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A Measure of Variability WIthin Parametric Families of Continuous Distributions
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SYSNO ASEP 0560377 Document Type V - Research Report R&D Document Type The record was not marked in the RIV Title A Measure of Variability WIthin Parametric Families of Continuous Distributions Author(s) Fabián, Zdeněk (UIVT-O) SAI, RID Issue data Prague: ICS CAS, 2022 Series Technical Report Series number V-1287 Number of pages 20 s. Publication form Online - E Language eng - English Country CZ - Czech Republic Keywords scalar-valued score ; score mean ; score variance ; distance in the sample space Institutional support UIVT-O - RVO:67985807 Annotation A continuous probability measure on an open interval of the real line induces in it a unique geometry, "center of gravity" of which is the typical value of the distribution. In the paper is identified a score variance as a finite measure of variability of distributions with respect to the typical value and discussed its properties and methods of estimation. Itroducing a generalized Rao distance in the sample space one can appraise the precision of the estimate of the typical value. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2023
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