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Bootstrap-based inferential improvements in beta autoregressive moving average model
Authors:Bruna Gregory Palm  Fábio M. Bayer
Affiliation:1. Departamento de Estatística, Universidade Federal de Pernambuco, PE, Brazil;2. Departamento de Estatística and LACESM, Universidade Federal de Santa Maria, RS, Brazil
Abstract:We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assume values in the interval (0,?1). The inferences based on conditional maximum likelihood estimation have good asymptotic properties, but their performances in small samples may be poor. This way, we propose bootstrap bias corrections of the point estimators and different bootstrap strategies for confidence interval improvements. Our Monte Carlo simulations show that finite sample inference based on bootstrap corrections is much more reliable than the usual inferences. We also presented an empirical application.
Keywords:βARMA  Beta distribution  Bootstrap corrections  Forecasting  Small sample inference
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