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Multivariate Application Domains for the Delta Method

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Detalhes bibliográficos
Resumo:Given statistics with components Yi = gi(μ +X), i = 1, ...,m, and domains D such that, when μ ∈ D, distributions derived applying to Delta method may be used. The case in which X is normal is singled out. Then the approximate distributions are normal and may be applied in situations with high non-centrality parameter Δ = μtΣ−1μ where Σ is the variance-covariance matrix of X.
Autores principais:Mexia, João
Outros Autores:Nunes, Célia; Oliveira, Manuela
Assunto:Delta method asymptotic linearity normal case.
Ano:2012
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Évora
Idioma:inglês
Origem:Repositório Científico da Universidade de Évora
Descrição
Resumo:Given statistics with components Yi = gi(μ +X), i = 1, ...,m, and domains D such that, when μ ∈ D, distributions derived applying to Delta method may be used. The case in which X is normal is singled out. Then the approximate distributions are normal and may be applied in situations with high non-centrality parameter Δ = μtΣ−1μ where Σ is the variance-covariance matrix of X.