论文信息 - An algorithm for generating chi random variables - 字舞流文

An algorithm for generating chi random variables

An algorithm is presented for generating random variables from the chi family of distributions withdegrees of freedom parameter LY 2 1. It is based on the ratio of uniforms method and can be usedeffectively for the gamma family.

John F. Monahan

[1] Donald Ervin Knuth,et al. The Art of Computer Programming , 1968 .

[2] Albert J. Kinderman,et al. Computer Generation of Random Variables Using the Ratio of Uniform Deviates , 1977, TOMS.

[3] T. W. Anderson. An Introduction to Multivariate Statistical Analysis , 1959 .

[4] Russell C. H. Cheng,et al. Gamma variate generators with increased shape parameter range , 1980, CACM.

[5] A. Rossier. Letter to the Editor , 1986, Paraplegia.

[6] Linus Schrage,et al. A More Portable Fortran Random Number Generator , 1979, TOMS.

[7] P. A. W. Lewis,et al. A Pseudo-Random Number Generator for the System/360 , 1969, IBM Syst. J..

[8] M. Bartlett. XX.—On the Theory of Statistical Regression. , 1934 .