S分布的统计推断和建模
Statistical inference and modeling with the S distribution
摘要：
我们考虑S分布的统计推断问题，并引入新的最小距离估计的四个参数的S分布使用Kolmogorov-Smirnov，Cramer-von Mises和相关的距离度量。近似拟合优度和置信区间的参数计算使用自助法。我们将进一步讨论如何S分布可以用来解决各种问题的统计建模与参数推断，包括拟合优度检验，蒙特卡罗模拟和建模趋势的分布。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
