dorsal/arxiv
View SchemaStatistical inference and modeling with the S distribution
| Authors | Sergej V. Aksenov, Michael A. Savageau |
|---|---|
| Categories | |
| ArXiv ID | physics/0112046 |
| URL | https://arxiv.org/abs/physics/0112046 |
Abstract
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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"date_created": "2026-03-02T18:00:39.550000Z",
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"abstract": "We consider the problem of statistical inference for the S distribution and\nintroduce new minimum distance estimators for the four parameters of the S\ndistribution using Kolmogorov-Smirnov, Cramer-von Mises and related distance\nmetrics. Approximate goodness-of-fit and confidence intervals for parameters\nare calculated using bootstrap methods. We discuss further how the S\ndistribution can be used to solve various problems of statistical modeling\nassociated with parameter inference, including goodness-of-fit tests, Monte\nCarlo simulations and modeling trends in the distributions.",
"arxiv_id": "physics/0112046",
"authors": [
"Sergej V. Aksenov",
"Michael A. Savageau"
],
"categories": [
"physics.data-an"
],
"title": "Statistical inference and modeling with the S distribution",
"url": "https://arxiv.org/abs/physics/0112046"
},
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