Pregled bibliografske jedinice broj: 916662
A Note on Weighted Least Square Distribution Fitting and Full Standardization of the Empirical Distribution Function
A Note on Weighted Least Square Distribution Fitting and Full Standardization of the Empirical Distribution Function // Test, 27 (2018), 4; 946-967 doi:10.1007/s11749-018-0578-2 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 916662 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A Note on Weighted Least Square Distribution Fitting and Full Standardization of the Empirical Distribution Function
Autori
Barron, Andrew ; Benšić, Mirta ; Sabo, Kristian
Izvornik
Test (1133-0686) 27
(2018), 4;
946-967
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
weighted least squares ; minimum chi-square ; empirical distribution ; distribution fitting
Sažetak
The relationship between the norm square of the standardized cumulative distribution and the chi-square statistic is examined using the form of the covariance matrix as well as the projection perspective. This investigation enables us to give uncorrelated components of the chi-square statistic and to provide interpretation of these components as innovations standardizing the cumulative distribution values. The norm square of the standardized difference between empirical and theoretical cumulative distributions is also examined as an objective function for parameter estimation. Its relationship to the chi-square distance enables us to discuss the large sample properties of these estimators and a difference in their properties in the cases that the distribution is evaluated at fixed and random points.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-6545 - Optimizacijski i statistički modeli i metode prepoznavanja svojstava skupova podataka izmjerenih s pogreškama (OSMoMeSIP) (OSMoMeSIP) (Scitovski, Rudolf, HRZZ ) ( CroRIS)
HRZZ-IP-2016-06-6777 - Utjecaj prehrambenih vlakana na bioraspoloživost polifenola istraživanjem adsorpcije i simuliranih probavnih procesa, in vitro (BIO-POLIFENOL) (Jakobek Barron, Lidija, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
- EconLit
Uključenost u ostale bibliografske baze podataka::
- ABI/INFORM
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Current Index to Statistics
- EBSCO Discovery Service
- Expanded Academic
- Gale
- Gale Academic OneFile
- Google Scholar
- ICYT
- JCR/Science Edition
- Mathematical Reviews
- OCLC WorldCat Discovery Service
- ProQuest
- RePEc
- Statistics & Probability
