Mean, mode or median? The score mean
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00538510" target="_blank" >RIV/67985807:_____/21:00538510 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03610926.2019.1666142" target="_blank" >http://dx.doi.org/10.1080/03610926.2019.1666142</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03610926.2019.1666142" target="_blank" >10.1080/03610926.2019.1666142</a>
Alternative languages
Result language
angličtina
Original language name
Mean, mode or median? The score mean
Original language description
A continuous random variable can be uniquely represented by the score function of distribution, i.e. a scalar-valued function describing the influence of a data item on the typical value of the distribution. There are at most two relevant scalar-valued scores based on two basic transformations: the “natural” one, useful for estimating parameters of parametric distributions by the generalized moment method, and the “universal” one, which is a basis for the score function of distribution. The score mean, the zero of the score function of distribution, represents the typical value of the distribution in the sense of the value which is most likely to be sampled. Both scores are often identical to each other. The derivative of the score function of distribution is the weight function of this distribution. The main result is that sums of score random variables obey the central limit theorem and can be used for directly estimating the score mean without use of any current estimator.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Statistics - Theory and Methods
ISSN
0361-0926
e-ISSN
1532-415X
Volume of the periodical
50
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
2360-2370
UT code for WoS article
000502223100001
EID of the result in the Scopus database
2-s2.0-85076411480