On the Bell distribution and its associated regression model for count data

Autor(es)

Castellares, Fredy ^[1] ; Ferrari, Silvia L. P. ^[2] ; Lemonte, Artur J. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Minas Gerais, Dept Estat, Belo Horizonte, MG - Brazil

^[2] Univ Sao Paulo, Dept Estat, Sao Paulo, SP - Brazil

^[3] Univ Fed Rio Grande do Norte, Dept Estat, Natal, RN - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematical Modelling; v. 56, p. 172-185, APR 2018.
• Citações Web of Science: 3

Resumo

In this paper we define and study the one-parameter discrete Bell distribution, which has a very simple form for its probability mass function. In particular, we show that this discrete distribution is a particular solution of a multiple Poisson process. By considering the distribution studied in this article, we introduce a new regression model where the response variable is a count. Further, residuals are also proposed for the new count regression model. An empirical application is considered to show the usefulness of the Bell regression model in practice. (C) 2017 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 12/21788-2 - Modelos de regressão e aplicações
• Beneficiário: Heleno Bolfarine
• Modalidade de apoio: Auxílio à Pesquisa - Temático