Publicação
On the kernel estimation of a multivariate distribution function under positive dependence
| Resumo: | In this paper, we consider the kernel estimator of the p-dimensional marginal distribution function of a stationary, positively associated sequence of random variables. For this setting, we state results concerning the asymptotic behaviour of this estimator extending some characterizations available in the literature. In addition, we present a simulation study about the empirical process constructed from such a estimator illustrating its asymptotic normality. |
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| Autores principais: | Azevedo, Cecília Maria |
| Outros Autores: | Oliveira, Paulo E. |
| Assunto: | Asymptotic normality Empirical process Nonparametric estimation Optimal bandwidth Positive association |
| Ano: | 2011 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | In this paper, we consider the kernel estimator of the p-dimensional marginal distribution function of a stationary, positively associated sequence of random variables. For this setting, we state results concerning the asymptotic behaviour of this estimator extending some characterizations available in the literature. In addition, we present a simulation study about the empirical process constructed from such a estimator illustrating its asymptotic normality. |
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