The Zero, One and Zero-and-one-inflated New unit-Lindley Distributions

Conteúdo do artigo principal

André Bisca FERREIRA
https://orcid.org/0000-0002-7866-7660
Josmar MAZUCHELI

Resumo

Neste artigo propomos as distribuições New unit-Lindley inflacionada em zero, em um e em zero e um como extensões naturais da distribuição New unit-Lindley
para modelar respostas contínuas medidas nos intervalos $[0,1)$, $(0,1]$ e $[0,1]$. Estas distribuições foram construídas a partir de combinações convexas entre a distribuição New unit-Lindley e as distribuições degenerada em zero, em um e Bernoulli. Elas também contam com uma série de propriedades interessantes tais como serem membros da família exponencial além de contar com formas as funções de distribuição acumulada, quantil e para os momentos. Aspectos inferenciais e estruturas de regressão são discutidas neste trabalho bem como um estudo de simulação Monte Carlo para avaliar a performance dos coeficientes regressores. Por fim, trazemos uma aplicação a dados reais sobre a taxa de suicídio no ano de 2016.

Detalhes do artigo

Como Citar
FERREIRA, A. B., & MAZUCHELI, J. (2022). The Zero, One and Zero-and-one-inflated New unit-Lindley Distributions. REVISTA BRASILEIRA DE BIOMETRIA, 40(3). https://doi.org/10.28951/bjb.v40i3.571
Seção
Articles
Biografia do Autor

Josmar MAZUCHELI, State University of Maringá, PR, Brazil

Departamento de Estatística

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