Novel Closed‐Form Point Estimators for a Weighted Exponential Family Derived From Likelihood Equations

Fuente: Wiley Open Access
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Autori principali: Roberto Vila, Eduardo Nakano, Helton Saulo
Natura: Artículo Open Access
Pubblicazione: Wiley 2024
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author Roberto Vila
Eduardo Nakano
Helton Saulo
author_facet Roberto Vila
Eduardo Nakano
Helton Saulo
Roberto Vila
Eduardo Nakano
Helton Saulo
collection Wiley Open Access
contents Novel Closed‐Form Point Estimators for a Weighted Exponential Family Derived From Likelihood Equations Roberto Vila Eduardo Nakano Helton Saulo Stat ABSTRACTIn this paper, we propose and investigate closed‐form point estimators for a weighted exponential family. We also develop a bias‐reduced version of these proposed closed‐form estimators through bootstrap methods. Estimators are assessed using a Monte Carlo simulation, revealing favourable results for the proposed bootstrap bias‐reduced estimators. We illustrate the proposed methodology with the use of two real data sets. 10.1002/sta4.723 http://onlinelibrary.wiley.com/termsAndConditions#vor
doi_str_mv 10.1002/sta4.723
format Artículo Open Access
id wiley_oa_10_1002_sta4_723
institution Wiley Open Access
license_str_mv http://onlinelibrary.wiley.com/termsAndConditions#vor
publishDate 2024
publisher Wiley
record_format wiley_oa
spellingShingle Novel Closed‐Form Point Estimators for a Weighted Exponential Family Derived From Likelihood Equations
Roberto Vila
Eduardo Nakano
Helton Saulo
Stat
Novel Closed‐Form Point Estimators for a Weighted Exponential Family Derived From Likelihood Equations Roberto Vila Eduardo Nakano Helton Saulo Stat ABSTRACTIn this paper, we propose and investigate closed‐form point estimators for a weighted exponential family. We also develop a bias‐reduced version of these proposed closed‐form estimators through bootstrap methods. Estimators are assessed using a Monte Carlo simulation, revealing favourable results for the proposed bootstrap bias‐reduced estimators. We illustrate the proposed methodology with the use of two real data sets. 10.1002/sta4.723 http://onlinelibrary.wiley.com/termsAndConditions#vor
title Novel Closed‐Form Point Estimators for a Weighted Exponential Family Derived From Likelihood Equations
topic Stat
url https://onlinelibrary.wiley.com/doi/10.1002/sta4.723