Mathematics
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SMALL AREA ESTIMATION OF SUBDISTRICT POVERTY RATES ON JAVA ISLAND, INDONESIA
(2022)Poverty representing the deprivation of well-being is a global concern. The provision of poverty statistics for small area levels becomes crucial and mandatory to accelerate the poverty eradication program. This research ... -
Geometric and Topological Reconstruction
(2022)The understanding of mathematical signals is responsible for the information age. Computation, communication, and storage by computers all use signals, either implicitly or explicitly, and use mathematics to manipulate ... -
STATISTICAL INFERENCE ACROSS MULTIPLE NETWORKS: ADVANCEMENTS IN MULTIPLEX GRAPH MATCHING AND JOINT SPECTRAL NETWORK EMBEDDINGS
(2022)Networks are commonly used to model and study complex systems that arise in a variety of scientific domains.One important network data modality is multiplex networks which are comprised of a collection of networks over a ... -
Limiting Configurations for the SU(1,2) Hitchin Equation
(2022)This dissertation studies the SU(1,2) Higgs bundle and a limiting behavior of solutions of the SU(1,2) Hitchin's self-duality equation. On a closed Riemann surface $X$ of genus $g\ge 2$, an SU(1,2) Higgs bundle consists ... -
Multivariate Bilateral Gamma Process with Financial Application and Machine Learning in Corporate Bond Market
(2022)This dissertation consists of three essays. Chapter 1 is titled “Calibration for multivariate bilateral gamma model”. In this chapter, we discuss the multivariate bilateral gamma (MBG) model, which is an extension of the ...