Unifying approach to score based statistical inference in physical sciences

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00335097" target="_blank" >RIV/68407700:21340/19:00335097 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1088/1742-6596/1391/1/012124" target="_blank" >https://doi.org/10.1088/1742-6596/1391/1/012124</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1742-6596/1391/1/012124" target="_blank" >10.1088/1742-6596/1391/1/012124</a>

Result language

angličtina

Original language name

Unifying approach to score based statistical inference in physical sciences

Original language description

In this contribution the statistical inference based on score functions is developed with the aim of future utilization throughout different fields of physics, for example in detector collision data processing or neutrino prongs matching. New score functions between theoretical and empirical probability measures are defined and the corresponding minimum score estimators are presented. We find that consistency of different estimators in various score functions leads to the well-known consistency in commonly used statistical distances or disparity measures between probability distributions. Conditions under which a specific score function pass to $phi$--divergence are formulated. Conversely, each $phi$--divergence is a score function. Furthermore, the minimization of arbitrary divergence score function leads to the classical histogram density estimator and thus can be used to alternative interpretation of histogram based calculations in (high energy) physics. The Kolmogorov-Smirnov testing statistics can be achieved through absolute score function under the class of mutually complement interval partitioning of the real line. It means that the most popular statistical methods, such as histogram estimation and Kolmogorov goodness of fit testing used in physics, can be covered by one unifying score based statistical approach. Also, these methods were previously successfully applied to data sets originated from the particular material elasticity testing (nondestructive defectoscopy) within Preisach-Mayergoyz space modeling.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10103 - Statistics and probability

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Physics Conference Series

ISSN

1742-6588

e-ISSN

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Volume of the periodical

1391

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

5

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85077813401