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Full-Text Articles in Physical Sciences and Mathematics

The Green Revolution In California: The Real Costs And Benefits Of Changing Electricity Production, Joseph James Hoffman Jan 2023

The Green Revolution In California: The Real Costs And Benefits Of Changing Electricity Production, Joseph James Hoffman

CGU Theses & Dissertations

In recent years democratic societies have added concern for the environment to the perennial problems of inequality, economic growth, and law and order. What is often called the Green Revolution has focused on the effect of industrial growth on the health of the individuals living in that society and on the effects on climate. In the United States, the State that was the first to see this problem and the first to make changes to deal with it, was California, where geographical factors ensured that the effects of industrial change on the air were much more severe than anywhere else …


An Exponential Formula For Random Variables Generated By Multiple Brownian Motions, Maximilian Lawrence Baroi Jan 2022

An Exponential Formula For Random Variables Generated By Multiple Brownian Motions, Maximilian Lawrence Baroi

CGU Theses & Dissertations

The frozen operator has been used to develop Dyson-series like representations for random variables generated by classical Brownian motion, Lévy processes and fractional Brownian with Hurst index greater than 1/2.The relationship between the conditional expectation of a random variable (or fractional conditional expectation in the case of fractional Brownian motion)and that variable's Dyson-series like representation is the exponential formula. These results had not yet been extended to either fractional Brownian motion with Hurst index less than 1/2, or d-dimensional Brownian motion. The former is still out of reach, but we hope our review of stochastic integration for fractional Brownian motion …


On Cluster Robust Models, José Bayoán Santiago Calderón Jan 2019

On Cluster Robust Models, José Bayoán Santiago Calderón

CGU Theses & Dissertations

Cluster robust models are a kind of statistical models that attempt to estimate parameters considering potential heterogeneity in treatment effects. Absent heterogeneity in treatment effects, the partial and average treatment effect are the same. When heterogeneity in treatment effects occurs, the average treatment effect is a function of the various partial treatment effects and the composition of the population of interest. The first chapter explores the performance of common estimators as a function of the presence of heterogeneity in treatment effects and other characteristics that may influence their performance for estimating average treatment effects. The second chapter examines various approaches …