Statistics

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Temporal text data is often generated by a time-changing process or distribution. Such a drift in the underlying distribution cannot be captured by stationary likelihood techniques. We consider the application of local likelihood methods to generative and conditional modeling of…

The skew-normal distribution using the Cauchy CDF is introduced to partially relieve some problems associated with the well-known skew-normal distribution proposed by Azzalini (1985). In addition to the shape parameter estimation problem, the skew-normal distribution possesses a…

Competing risks data are often observed in medical research, industrial life testing, economics and sociology. In the competing risks framework, each subject may fail from one of several distinct types or causes. Analysis of such data is complicated by dependent censoring of an …

Groundwater is used in Terai region of Nepal as a major source of drinking water since surface water is vulnerable to microbial contamination. But the presence of arsenic, a toxic element in groundwater poses a threat to human health and environment. Arsenic in groundwater is a …

The unifying theme in both chapters of my dissertation is the dynamic inter-temporal investment and consumption decision making of utility maximizing economic agents. In the first chapter, I solve a general equilibrium model where the agents suspect model mis-specification in ch…

Nonlinear stochastic dynamical systems are widely used to model systems across the sciences and engineering. Such models are natural to formulate and can be analyzed mathematically and numerically. However, difficulties associated with inference from time-series data about unkno…

The processes governing environmental systems are often complex, involving different interacting scales of variability in space and time. The complexities and often high dimensionality of such spatio-temporal processes can be effectively addressed using a hierarchical modeling f…

A constitutive model is a relationship between material stimuli and responses. Calibration of model parameters within well-defined constitutive models is thus key to the generation of accurate model-based predictions. One limitation of traditional material calibration is that on…

This political methodology dissertation consists of several distinct essays that apply three new estimation techniques to all three subfields of the discipline—international relations, American politics and Comparative politics. The first is an application of reversible jump Mar…