A Versatile Four Parameter Family of Probability Distributions Suitable for Simulation

Keywords

Exponential family, Statistical parameter, Inverse distribution, Bernoulli's principle, K-distribution

References

• Distributions in Statistics: Discrete Distributions.C. D. Kemp, Norman L. Johnson, S. Kotz — 1970
• Distribution Sampling for Computer SimulationThomas H. Lewis — 1975
• Erzeugung von betaverteilten und gammaverteilten ZufallszahlenM. D. Jöhnk — 1964
• Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous MaterialKarl Pearson — 1895
• III. Contributions to the mathematical theory of evolutionKarl Pearson — 1894
• An approximate method for generating symmetric random variablesJohn S. Ramberg, Bruce W. Schmeiser — 1972
• Cumulative Frequency FunctionsIrving W. Burr — 1942
• Systems of frequency curves generated by methods of translation.Norman L. Johnson — 1949
• Statistical Models in EngineeringNeil Cox — 1970
• The Art of SimulationC. M. Berners-Lee, K. D. Tocher, Richard Goodman — 1967
• Distributions in Statistics: Discrete Distributions.B. S. Everitt, N. L. Johnson, S. Kotz — 1970

Cited by

• Characterizing distributions by quantile measuresR.T.A. Wagemakers, J.J.A. Moors, Margo Janssens — 1992
• Estimating the demand uncertainty in single-period inventory problems using the Gompertz curve and the Schmeiser-Deutsch distribution.Pranom Srinopakoon — 1981
• A framework for the provision of online discrete event simulation for operational decision support in complex manufacturing environmentsMustafa Ramzi Salman — 2012
• ROBUST STATISTICAL METHODS FOR NON-NORMAL QUALITY ASSURANCE DATA ANALYSIS IN TRANSPORTATION PROJECTSMohammad Moin Uddin — 2011
• An implementation of an inventory model with stochastic lead timeR.M.J. Heuts, J.T.H.C. van Lieshout — 1984
• Investigating several alternatives for estimating the lead time demand distribution in a continuous review inventory modelL.W.G. Strijbosch, R.M.J. Heuts — 1994
• Characterizing systems of distributions by quantile measuresJ.J.A. Moors, R.T.A. Wagemakers, V.M.J. Coenen — 1996
• STATISTICAL PROPERTIES OF CONSTRUCTION DURATION DATASimaan AbouRizk, Daniel W. Halpin — 1992
• On simulating non-normal distributionsPandu R. Tadikamalla — 1980
• A comparison of several approximations to the lead time demand distributionPandu R. Tadikamalla — 1984
• Optimal solutions for stochastic inventory models when the lead-time demand distribution is partially specifiedHaim Shore — 1999
• Generation of the maximum (minimum) value in digital computer simulationBruce W. Schmeiser — 1978
• Optimal ordering policies with two suppliers when lead times and demands are all stochasticHon‐Shiang Lau, Long-Geng Zhao — 1993
• Estimating the lead‐time demand distribution for an autocorrelated demand by the pearson system and a normal approximationBong-Geun An, S. Fotopoulos, Min-Chiang Wang — 1989
• A review of the statistical foundation of a class of probabilistic planning modelsJohn F. Kottas, Hon‐Shiang Lau — 1980
• Dynamics of the output interval distribution in unpaced linesG.E. Martin, Hon‐Shiang Lau — 1990
• The effects of skewness and kurtosis of processing times in unpaced linesHON-SHIANG LAUf†, G.E. Martin — 1987
• The Use of Versatile Distribution Families in Some Stochastic Inventory CalculationsJohn F. Kottas, Hon‐Shiang Lau — 1980
• Modeling and Generating Stochastic Inputs for Simulation StudiesPandu R. Tadikamalla — 1984
• OPTIMUM SCHEDULE FOR PREVENTIVE MAINTENANCE: A GENERAL SOLUTION FOR A PARTIALLY SPECIFIED TIME‐TO‐FAILURE DISTRIBUTIONHaim Shore — 1996

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