Overall, we see from this book several conclusionary remarks. First that correlation is a limited tool in the analytical toolkit for individuals. That copulas provide a second vantage point, particularly on the insights of the extremes of your life experiences where again interesting model risk applications could quickly be afoot. Last we consider that our life is full of difficult to model phenomena and we should attempt to work with a longer view, and work backwards in designing the things we need to succeed in life. Financially, psychologically, holistically.
In copula narratives we complement ideas from my previous two best-selling books. On probability and statistic concepts in Statistics Topics, to extreme agency and probability visualization in Colors and Numbers. We have a framework for these traditional and more novel dimensions of analysis. Now probability and statistics are already dimensions. But they are linear and parametric.
This book centers on distributions that are both nonparametric, and fluid along the distribution. Applying copula theory to tease out the underlying behavior at the edges of the distribution, can reveal new understandings about a problem and the risks within it.
Introduction Correlation 1A. Introducing correlation 1B. Pros and cons 1C. Copulas, via taus Copulas 2A. Multicollinearity, and fundamental monotonicity 2B. Outliers 2C. Archimedean, and independence copulas Narratives on long-view 3A. Labor market 3B. Solving the stock market 3C. Quasi-retirement, and optimal life 3D. Investing in yourself Narratives on short-view 4A. Vulnerability 4B. Coronavirus 4C. Mass shootings 4D. Exterminations, and population change 4E. AI’s benefits and dangers 4F. Diversity, equity, inclusion Life lessons, and conclusion