Navegando por Autor "Ernesto, Dulcidia Carlos Guezimane"
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Item Monte Carlo test for stochastic trend in linear structural models for the location-scale family.(2021) Silva, Ivair Ramos; Ernesto, Dulcidia Carlos Guezimane; Oliveira, Fernando Luiz Pereira de; Marques, Reinaldo Antônio Gomes; Oliveira, Anderson Castro Soares deIn linear structural models for time series, a key point is the decision between modeling the trend of non-stationary processes through a deterministic or a stochastic term. The present paper introduces a Monte Carlo hypothesis test procedure to guide in such a decision. The method works for any time series distribution belonging to the location-scale family, where the analytical shape of the distribution must be defined by the user prior to apply the method. The proposed method provides an alpha-level test for any time series of length greater than 3 and it does not demand assumptions on the distribution of the trend term when it is actually stochastic.