Monitoring of mean for asymmetric distributions

• Autorzy: Gądek M. K. , Szajowski K. J.

Identyfikatory

DOI

10.14708/ma.v46i1.6373

Warianty tytułu

PL

Karty kontrolne dla cech asymetrycznych

• Języki publikacji: EN

Abstrakty

EN

The subject of consideration will be control charts for the mean of the Rayleigh distribution. Starting from various interval estimators of the mean of this distribution, the possibilities of adapting the constructed algorithms to monitor the indicated behaviors of the observed feature will be shown. We also pay attention to potential computational difficulties and indicate ways to mitigate them. The proposed solution is part of the recent work on monitoring asymmetric random values. Controlling a process that exhibits asymmetry is a more difficult task than monitoring symmetric features (v. Figueiredo & Gomes (2013) ). The potential applications are to construct a chart to control the pulse which is definitely an asymmetrical process. Three control charts were constructed: to monitor average and grand mean of Rayleigh distribution and grand mean based on its approximation by the Gaussian distribution.

PL

Rozważane będą modele matematyczne, w których zmiana parametru jest przedmiotem badań statystycznych. Specjalizowanym narzędziem do tego celu są karty kontrolne. Celem pracy jest konstrukcja kart kontrolnych do badania zmian parametru rozkładu obserwowanej cechy w oparciu o dokładne rozkłady różnych estymatorów parametrów kontrolowanych wielkości i ich porównanie.

Słowa kluczowe

EN

control chart; asymmetric distribution; Rayleigh distribution

PL

karta kontrolna; rozkład asymetryczny; rozkład Rayleigha

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2018
• Tom: Vol. 46, no. 1
• Strony: 59--75
• Opis fizyczny: Bibliogr. 23 poz., fot., wykr.

Twórcy

autor

Gądek M. K.

• Wrocław University of Science and Technology, Faculty of Pure and Applied Mathematics, Wybrzeże Wyspiańskiego 27, Wrocław 50-370, Poland

autor

Szajowski K. J.

• Wrocław University of Science and Technology, Faculty of Pure and Applied Mathematics, Wybrzeże Wyspiańskiego 27, Wrocław 50-370, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).