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You are here		tinyheero.github.io Joint, Marginal, and Conditional Probabilities
\|	\|	matthewmcateer.me The Math Behind ML (the important stuff) - matthewmcateer.me	2.3 parsecs away Travel
\|	\|	Important mathematical prerequisites for getting into Machine Learning, Deep Learning, or any of the other space	2.3 parsecs away Travel
\|	\|	www.randomservices.org Beta-Bernoulli Process	4.1 parsecs away Travel
\|	\|	[AI summary] The text presents a comprehensive overview of the beta-Bernoulli process and its related statistical properties. Key concepts include: 1) The Bayesian estimator of the probability parameter $ p $ based on Bernoulli trials, which is $ rac{a + Y_n}{a + b + n} $, where $ a $ and $ b $ are parameters of the beta distribution. 2) The stochastic process $ s{Z} = rac{a + Y_n}{a + b + n} $, which is a martingale and central to the theory of the beta-Bernoulli process. 3) The distribution of the trial number of the $ k $th success, $ V_k $, which follows a beta-negative binomial distribution. 4) The mean and variance of $ V_k $, derived using conditional expectations. 5) The connection between the beta distribution and the negative binomial distributi...	4.1 parsecs away Travel
\|	\|	rgoswami.me SR2 :: Solutions for Chapters {13,14} :: Rohit Goswami - Reflections	5.2 parsecs away Travel
\|	\|	Setup details are described here, and the meta-post about these solutions is here. Materials The summmer course1 is based off of the second edition of Statistical Rethinking by Richard McElreath. Chapter 13 E{1,2,3,4,5} Chapter 14 E{1,2,3} Packages A colophon with details is provided at the end, but the following packages and theme parameters are used throughout. 1libsUsed<-c("tidyverse","tidybayes","orgutils","dagitty", 2 "rethinking","tidybayes.rethinking", 3 "ggplot2","kableExtra","dplyr","glue", 4 "latex2exp","data.table","printr","devtools") 5invisible(lapply(libsUsed, library, character.only = TRUE)); 6theme_set(theme_grey(base_size=24)) 7set.seed(1995) Chapter XIII: Models With Memory Easy Questions (Ch13) HOLD 13E1 Which of the following priors will ...	5.2 parsecs away Travel
\|	\|	www.pbs.org Read the full indictment against Trump for his alleged efforts to overturn the 2020 election \| PBS News	20.4 parsecs away Travel
\|		Former President Donald Trump has been indicted on four felony counts, including conspiracy to defraud the United States and witness tampering, for his efforts to overturn the 2020 presidential election.	20.4 parsecs away Travel