Busca avançada
Ano de início
Entree


Identifying regime switches through Bayesian wavelet estimation: application to environmental and genetic data

Texto completo
Autor(es):
Motta, Flavia Castro ; Montoril, Michel H.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Journal of Applied Statistics; v. N/A, p. 24-pg., 2026-01-10.
Resumo

Two-component mixture models have proved powerful tools for modeling heterogeneity in various clustering scenarios. However, traditional models often assume constant mixture weights, which can be unsuitable for some applications. In this paper, we relax this assumption and allow the mixture weights to vary dynamically with the data index, making the model adaptable to diverse data sets. We introduce an efficient Gibbs sampling algorithm that jointly estimates the mixture component parameters and dynamic weights. We propose a wavelet-based version of data augmentation to assess the dynamic behavior of the mixture weights, exploiting the advantageous properties of wavelet bases in curve estimation. We validate the method through Monte Carlo simulations and real-world applications, including flood detection in a river in southern Brazil and the identification of chromosomal anomalies in DNA samples. The results align with existing findings, demonstrating the robustness of our method. (AU)

Processo FAPESP: 20/00646-1 - Modelagem estatística por meio de ondaletas
Beneficiário:Michel Helcias Montoril
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 23/02538-0 - Séries temporais, ondaletas, dados de alta dimensão e aplicações
Beneficiário:Aluísio de Souza Pinheiro
Modalidade de apoio: Auxílio à Pesquisa - Temático