@misc{Hryniewicz_Olgierd_(1948–_)_Automatyka,_2002, author={Hryniewicz, Olgierd (1948– )}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Książka = Book}, howpublished={online}, year={2002}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={A stable non stationary linear system is considered. A quality criterion is represented by a functional in the integral form of the sum of positive polynomiaes with respect to the state variables and squared control. lt is proved that the optima[ control is an irrational Junction of polynomial depending on the state variables. The minimum value of performance index can have two forms: the hyperelliptic integral or polynomial depending on the initial state. In the presence of a prior information about the probability distribution that governs the random output of a statistical experiment we use the Bayes decisions methodology for verification of certain statistical hypotheses. In the case of precise statistical data or imprecise data described by a fuzzy information system the existing methodology is sufficient for testing of statistical hypotheses. In this paper we propose a new procedure that can be applied for the generał fuzzy statistical data. Concepts known from of the possibility theory, such as possibility and necessity indices, have been used in order_ to evaluate the correctness of Bayes decisions for imprecisely (e.g. linguistically) defined statistical data.}, title={Automatyka, sterowanie, zarządzanie : książka jubileuszowa z okazji 70-lecia urodzin profesora Kazimierza Mańczaka * Bayesowska weryfikacja hipotez statystycznych przy nieprecyzyjnych danych eksperymentalnych}, type={Text}, URL={http://www.rcin.org.pl/Content/206688/PDF/KS-2002-01-P05.pdf}, }