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The β-Birnbaum–Saunders (Cordeiro and Lemonte, 2011) and Birnbaum–Saunders (Birnbaum and Saunders, 1969a) distributions have been used quite effectively to model failure times for materials subject to fatigue and lifetime data. We define the log-β-Birnbaum–Saunders distribution by the...
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In this article consistency and asymptotic normality of the quasi-maximum likelihood esti- mator (QMLE) in the class of … introduced by (Duan, 1997) which contains many commonly employed GARCH models as special cases. The conditions for consistency … normality ; consistency ; polynomial augmented GARCH models ; quasi-maximum likelihood estimation …
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We study the strong consistency and asymptotic normality of the maximum likelihood estimator for a class of time series … processes. We formulate primitive conditions for global identification, invertibility, strong consistency, and asymptotic …
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. We derive considerably weaker conditions that can be used in practice to ensure the consistency of the maximum likelihood … estimator for a wide class of observation-driven time series models. Our consistency results hold for both correctly specified …
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robust filtering and forecasting. We provide sufficient conditions for the strong consistency and asymptotic normality of the …
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