### Interval estimates of the solution statistical model of management

#### Abstract

**Create a model of managing a complex system based on statistical data and find the optimal management solution.**

*Goal.***The construction of a statistical model of a complex system that reflects the whole range of its parameters and relationships is the subject of many studies. All of them are based on methods of mathematical statistics and lead to the model of multiple regression [1,2,4]. The aim of the simulation is not only to evaluate the parameters of the system's operation, but also to manage it. This leads to the need to solve the problem of stochastic programming [3]. There is no single analytical method for solving such problems.**

*Method.*The paper outlines one of the approaches that allows solving the problem of finding the best control with the help of the simulation model considering the consideration of interval regression estimates as a random effect provided by the mathematical model of stochastic programming. This allows us to find not only point estimates of the deterministic optimal solution, which occurs when reducing the problem of stochastic programming to the problem of nonlinear programming.

**The application of the proposed method leads to the receipt of interval estimates of the controlled variables and the target function of the optimization problem, corresponding to the interval estimates of the regression of the explained parameters on the explanatory parameters.**

*Results.***A method for solving the control problem of a complex system is proposed, which makes it possible to take into account the stochastic nature of the model and to find not only point, but also interval estimates of the optimal solution.**

*Scientific novelty.***Interval estimates of the decision of the statistical model, taking into account the random spread of statistical data, are necessary for making the right decision when choosing the parameters of the system being designed, which will allow to take into account possible undesirable random effects.**

*Practical significance.*#### Keywords

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