Visualizing input and output analysis for simulation (VINOAS)

Abstract Input analysis which involves a large amount of statistical analysis is one of the major steps in simulation. A software package with a well-designed user-friendly graphical window interface has been developed to assist modelers in identifying the underlying statistical distribution of the input data. It integrates techniques for assessing sample independence, hypothesizing families of distributions, estimation of parameters, and performing goodness-of-fit tests in a graphical environment. This allows the modelers to use the package in an interactive way and efforts can be saved in specifying the input probability distribution.

[1]  H. Lilliefors.  On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown , 1967 .

[2]  Michael A. Stephens,et al.  Goodness of fit for the extreme value distribution , 1977 .

[3]  R. Beckman,et al.  Maximum likelihood estimation for the beta distribution , 1978 .

[4]  H. Lilliefors.  On the Kolmogorov-Smirnov Test for the Exponential Distribution with Mean Unknown , 1969 .

[5]  D. Deriggi.  Unimodality of Likelihood Functions for the Binomial Distribution , 1983 .

[6]  T. J. Dekker,et al.  Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function , 1975, TOMS.

[7]  James K. Yarnold,et al.  The Minimum Expectation in X 2 Goodness of Fit Tests and the Accuracy of Approximations for the Null Distribution , 1970 .

[8]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[9]  James Gettys,et al.  X window system (3rd ed.): the complete reference to Xlib, X Protocol, ICCCM, XLFD , 1990 .

[10]  H. Chernoff,et al.  The Use of Maximum Likelihood Estimates in {\chi^2} Tests for Goodness of Fit , 1954 .

[11]  Michael A. Stephens,et al.  Asymptotic Results for Goodness-of-Fit Statistics with Unknown Parameters , 1976 .

[12]  D. G. Beech,et al.  Handbook of Statistical Tables. , 1962 .

[13]  B. F. Schriever,et al.  The Number of Classes in Chi-Squared Goodness-of-Fit Tests , 1985 .

[14]  John K. Ousterhout,et al.  Tcl and the Tk Toolkit , 1994 .

[15]  Averill M. Law,et al.  Simulation Modeling & Analysis , 1991 .

[16]  M. Stephens.  EDF Statistics for Goodness of Fit and Some Comparisons , 1974 .

[17]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[18]  R. Gnanadesikan,et al.  Maximum Likelihood Estimation of the Parameters of the Beta Distribution from Smallest Order Statistics , 1967 .

[19]  Ramon C. Littell,et al.  Goodness-of-fit tests for the two parameter Weibull distribution , 1979 .

[20]  N. Singpurwalla,et al.  Kolmogorov Statistics for Tests of Fit for the Extreme-Value and Weibull Distributions , 1981 .

[21]  D. Darling,et al.  A Test of Goodness of Fit , 1954 .

[22]  Armido R. Didonato,et al.  Computation of the incomplete gamma function ratios and their inverse , 1986, TOMS.