- AhrensJ. H. and DieterU. (1974). Computer methods for sampling from gamma, beta, Poisson and binomial distributions. Computing, 12, 223–246.
- AhrensJ. H. and DieterU. (1980). Sampling from binomial and Poisson distributions. A method with bounded computational times. Computing, 25, 193–208.
- AhrensJ. H. and DieterU. (1982). Computer generation of Poisson deviates from modified normal distributions. ACM Transactions on Mathematical Software, 8, 163–170.
- ArnasonA. N. (1974). Computer generation of Cauchy variates. Proceedings of the Fourth Manitoba Conference of Numerical Mathematics, edited by WilliamsH. C. and HarknessB. L.. Utilitas Mathematica Publishing, WinnipegCanada, 177–199.
- BartelsR. (1978). Generating non-normal stable variates using limit theorem properties. Journal of Statistical Computation and Simulation, 7, 199–212.
- BestD. J. (1978). A simple algorithm for the computer generation of random samples for a student's t or symmetric beta distribution. COMPSTAT, Physical-Verlog, Vienna, 341–347.
- BestD. J. (1983). A note on gamma variate generators with shape parameters less than unity. Computing, 30, 185–188.
- BestD. J. and FisherN. I. (1979). Efficient simulation of the Von Mises distribution. Applied Statistics, 28, 152–157.
- BoxG. E. P. and MullerM. E. (1958). A note on the generation of random normal deviates. Annals of Mathematical Statistics, 29, 610–611.
- BurrI. W. (1942). Cumulative frequency functions. Annals of Mathematical Statistics 13, 215–232.
- ChambersJ. M., MallowsC. L. and StuckB. W. (1976). A method for simulating stable random variables. Journal of the American Statistical Association, 71, 340–344.
- ChayS. C., FardoR. D. and MazumdarM. (1975). On Using the Box-Muller transformation with multiplicative congruential pseudo-random number generators. Applied Statistics, 24, 132–135.
- ChengR. C. H. (1978). Generating beta variates with non-integral shape parameters. Communications of the ACM, 21, 317–322.
- ChengR. C. H. and FeastG. M. (1979). Some simple gamma variate generators. Applied Statistics, 28, 290–295.
- ChengR. C. H. and FeastG. M. (1980). Gamma variate generators with increased shape parameter range. Communications of the ACM, 23, 389–393.
- DeakI. (1981). An economical method for random number generation and a normal generator. Computing, 27, 113–121.
- DevroyeL. (1980). Generating the maximum of independent identically distributed random variables. Computers and Mathematics with Applications, 6, 305–315.
- DevroyeL. (1981). The series method for random variate generation and its application to the Kolmogorov-Smirnov distribution. American Journal of Mathematical and Management Sciences, 1, 359–379.
- DevroyeL. and NaderisamaiA. (1980). A binomial random variate generator. Technical Report, McGill University.
- DudewiczE. J. and RalleyT. G. (1981). The handbook of random number generation and testing with TESTRAND computer code. American Science Press, Columbus, OhioU.S.A.
- FishmanG. S. (1976). Sampling from the Poisson distribution on a computer. Computing, 17, 147–156.
- FishmanG. S. (1978). Sampling from the multinomial distribution on a computer. Technical Report # 78–5, curriculum in operations research and systems analysis. University of North Carolina, Chapel Hill.
- FishmanG. S. (1979). Sampling from the binomial distribution on a computer. Journal of the American Statistical Association, 74, 418–423.
- GerontidisI. and SmithR. L. (1982). Monte carlo generation of order statistics from general distributions. Applied Statistics, 31, 238–243.
- GoldsteinN. (1963). Random numbers from the extreme value distribution. Publications de 1'Institut Statistique de 1' Universite' de Paris, 12, 137–158.
- HoF. C. M., GentleJ. E., and KennedyW. J. (1979). Generation of random variates from the multinomial distribution. Proceedings of the statistical computing section, American Statistical Association, 336–339.
- HoggR. V. and CraigA. T. (1970). Introduction to Mathematical Statistics, 3rd Ed. MacMillam Publishing Company, New York.
- JohnsonM. E. (1979). Computer generation of the exponential power distributions. Journal of Statistical Computation and Simulation, 9, 239–240.
- JohnsonN. L. (1947). Systems of frequency curves generated by methods of translation. Biometrika, 36, 149–176.
- JohnsonN. L. and KotzS. S. (1969). Discrete Distributions, Houghton-Mifflin Company, Boston.
- KachitvichyanukulV. (1982). Computer generation of Poisson, binomial, and hypergeometric random variates. Ph.D. Thesis, School of Industrial Engineering, Purdue University.
- KindermanA. J. and MonahanJ. F. (1977). Computer generation of random variables using the ratio of uniform deviates. ACM Transactions on Mathematical Software, 3, 257–260.
- KindermanA. J. and MonahanJ. F. (1980). New Methods for generating student's t and gamma variables. Computing, 23, 369–377.
- KindermanA. J. and RamageJ. G. (1976). Computer generation of normal random variables. Journal of the American Statistical Association, 71, 893–896.
- KindermanA. J., MonahanJ. F. and RamageJ. G. (1977). Computer methods for sampling from student's t distribution. Mathematics of Computation, 31, 1009–1018.
- KronmalR. A. and PetersonA. V.Jr. (1979). On the alias method for generating random variables from a discrete distribution. American Statistician, 33, 214–218.
- KronmalR. A. and PetersonA. V.Jr. (1981). A variant of the acceptance-rejection method for computer generation of random variables. Journal of the American Statistical Association, 76, 446–451.
- LurieD. and HartleyH. O. (1972). Machine generation of order statistics for monte carlo computations. American Statistician, 26, 26–27.
- LurieD. and MasonR. L. (1973). Empirical investigation of general techniques for computer generation of order statistics. Communications in Statistics, 2, 363–371.
- MarsagliaG. (1980). Generating random variables with a t distribution. Mathematics of Computation, 34, 235–236.
- MarsagliaG. and BrayT. A. (1964). A convenient method for generating normal variables. SIAM Review, 6, 260–264.
- MarsagliaG., MacLarenM. D. and BrayT. A. (1964). A fast procedure for generating random normal variables. Communications of the ACM, 7, 4–10.
- MichaelJ. R., SchucanyW. R. and HaasR. W. (1976). Generating random variates using transformations with multiple roots. The American Statistician, 30, 88–90.
- MonahanJ. F. (1979). Extensions of von Neumann's method for generating random variables. Mathematics of Computation, 33, 1065–1069.
- PearsonK. (1895). Contributions to the mathematical theory, of evolution, II, skew variations in homogeneous material. Philosophical Transactions of the Royal Society, London, Series A, 186, 343–414.
- RambergJ. S., TadikamallaP. R., DudewiczE. J. and MykytkaF. (1979). A probability distribution and its uses in fitting data. Technometrics, 21, 201–214.
- RambergJ. S. and SchmeiserB. W. (1974). An approximate method for generating asymmetric random variables. Communications of the ACM, 17, 78–82.
- RambergJ. S. and TadikamallaP. R. (1978). On generation of subsets of order statistics. Journal of Statistical Computation and Simulation, 6, 239–241.
- ReederH. A. (1972). Machine generation of order statistics. American Statistician, 26, 56–57.
- RellesD. (1972). A simple algorithm for generating binomial random variables when H is large. Journal of the American Statistical Association, 67, 612–613.
- SchmeiserB. W. (1978a). Order statistics in digital computer simulation. A survey. Proceedings of the 1978 Winter Simulation Conference. 136–140.
- SchmeiserB. W. (1978b). Generation of the maximum (minimum) value in digital computer simulation. Journal of Statistical Computation and Simulation, 8, 103–115.
- SchmeiserB. W. (1980). Random variate generation. A survey. Proceedings of the 1980 Winter Simulation Conference. 79–104.
- SchmeiserB. W. (1983). Recent advances in generating observations from discrete random variables. Proceedings of Computer Science and Statistics 15th Symposium, Interface, North-Holland (forth coming).
- SchmeiserB. W. and BabuA. J. G. (1980). Beta variate generation via exponential majorizing functions. Operations Research, 28, 917–926.
- SchmeiserB. W. and DeutchS. J. (1977). A versatile four parameter family of probability distributions suitable for simulation. AIIE Transactions, 9, 176–182.
- SchmeiserB. W. and KachitvichyanukulVoratas. (1983). Poisson random variate generation. Technical Report. School of Industrial Engineering, Purdue University.
- SchmeiserB. W. and LaiR. (1980). Squeeze methods for generating gamma variates. Journal of the American Statistical Association, 75, 679–682.
- SchucanyW. R. (1972). Order Statistics in Simulation. Journal of Statistical Computation and Simulation, 1, 281–286.
- StacyA. W. (1962). A generalization the gamma distribution. Annals of Mathematical Statistics, 33, 1187–1192.
- StadloberE. (1981). Generating Student's t variates by a modified rejection method. Proceedings of 2nd Pannonian Symposium on mathematical statistics, June 14–20.
- TadikamallaP. R. (1979). Random sampling from the generalized gamma distribution. Computing, 23, 199–203.
- TadikamallaP. R. (1980a). Random sampling from the exponential power distribution. Journal of the American Statistical Association, 75, 683–686.
- TadikamallaP. R. (1980b). A look at the Burr and related distributions. International Statistical Review, 48, 337–344.
- TadikamallaP. R. (1980c). On simulating non-normal distributions. Psychometrika, 45, 273–279.
- TadikamallaP. R. and JohnsonM. E. (1981). A complete guide to gamma variate generation. American Journal of Mathematical and Management Sciences, 1, 213–236.
- TadikamallaP. R. and JohnsonN. L. (1982). Systems of frequency curves generated by transformations of logistic variables. Biometrika, 69–461–465.
- WalkerA. J. (1974). New fast method for generating discrete random numbers with arbitrary frequency distribution. Electronic Letters, 10, 127–128.
- WalkerA. J. (1977). An efficient method for generating discrete random variables with general distributions. ACM Transactions on Mathematical Software, 3, 253–256.
Modeling and Generating Stochastic Inputs for Simulation Studies
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