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1.
On Optimality of Bayesian Wavelet Estimators 总被引:2,自引:0,他引:2
Felix Abramovich Umberto Amato Claudia Angelini 《Scandinavian Journal of Statistics》2004,31(2):217-234
Abstract. We investigate the asymptotic optimality of several Bayesian wavelet estimators, namely, posterior mean, posterior median and Bayes Factor, where the prior imposed on wavelet coefficients is a mixture of a mass function at zero and a Gaussian density. We show that in terms of the mean squared error, for the properly chosen hyperparameters of the prior, all the three resulting Bayesian wavelet estimators achieve optimal minimax rates within any prescribed Besov space for p ≥ 2. For 1 ≤ p < 2, the Bayes Factor is still optimal for (2 s +2)/(2 s +1) ≤ p < 2 and always outperforms the posterior mean and the posterior median that can achieve only the best possible rates for linear estimators in this case. 相似文献
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陈广荣 《宝鸡文理学院学报(社会科学版)》1993,(1)
本文介绍了著名数学家和教育家Orlicz教授和他创造性的工作,以及他对中国数学研究工作的重大影响 相似文献
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The asymptotic variance of the maximum likelihood estimate is proved to decrease when the maximization is restricted to a subspace that contains the true parameter value. Maximum likelihood estimation allows a systematic fitting of covariance models to the sample, which is important in data assimilation. The hierarchical maximum likelihood approach is applied to the spectral diagonal covariance model with different parameterizations of eigenvalue decay, and to the sparse inverse covariance model with specified parameter values on different sets of nonzero entries. It is shown computationally that using smaller sets of parameters can decrease the sampling noise in high dimension substantially. 相似文献
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Reduced-rank regression is a dimensionality reduction method with many applications. The asymptotic theory for reduced rank estimators of parameter matrices in multivariate linear models has been studied extensively. In contrast, few theoretical results are available for reduced-rank multivariate generalized linear models. We develop M-estimation theory for concave criterion functions that are maximized over parameter spaces that are neither convex nor closed. These results are used to derive the consistency and asymptotic distribution of maximum likelihood estimators in reduced-rank multivariate generalized linear models, when the response and predictor vectors have a joint distribution. We illustrate our results in a real data classification problem with binary covariates. 相似文献
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Each generation of immigrants has its own challenges; for example, how to maintain already constructed identities among first generation immigrants and how to construct identities of the second generation of immigrants. Numerous literature suggests that the previous studies on these topics have been conducted within larger cities such as London, Glasgow or Edinburgh. This article examines how Muslim immigrants in a small city maintain and modify some aspects of their religious and cultural identities. The data consist of 30 interviews conducted with first and second generation of Muslim immigrants in Scotland, analysis of which suggests the size of the city does not appear to affect daily Muslim practices nor their ability to maintain Muslim identity. Rather, access to shared spaces, such as Inverness Masjid and the local halal meat shop, become critical to how Muslim's maintain and modify their identity in a new place. 相似文献
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Bianca J. Baldridge 《Race Ethnicity and Education》2017,20(6):781-795
As pathologizing, racialized, and patriarchal rhetoric undergirds neoliberal education reform, deficit narratives characterize the education of Black youth. Such narratives present deep challenges for educational policy and community-based educational spaces. This article explores the ways in which community-based educators resist narratives of damage and struggle in their own personal and professional narratives in order to prevent the cycle of deficit-oriented discourse that follow Black youth through myriad educational spaces. By situating the narratives of community-based educators within a broader policy context shaped by race, class, and gender, this article illustrates the challenges that arise for community-based educators that seek to frame Black youth beyond deficit narratives and who avoid framing themselves as heroes and saviors of Black youth. 相似文献
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以黄山市中心城区为例,综合黄山市中心城区绿地现状以及灾害发生点,对城区内防灾绿地的选址进行合理安排,确定黄山学院南区、世纪广场等区域为灾害发生的避难点,并依据黄山市道路结构系统,提出了恰当的一级、二级避难通道。灾害发生点、避难通道、防灾绿地点三者有机结合,形成完善的避难系统。 相似文献