Statistical inference and modeling with the S distribution

Details Statistical inference and modeling with the S distribution Statistical inference and modeling with the S distribution

2001-12-17

arxiv.org/abs/physics/0112046v1

Physics

Data Analysis, Statistics and Probability

22 pages, 1 Postscript figure, uses rotating.sty, harvard.sty Submitted to Journal of Statistical Computation and Simulation

Scientific paper

We consider the problem of statistical inference for the S distribution and introduce new minimum distance estimators for the four parameters of the S distribution using Kolmogorov-Smirnov, Cramer-von Mises and related distance metrics. Approximate goodness-of-fit and confidence intervals for parameters are calculated using bootstrap methods. We discuss further how the S distribution can be used to solve various problems of statistical modeling associated with parameter inference, including goodness-of-fit tests, Monte Carlo simulations and modeling trends in the distributions.

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