Browsing by Author "Zhou, Lan"
Now showing items 1-20 of 22
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Redd, Andrew Middleton (2011-10-21)The work presented in this dissertation centers on the theme of regression and computation methodology. Functional data is an important class of longitudinal data, and principal component analysis is an important approach ...
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Khaochim, Narissara (2021-04-15)In this dissertation, we give two main results. First, we use the Bruinier-Ono formula to give an asymptotic formula for the partition function $p(n)$ with an effective bound on the error term. Second, we give an asymptotic ...
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Merchant, Naveed Nabeel (2022-02-28)A new framework for nonparametrically testing of equality of two densities is proposed. From this framework, two different tests are constructed. The two tests themselves are then investigated and compared to other tests ...
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Pan, Huijun 1987- (2011-08-09)In the field of spatial statistics, it is often desirable to generate a smooth surface for a region over which only noisy observations of the surface are available at some locations, or even across time. Kriging and kernel ...
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Barquero Sanchez, Adrian Alberto (2016-08-05)In this thesis we start by giving a quick review of the classical Chowla-Selberg formula. We then recall a conjecture of Colmez which relates the Faltings height of an abelian variety with complex multiplication by the ...
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Teel-Jongebloed, Cole Chase (2020-12-02)Failure detection of DC motors is a common study, and could be extremely useful in real world applications. Undiagnosed eminent motor failure could cause a range of effects, and without maintenance will inevitably occur. ...
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Zhang, Jingjie (2020-11-18)Gaussian processes (GPs) are widely used in geospatial analysis, machine learning and many application areas. We propose novel scalable methods to tackle two problems in Gaussian process modeling for large spatial datasets. In ...
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Zhou, Huiya (2022-04-27)A reduced-rank mixed effects model is developed for robust modeling of paired observed func-tional data. In this model, the curves for each functional variable are summarized using a few functional principal components, ...
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Suya, . (2016-08-03)The penalized spline estimator has been formally introduced in the context of the nonparametric regression model. Despite the wide range of its application, the theory of penalized spline estimator has fallen behind. In ...
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Shen, Shirun (2022-04-06)Functional principal component analysis is a popular technique used for analyzing the intrinsically infinite-dimensional functions. The functional principal components help explore the variation patterns of functions and ...
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Yan, Xiaomeng (2022-04-20)Functional data analysis (FDA) methods have computational and theoretical appeals for some high dimensional data, but lack the scalability to modern large sample datasets. Covariance operators are fundamental concepts and ...
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Assaad, Houssein I; Zhou, Lan; Carroll, Raymond J; Wu, Guoyao (SpringerPlus, 2014)
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Assaad, Houssein I; Hou, Yongqing; Zhou, Lan; Carroll, Raymond J; Wu, Guoyao (SpringerPlus, 2015)
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Wei, Jiawei (2011-10-21)This dissertation consists of five independent projects. In each project, a novel statistical method was developed to address a practical problem encountered in genomic contexts. For example, we considered testing for ...
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Chen, Shuai (2012-07-16)Cost-effectiveness analysis is widely conducted in the economic evaluation of new treatment options. In many clinical and observational studies of costs, data are often censored. Censoring brings challenges to both medical ...
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Statistical Inference for Medical Costs and Incremental Cost-effectiveness Ratios with Censored Data Chen, Shuai (2015-04-30)Cost-effectiveness analysis is widely conducted in the economic evaluation of new treatments, due to skyrocketing health care costs and limited resource available. Censored costs data poses a unique problem for cost ...
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Shin, Yei Eun (2017-07-17)This dissertation consists of three studies in different fields. (1) The first study aims to evaluate the effect of wind turbine upgrades by devising a covariate matching method. The proposed method performs straightforward ...
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Ganguly, Soumendra (2023-08-02)Let φ be the symmetric-square lift of an SL2(Z) Hecke-Maass form. Let q be an odd cube-free positive integer, and let χ be a primitive Dirichlet character modulo q such that χ is not quadratic. Let f be an even Hecke-normalized ...
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Lee, Donghyuk (2018-07-27)In this dissertation, I address unorthodox statistical problems concerning goodness-of-fit tests in the latent variable context and efficient statistical computations. In epidemiological and biomedical studies observations ...
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Tsai, Wei-Lun (2020-03-30)The theory of weak Maass forms has been studied extensively in recent years, resulting in many striking results. Examples include the fundamental work of Bruinier and Ono which relates the Fourier coefficients of half-integral ...