A measure of variability within parametric families of continuous distributions

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SYSNO ASEP	0567877
Document Type	J - Journal Article
R&D Document Type	The record was not marked in the RIV
Subsidiary J	Článek ve WOS
Title	A measure of variability within parametric families of continuous distributions
Author(s)	Fabián, Zdeněk (UIVT-O)_{SAI, RID}
Source Title	Communications in Statistics - Theory and Methods. - : Taylor & Francis - ISSN 0361-0926 Online 11 January 2023 (2024)
Number of pages	13 s.
Language	eng - English
Country	US - United States
Keywords	Scalar-valued score ; score mean ; score variance ; distance in the sample space
OECD category	Statistics and probability
Method of publishing	Open access
Institutional support	UIVT-O - RVO:67985807
UT WOS	000910123100001
EID SCOPUS	85146227373
DOI	10.1080/03610926.2022.2155792
Annotation	A new approach to theory of continuous probability distributions, based on scalar-valued score functions, offers the score mean as a finite typical value of distributions including the heavy-tailed ones. In the article, we define the score variance as a finite measure of variability of distributions with respect to the typical value and discuss its properties and methods of its estimation. By means of the square root of the score variance we introduce a generalized Rao distance in the sample space.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2025
Electronic address	https://dx.doi.org/10.1080/03610926.2022.2155792

Number of the records: 1