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Score Function of Distribution and Revival of the Moment Method
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SYSNO ASEP 0458402 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Score Function of Distribution and Revival of the Moment Method Author(s) Fabián, Zdeněk (UIVT-O) SAI, RID Source Title Communications in Statistics - Theory and Methods. - : Taylor & Francis - ISSN 0361-0926
Roč. 45, č. 4 (2016), s. 1118-1136Number of pages 19 s. Language eng - English Country US - United States Keywords characteristics of distributions ; data characteristics ; general moment method ; Huber moment estimator ; parametric methods ; score function Subject RIV BB - Applied Statistics, Operational Research R&D Projects LG12020 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UIVT-O - RVO:67985807 UT WOS 000370612900020 EID SCOPUS 84958068896 DOI 10.1080/03610926.2013.857688 Annotation The article deals with the scalar-valued score function defined for any regular unimodal and continuous probability distribution with arbitrary interval support, recently introduced by the author. Function values describe the relative influence of observed values under the given model with respect to a certain 'center point' of the distribution. By means of the function is introduced a generalized moment method of parametric estimation, giving estimates with a 'natural' tradeoff between efficiency a robustness. Inference function used in the estimating equations is either the bounded score function of distribution of heavy-tailed models or its simple modification based on the Huber’s approach if the function is unbounded. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2017
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