ABSTRACT
The model of the operation process of the complex technical system with the distinguished their operation states is proposed in (Kolowrocki & Soszynska, 2008). The semi-markov process is used to construct a general probabilistic model of the considered complex industrial system operation process. To construct this model there were defined the vector of the probabilities of the system initial operation states, the matrix of the probabilities of transitions between the operation states, the matrix of the distribution functions and the matrix of the density functions of the conditional sojourn times in the particular operation states. To describe the system operation process conditional sojourn times in the particular operation states the uniform distribution, the triangular distribution, the double trapezium distribution, the quasi-trapezium distribution, the exponential distribution, the Weibull’s
and the chimney in (Kolowrocki & Soszynska, 2008). In this paper, the formulae estimating unknown parameters of these distributions are presented and the chi-square test (Rice, 2007, Stapleton, 2009) is applied to verifying the hypotheses about these distributions validity.
