中文

Statistical inference and modeling with the S distribution

数据分析、统计与概率 2007-05-23 v1

摘要

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.

关键词

引用

@article{arxiv.physics/0112046,
  title  = {Statistical inference and modeling with the S distribution},
  author = {Sergej V. Aksenov and Michael A. Savageau},
  journal= {arXiv preprint arXiv:physics/0112046},
  year   = {2007}
}

备注

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