known as the highly flexible lifetime model by the difference in the degrees of kurtosis and asymmetry and processes uni-modality and bimodality. In this paper, a modifier Chi-squared goodness-of-fit test based on Nikulin-Rao-Robson statistics is developed for the family of GBS distributions for the right censored data with unknown parameters by using the maximum likelihood estimation (MLE). Some applications of this model in survival analysis discuss also in the section of real study.

IMAGE RECOGNITITON BY MULTIDIMENSIONAL INTERVALS

In this paper new algorithm of interval images recognition is suggested. This algorithm gives accuracy solution of considered problem but demands not linear but square complexity by a number of objects. Main motive of such construction is to analyze practically interesting case when there is preliminary silence before predicted events.

ON ESTIMATION OF PARAMETERS BY THE MINIMUM DISTANCE METHOD

Parameter estimates, constructed by the minimum distance method, are briefly called the MD-estimates. The minimum distance method has been proposed by Wolfowitz (1957). An extensive bibliography was compiled and published by Parr (1981). In this paper the effectiveness of the shift parameter estimation based on the use of Cramer - von Mises weighted distance is discussed. The robustness of this kind of MD-estimates under various supermodels describing deviations from the Gaussian model is considered. Numerical results are given for the case of contaminated normal distributions. 

Model OF MULTILEVEL stochastic analysis of road safety on regional level

In this paper multilevel approach to the issue of road safety level on the road network of European regions, classified as NUTS 2 in statistical databases of the European Union, has been presented. Following the pattern of many publications on road safety it has been assumed that the risk calculated as the number of death casualties in road accidents per 100,000 inhabitants of a given region has Poisson distribution. Therefore, generalized Poisson model has been assumed in the modelling process. Multilevel stochastic analysis was performed for the studied factor. Then a model was created that took into account the impact of different characteristics available on different level of aggregation, which may be helpful in the actions aimed at improvement of road safety in respective regions.

COMPARISON METHODS OF MODELING CONTINUOUS RANDOM VARIABLES ON EMPIRICAL DISTRIBUTIONS

The new method of modeling of continuous random variables on empirical distributions offered. It shown, that discrepancy of accuracy of methods to shown requirements is shown at small number of realizations of random variables, reduced to not casual divergence of estimations of averages and average quadratic values empirical given and modeled samples.

DECREASE IN RISK ERRONEOUS CLASSIFICATION THE MULTIVARIATE STATISTICAL DATA DESCRIBING

THE TECHNICAL CONDITION OF THE EQUIPMENT OF POWER SUPPLY SYSTEMS

Objective estimation of parameters of individual reliability is an indispensable condition of an opportunity of decrease in operational expenses for maintenance service and repair of the equipment and devices of electro power systems. The method of decrease in risk of erroneous classification of multivariate statistical data offered. The method based on imitating modeling and the theory of check of statistical hypotheses.