Recognition of continuous probability models

It is well known that randomness is present in daily life and that often it is desirable to recognize inherent characteristics of this randomness. Probability theory describes a quantification of the uncertainty associated with this randomness. Based on probability theory, the present research describes an alternative methodology to the traditional statistical method of the recognition of the probabilistic models that best represent randomness. The main motivation of the methodology is to keep the largest possible amount of information present in the data. This methodology differs from the traditional statistical method, mainly in aspects related to the division of the data into classes when the data are continuous.

[1]  Raj Jain,et al.  The art of computer systems performance analysis - techniques for experimental design, measurement, simulation, and modeling , 1991, Wiley professional computing.

[2]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[3]  David Lindley,et al.  Introduction to the Practice of Statistics , 1990, The Mathematical Gazette.

[4]  Robert V. Brill,et al.  Applied Statistics and Probability for Engineers , 2004, Technometrics.

[5]  D. A. Preece,et al.  An introduction to the statistical analysis of data , 1979 .

[6]  Eric R. Ziegel,et al.  Engineering Statistics , 2004, Technometrics.

[7]  Kristiaan Kerstens,et al.  Returns to Scale on Nonparametric Deterministic Technologies: Simplifying Goodness-of-Fit Methods Using Operations on Technologies , 2000 .

[8]  D. Varberg,et al.  Calculus with Analytic Geometry , 1968 .

[9]  M. Kendall Elementary Statistics , 1945, Nature.

[10]  The Chi-Square : a Large-Sample Goodness of Fit Test , .

[11]  H. J. Arnold Introduction to the Practice of Statistics , 1990 .

[12]  S. Jørgensen The art of computer systems performance analysis: Techniques for Experimental Design, Measurement, Simulation and Modeling. Raj Jain. John Wiley, New York. Hardcover, 720 p. U.S. $52.95. , 1992 .

[13]  L. Jankauskas,et al.  Bestfit, distribution fitting software by palisade corporation , 1996, Proceedings Winter Simulation Conference.

[14]  Valen E. Johnson,et al.  A Bayesian Chi-Squared Test for Goodness of Fit , 2004 .

[15]  Ray Jain,et al.  The art of computer systems performance analysis - techniques for experimental design, measurement, simulation, and modeling , 1991, Wiley professional computing.