The unit extended Weibull families of distributions and its applications

© 2020 Informa UK Limited, trading as Taylor & Francis Group.

Bibliographische Detailangaben
Veröffentlicht in:Journal of applied statistics. - 1991. - 48(2021), 16 vom: 01., Seite 3174-3192
1. Verfasser: Guerra, Renata Rojas (VerfasserIn)
Weitere Verfasser: Peña-Ramírez, Fernando A, Bourguignon, Marcelo
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2021
Zugriff auf das übergeordnete Werk:Journal of applied statistics
Schlagworte:Journal Article 60E05 Extended Weibull distribution maximum likelihood estimation moments unit distributions well-being indicators
LEADER 01000caa a22002652 4500
001 NLM342286498
003 DE-627
005 20240826232321.0
007 cr uuu---uuuuu
008 231226s2021 xx |||||o 00| ||eng c
024 7 |a 10.1080/02664763.2020.1796936  |2 doi 
028 5 2 |a pubmed24n1513.xml 
035 |a (DE-627)NLM342286498 
035 |a (NLM)35707261 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a Guerra, Renata Rojas  |e verfasserin  |4 aut 
245 1 4 |a The unit extended Weibull families of distributions and its applications 
264 1 |c 2021 
336 |a Text  |b txt  |2 rdacontent 
337 |a ƒaComputermedien  |b c  |2 rdamedia 
338 |a ƒa Online-Ressource  |b cr  |2 rdacarrier 
500 |a Date Revised 26.08.2024 
500 |a published: Electronic-eCollection 
500 |a Citation Status PubMed-not-MEDLINE 
520 |a © 2020 Informa UK Limited, trading as Taylor & Francis Group. 
520 |a In this paper, two new general families of distributions supported on the unit interval are introduced. The proposed families include several known models as special cases and define at least twenty (each one) new special models. Since the list of well-being indicators may include several double bounded random variables, the applicability for modeling those is the major practical motivation for introducing the distributions on those families. We propose a parametrization of the new families in terms of the median and develop a shiny application to provide interactive density shape illustrations for some special cases. Various properties of the introduced families are studied. Some special models in the new families are discussed. In particular, the complementary unit Weibull distribution is studied in some detail. The method of maximum likelihood for estimating the model parameters is discussed. An extensive Monte Carlo experiment is conducted to evaluate the performances of these estimators in finite samples. Applications to the literacy rate in Brazilian and Colombian municipalities illustrate the usefulness of the two new families for modeling well-being indicators 
650 4 |a Journal Article 
650 4 |a 60E05 
650 4 |a Extended Weibull distribution 
650 4 |a maximum likelihood estimation 
650 4 |a moments 
650 4 |a unit distributions 
650 4 |a well-being indicators 
700 1 |a Peña-Ramírez, Fernando A  |e verfasserin  |4 aut 
700 1 |a Bourguignon, Marcelo  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t Journal of applied statistics  |d 1991  |g 48(2021), 16 vom: 01., Seite 3174-3192  |w (DE-627)NLM098188178  |x 0266-4763  |7 nnns 
773 1 8 |g volume:48  |g year:2021  |g number:16  |g day:01  |g pages:3174-3192 
856 4 0 |u http://dx.doi.org/10.1080/02664763.2020.1796936  |3 Volltext 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 48  |j 2021  |e 16  |b 01  |h 3174-3192