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2014 | 203 | 114-124

Article title

O optymalizacji procedury Slifkera i Shapiro estymacji krzywych Johnsona

Authors

Content

Title variants

EN
Optimization of Procedure Slifker and Shapiro for Johnson Curves Estimation

Languages of publication

PL

Abstracts

EN
In the statistical process control the assumption of normal distribution is widely used. But in practical this assumption is often unfulfilled. In this situation appropriate transformation or nonclassical method should be used. The most commonly used methods of transformation are the curves Johnson. The most important problem with the use of Johnson curves is estimation of parameter and form of curves. This paper presents improvement of Slifker and Shapiro procedure (1980) by construction of optimization model based on chi-square statistic.

Year

Volume

203

Pages

114-124

Physical description

Contributors

References

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  • Bukac J. (1972): Fitting SB Curves Using Symmetrical Percentile Points. "Biometrika", 59, s. 688-690.
  • Janacek G.J., Meikle S.E. (1997): Control Charts Based on Medians. "Journal of Royal Statistical Society", series D, s. 19-31.
  • Johnson N.L. (1949): System of Frequency Curves Generated by Methods of Translation. "Biometrika", 36, s. 149-176.
  • Johnson N.L., Kitchen J.O. (1971): Tables to Facilitate Fitting SB Curves II: Both Terminals Known. "Biometrika", 58, s. 657-663.
  • Kanji G.K., Osama Kasan Arif (2000): Median Rankit Control Chart by the Quantile Approach. "Journal of Applied Statistics", s. 757-770.
  • Peternek P. (2012): Wybrane karty kontrolne indywidualnych pomiarów. W: Zastosowanie metod ilościowych w ekonomii i zarządzaniu. CeDeWu, Warszawa, s. 249-260.
  • Ramberg J.S., Tadikmalla P.R., Dudewicz E.J., Mykytka EF. (1979): A Probability Distribution and Its Uses in Fitting Data. "Technometrics", Vol. 21, s. 201-214.
  • Schilling E.G., Nelson P.R. (1976): The Effect of No-normal on the Control Limits of x Charts. "Journal of Quality Technology", s. 183-188.
  • Slifker J.F., Shapiro S.S. (1980): The Johnson System: Selection and Parameter Estimation. "Technometrics", Vol. 22, s. 239-246.
  • Wheeler R.E. (1980): Quantile Estimators of Johnson Curve Parameters. "Biometrika", 67, s. 725-728.

Document Type

Publication order reference

Identifiers

ISSN
2083-8611

YADDA identifier

bwmeta1.element.desklight-950ceae8-af71-43d6-ab77-9cc15ab5892b
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