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Abstract. We consider the properties of the local polynomial estimators of a counting process intensity function and its derivatives. By expressing the local polynomial estimators in a kernel smoothing form via effective kernels, we show that the bias and variance of the estimators at boundary points are of the same magnitude as at interior points and therefore the local polynomial estimators in the context of intensity estimation also enjoy the automatic boundary correction property as they do in other contexts such as regression. The asymptotically optimal bandwidths and optimal kernel functions are obtained through the asymptotic expressions of the mean square error of the estimators. For practical purpose, we suggest an effective and easy‐to‐calculate data‐driven bandwidth selector. Simulation studies are carried out to assess the performance of the local polynomial estimators and the proposed bandwidth selector. The estimators and the bandwidth selector are applied to estimate the rate of aftershocks of the Sichuan earthquake and the rate of the Personal Emergency Link calls in Hong Kong. 相似文献
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Abstract In this introductory article, we emphasize the significance of considering the politics and practices of transnationalism as they impinge on the social morphology of transnational ‘Asian’ families. Three strands of work in this arena are discussed. First, transnational families draw on ideologically laden imaginaries to give coherence to notions of belonging despite the physical dispersal of their members; these imaginaries may in turn act as a conservative force exerting control over particular female members, an increasing salient issue given the feminization of various streams of labour migration. Second, transnational families are also realized through lived experiences, where variants and degrees of intimacy are negotiated across transnational spaces with both ‘regular’ members and ‘irregular’ others. In the process, social identities may be reinforced or reconfigured. Third, families may assume transnational morphologies with the strategic intent of ensuring economic survival or maximizing social mobility. In this context, children's education has emerged as a particularly important project which provides strong impetus for families to go transnational. 相似文献
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