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Original Articles

Fitting the generalized lambda distribution to data: a method based on percentiles

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Pages 793-819 | Received 01 Mar 1998, Published online: 27 Jun 2007

References

  • Burr , I. W. 1973 . “Parameters for a General System of Distributions to Match a Grid of α3: and α4:“ . Comm. Statist , 2 : 1 – 21 .
  • Cooley , C. A. 1991 . “ Honors Project, Denison University. Available from ” . In The Generalized Lambda Distribution: Applications and Parameter Estimation , Granville, Ohio : Doan Library, Denison University . 43023
  • Dudewicz , E. J. and Karian , Z. A. 1985 . “ IEEE Computer Society ” . In Modern Design and Analysis of Discrete-Event Computer Simulations New York
  • Dudewicz , E. J. and Karian , Z. A. 1996 . “The Extended Generalized Lambda Distribution (EGLD) System for Fitting Distributions to data With Moments, II: Tables” . American Journal of Mathematical and Management Sciences , 16 ( 3 & 4 ) : 271 – 332 .
  • Dudewicz , E. J. and Karian , Z. A. 1999 . “Fitting the Generalized Lambda Distribution (GLD) System by a Method of Percentiles, II: Tables” . American Journal of Mathematical and Management Sciences , 19 ( 1 & 2 ) : 1 – 73 .
  • Dudewicz , E.J. and Mishra , S. N. 1988 . Modern Mathematical Statistics , New York : John Wiley & Sons .
  • Hahn , G.J. and Shapiro , S. S. 1967 . Statistical Models in Engineering New York : John Wiley & Sons, .
  • Karl , Pearson . 1933 . On a method of determining whether a sample of size n supposed to have been drawn from a parent population having a known probability integral has probably been drawn at random . Biometrika , 25 ( 2 ) : 379 – 410 .
  • Karian , Z. A. and Dudewicz , E. J. 2000 . Fitting Statistical Distributions to Data: The Generalized Lambda Distribution (GLD) and the Generalized Bootstrap (GB) Methods , Boca Raton, Florida : CRC Press . in progress
  • Karian , Z. A. , Dudewicz , E. J. and Mc Donald , P. 1996 . The Extended Generalized Lambda Distribution System for Fitting Distributions to Data: History, Completion of Theory, Tables, Applications, the ‘Final Word5 on Moment Fits . Communications in Statistics; Simulation and Computation , 25 ( 3 ) : 611 – 642 .
  • Mykytka , E. F. 1976 . “ Fitting a Distribution to Data Using an Alternative to Moments ” . In IEEE Proceedings of the 1976 Winter Simulation Conference 361 – 374 .
  • Olsson , D. M. and Nelson , L. S. 1975 . The Nelder-Mead Simplex Procedure for Function Minimization . Technometrics , 17 : 45 – 51 .
  • Ortega , J. M. and Rheinboldt , W. C. , eds. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , New yotrk : Academic Press .
  • Öztürk , A. and Dale , R. F. 1985 . least Squares Estimation of the Parameters of the Generalized Lambda Distribution . Technometrics , 27 : 81 – 84 .
  • Ramberg , J. S. , Dudewicz , E. J. , Tadikamalla , P. R. and Mykytka , E. F. 1979 . A Probability Distribution and Its Uses in Fitting Data . Technometrics , 27 : 201 – 214 .
  • Ramberg , J. S. and Schmeiser , B. W. 1972 . An Approximate Method for Generating Symmetric Random Variables . Comm. ACM , 15 : 987 – 990 .
  • Ramberg , J. S. and Schmeiser , B. W. 1974 . An Approximate Method for Generating Asymmetric Random Variables . Comm. ACM , 17 : 78 – 82 .
  • Tukey , J. W. 1960 . The Practical Relationship Between the Common Transformations of Percentages of Counts and of Amounts , Princeton University . Technical Report 36, Statistical Techniques Research Group, Princeton University.

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