On simulating non-normal distributions

Six different algorithms to generate widely different non-normal distributions are reviewed. These algorithms are compared in terms of speed, simplicity and generality of the technique. The advantages and disadvantages of using these algorithms are briefly discussed.

[1]  Bruce W. Schmeiser,et al.  An approximate method for generating symmetric random variables , 1972, CACM.

[2]  W. H. Payne,et al.  Coding the Lehmer pseudo-random number generator , 1969, CACM.

[3]  A. J. Kinderman,et al.  Computer Generation of Normal Random Variables , 1976 .

[4]  Allen I. Fleishman.  A method for simulating non-normal distributions , 1978 .

[5]  Stuart Jay Deutsch,et al.  A Versatile Four Parameter Family of Probability Distributions Suitable for Simulation , 1977 .

[6]  Pandu R. Tadikamalla,et al.  A Look at the Burr and Related Distributioni , 1980 .

[7]  Norman L. Johnson,et al.  Tables to facilitate fitting SU frequency curves , 1965 .

[8]  D. Owen,et al.  Handbook of statistical distributions , 1978 .

[9]  Pandu R. Tadikamalla,et al.  A Probability Distribution and its Uses in Fitting Data , 1979 .

[10]  N. L. Johnson,et al.  Systems of frequency curves generated by methods of translation. , 1949, Biometrika.

[11]  E. S. Pearson.  Biometrika tables for statisticians , 1967 .

[12]  M. E. Muller,et al.  A Note on the Generation of Random Normal Deviates , 1958 .

[13]  Pandu R. Tadikamalla,et al.  Systems of frequency curves generated by transformations of logistic variables , 1982 .

[14]  Irving W. Burr,et al.  Pameters for a general system of distributions to match a grid of α3 and α4 , 1973 .

[15]  N. L. Johnson.  Systems of frequency curves derived from the first law of Laplace , 1955 .

[16]  R. Pro.  Handbook of statistical distributions por J. K. Patel, C. H. Kapadia y D. B. Owen. Edit , 1978 .

[17]  Norman L. Johnson,et al.  Some notes on tables to facilitate fitting SB curves , 1971 .

[18]  I. W. Burr.  Cumulative Frequency Functions , 1942 .