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Skip to Search Results- 7Frei, Christoph (Mathematical and Statistical Sciences)
- 7Kong, Linglong (Mathematical and Statistical Sciences)
- 7Lewis, Mark (Mathematical and Statistical Sciences)
- 6Han, Bin (Mathematical and Statistical Sciences)
- 6Hillen, Thomas (Mathematical and Statistical Sciences)
- 6Mizera, Ivan (Mathematical and Statistical Sciences)
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Fall 2016
In this thesis, we study the impact of random times to model and manage unpredictable risk events in the financial models. First, as a generalization of the classical Neyman-Pearson lemma, we show how to minimize the probabil- ity of type-II-error when the null hypothesis, alternative and the...
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Imperfect Hedging on Equity-Linked Life Insurance with Market Constraints: Stochastic Interest Rate and Transaction Costs
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Equity-linked life insurance contracts are a type of investment product issued by insurance companies to provide the insured with more appealing benefits, compared with the traditional insurance policy. Such benefits are not only linked to the performance of the underlying investments in the...
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Fall 2022
Convolution Neural Networks (CNNs) have rapidly evolved since their neuroscience beginnings. These models efficiently and accurately classify images by optimizing the model’s hidden representations to these images through training. These representa- tions have been shown to resemble neural data...
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Fall 2009
Informative random censoring survival data are often seen in clinical trials. However, the methodology to deal with this kind of data has not been well developed due to difficulty of identifying the information. Several methods were proposed, for example, by \citet{Sia1}. We use simulation...
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Spring 2018
In both health and disease, cells interact with one another through cellular adhesions. Normal development, wound healing, and metastasis all depend on these interactions. These phenomena are commonly studied using continuum models (partial differential equations). However, a mathematical...
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Fall 2019
Integrodifference equations are a common tool used in ecology to model the spread of populations. In this thesis, I explore the neutral genetic patterns formed by range expansions and how dispersal-reproduction trade-offs impact the spread of populations. In Chapter 2, we investigate the inside...
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Fall 2010
In Chapters 1 and 2, we introduce the definition of interpolating refinable function vectors in dimension one and high dimensions, characterize such interpolating refinable function vectors in terms of their masks, and derive their sum rule structure explicitly. We study biorthogonal refinable...