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Pozycja Folia Oeconomica Cracoviensia, Vol. LIV(Krakowska Akademia im. Andrzeja Frycza Modrzewskiego, Polska Akademia Nauk - Oddział w Krakowie - Komisja Nauk Ekonomicznych i Statystyki, 2013) Paszek, Zbigniew; Osiewalska, Anna; Osiewalski, Jacek; Steczkowski, Jan; Borys, Tadeusz; Wawrzynek, Jerzy; Hryniewicz, Olgierd; Wywiał, Janusz; Stefanów, Piotr; Podolec, Barbara; Chodyński, Andrzej; Osiewalski, JacekPozycja Statystyczne sterowanie procesami o danych stochastycznie zależnych - Pułapki rozwiązań standardowych(Oficyna Wydawnicza AFM, 2013) Hryniewicz, OlgierdShewhart control charts are the most frequently used tools of statistical process control. In their standard form they are designed under the assumption that consecutive observations are statistically independent and described by the normal distribution. When these assumptions are not fulfilled statistical properties of the Shewhart control charts are different from those assumed for the design purposes. When consecutive observations are not independent the properties of some Shewhart control charts have been investigated only in the case of classic autoregression processes. Hryniewicz (2012) considered the influence of the type of dependence, described in terms of copulas, on the properties of the Shewhart charts for monitoring the mean value of the process. In this paper some results from Hryniewicz (2012) have been recalled. Some new results, obtained for the R -chart used for the control of the variability of a process, have been presented.