Mean, mode or median? The score mean

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Mean, mode or median? The score mean

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Mean, mode or median? The score mean

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Communications in Statistics - Theory and Methods

ISSN

0361-0926

e-ISSN

1532-415X

Svazek periodika

50

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

2360-2370

Kód UT WoS článku

000502223100001

EID výsledku v databázi Scopus

2-s2.0-85076411480