Covid-19 Progression Analysis

Covid-19 Progression Analysis Introduction This updates a prior post analyzing the growth rate of Covid-19 infections and deaths by country. The analysis is conducted as of 2020-03-24 The daily growth rate of cumulative confirmed cases and deaths are calculated as: \(G_{confirmed}=growth~rate~confirmed=log(Confirmed_t / Confirmed_{t-1})\) \(G_{deaths}=growth~rate~deaths=log(Deaths_t / Deaths_{t-1})\) Using this formulation, the total growth after \(d\) days …

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II. Probabilistic Programming: Survival Analysis

Introduction This is a second article in the series of Probabilistic Programming for Actuarial Science. The first article introduced the Bayesian approach to inferring risk rates and predicting future claims in an actuarial context and built a practical model in Greta, a probabilistic programming language, to conduct the analysis. In a beta binomial model, a …

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I. Probabilistic Programming for Actuarial Science

Introduction A core task of actuarial analysis is estimation of risk rates for insured events. This includes analyses such as estimating mortality rates, lapse rates, incidence rates, termination rates and so on. In addition to determining best estimates for risk rates, understanding the uncertainty around the best estimates is a critical component of the overall …

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Life Expectancies in the US Worsen (but with some bright spots)

The CDC has just published its new set of reports analyzing the trends in mortality and life expectancy from 2016 to 2017. Unfortunately, there has been a decline in overall life expectancies in the US.  Sources of mortality that have shown statistically significant increases in mortality are (from highest to lowest impact): Uninentional Injuries Influenza …

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Gaussian Process Models for Actuarial Science

We have written in collaboration Professor Michael Ludkowski and Ph.D candidate James Risk of U.C. Santa Barbara, a paper introducing Gaussian Processes (GPs) to the actuarial community.  Our paper has focused on a practical implementation of GPs in mortality analysis.  A pre-publication version of the paper can be found here:  https://arxiv.org/abs/1608.08291 GPs are an extremely powerful …

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Tracking Presidential Polls: A New Approach

Final Review: A summary of the final results can be found here. Original article: 7/22/2016:  Being in the height of the presidential election season, there is intense interest as to who is likely to win the November elections.  The standard approach in the press has been to commission a poll, report the results and compare …

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