Limit theorems for bifurcating integer-valued autoregressive processes
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en
Article de revue
Este ítem está publicado en
Statistical Inference for Stochastic Processes. 2014, vol. 17, p. 1-37
Springer Verlag
Resumen en inglés
We study the asymptotic behavior of the weighted least squares estimators of the unknown parameters of bifurcating integer-valued autoregressive processes. Under suitable assumptions on the immigration, we establish the ...Leer más >
We study the asymptotic behavior of the weighted least squares estimators of the unknown parameters of bifurcating integer-valued autoregressive processes. Under suitable assumptions on the immigration, we establish the almost sure convergence of our estimators, together with a quadratic strong law and central limit theorems. All our investigation relies on asymptotic results for vector-valued martingales.< Leer menos
Palabras clave en inglés
bifurcating autoregressive process
integer-valued process
weighted least squares
martingale
almost sure convergence
central limit theorem
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