PL EN


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
  • Alloway J.A., Raghavachari M. (1991): Control Chart Based on the Hodges-Lehmann Estimator. "Journal of Quality Technology", s. 336-347.
  • 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
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.