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作者:Bock, Mary Ellen
作者单位:Purdue University System; Purdue University
摘要:Statisticians are harnessing the power of information buried in today's massive and complex data. High-dimensional data sets, often the result of combining multiple databases, have led to important challenges in mathematical statistics. The increasing quantity of high-dimensional complex data and the ability of statisticians to uncover the information in it have led to ever greater demand for their expertise. For example, many businesses seek to build analytic capabilities, and statisticians a...
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作者:Liang, Hua; Wu, Hulin
作者单位:University of Rochester
摘要:Differential equation (DE) models are widely used in many scientific fields, including engineering, physics, and biomedical sciences. The so-called forward problem, the problem of simulations and predictions of state variables for given parameter values in the DE models. has been extensively studied by mathematicians, physicists, engineers, and other scientists. However, the inverse problem the problem of parameter estimation based on the measurements of output variables, has not been well exp...
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作者:Merl, Daniel; Prado, Raquel; Escalante, Ananias A.
作者单位:Duke University; University of California System; University of California Santa Cruz; Arizona State University; Arizona State University-Tempe
摘要:We present it statistical approach for identifying residues in DNA sequences for which diversity may be maintained by natural selection. Bayesian generalized linear models (GLMs) are used to describe patterns of mutation in it DNA Sequence alignment. Posterior distributions of key quantities. such as probabilities of nonsynonymous and synonymous mutations per site, are studied. Inference in this class of models is achieved through customary Markov chain Monte Carlo methods. Model selection is ...
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作者:Mueller, Hans-Georg; Yao, Fang
作者单位:University of California System; University of California Davis; University of Toronto
摘要:In commonly used functional regression models. the regression of it scalar or functional response oil the functional predictor is assumed to be linear. This means that the response is a linear function of the functional principal component scores of the predictor process. We relax the linearity assumption and propose to replace it by an additive structure. leading to it more widely applicable and much more flexible framework for functional regression models. The proposed functional additive re...
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作者:Fan, Jianqing; Wu, Yichao
作者单位:Princeton University; Shanghai University of Finance & Economics; North Carolina State University
摘要:Estimation of longitudinal data covariance structure Poses significant challenges because the data usually are collected at irregular time points. A viable semiparametric model for covariance matrixes has been proposed that allows one to estimate the variance function nonparametrically and to estimate the correlation function parametrically by aggregating information front irregular and sparse data points within each subject. But the asymptotic properties of the quasi-maximum likelihood estima...
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作者:Kaufman, Cari G.; Schervish, Mark J.; Nychka, Douglas W.
作者单位:University of California System; University of California Berkeley; Carnegie Mellon University; National Center Atmospheric Research (NCAR) - USA
摘要:Maximum likelihood is an attractive method of estimating covariance parameters in spatial models based oil Gaussian processes. But calculating, the likelihood can he computationally infeasible for large data sets, requiring O(m(3)) calculations for a data set with a observations. This article proposes the method of covariance tapering to approximate the likelihood in this setting. In this approach. covariance matrixes are tapered. or multiplied element wise by a sparse correlation matrix. The ...
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作者:Cai, Zongwu; Xu, Xiaoping
作者单位:University of North Carolina; University of North Carolina Charlotte; Xiamen University; China University of Geosciences
摘要:We suggest quantile regression methods for a class of smooth coefficient time series models. We use both local polynomial and local constant litting schemes to estimate the smooth coefficients in a quantile framework. We establish the asymptotic properties of both the local polynomial and local constant estimators for alpha-mixing time series. We also suggest a bandwidth selector based on the nonparametric version of the Akaike information criterion. along with a consistent estimate of the asy...
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作者:Frees, Edward W.; Valdez, Emiliano A.
作者单位:University of Wisconsin System; University of Wisconsin Madison; University of Connecticut
摘要:This work describes statistical modeling of detailed. microlevel automobile insurance records. We consider 1993-2001 data a from it major insurance company in Singapore. By detailed microlevel records. we mean experience at the individual vehicle level, including vehicle and driver characteristics, insurance coverage, and claims experience. by year. The claims experience consists of detailed information oil the type of insurance claim such as whether the claim is due to injury to a third party...
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作者:Hill, Jennifer
作者单位:New York University
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作者:Carvalho, Carlos M.; Chang, Jeffrey; Lucas, Joseph E.; Nevins, Joseph R.; Wang, Quanli; West, Mike
作者单位:University of Chicago; Duke University; Duke University; Duke University
摘要:We describe Studies in molecular profiling and biological pathway analysis that use sparse latent factor and regression models for microarray gene expression data. We discuss breast cancer applications and key aspects of the modeling and computational methodology. Our case Studies aim to investigate and characterize heterogeneity of structure related to specific oncogenic pathways, its well as links between aggregate patterns in gene expression profiles and clinical biomarkers. Based on the me...