Exponential family distributions | Factorial and binomial topics | Continuous distributions | Conjugate prior distributions
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the random variable and control the shape of the distribution. The beta distribution has been applied to model the behavior of random variables limited to intervals of finite length in a wide variety of disciplines. The beta distribution is a suitable model for the random behavior of percentages and proportions. In Bayesian inference, the beta distribution is the conjugate prior probability distribution for the Bernoulli, binomial, negative binomial and geometric distributions. The formulation of the beta distribution discussed here is also known as the beta distribution of the first kind, whereas beta distribution of the second kind is an alternative name for the beta prime distribution. The generalization to multiple variables is called a Dirichlet distribution. (Wikipedia).
Excel Beta Distribution (BETA.DIST)
How to use the BETA.DIST function in Excel for beta distribution cumulative probabilities. Three ways to format the function/
From playlist Excel for Statistics
19 - Beta distribution - an introduction
This video provides an introduction to the beta distribution; giving its definition, explaining why we may use it, and the range of beliefs that can be described by this versatile distribution. If you are interested in seeing more of the material, arranged into a playlist, please visit: h
From playlist Bayesian statistics: a comprehensive course
(ML 7.5) Beta-Bernoulli model (part 1)
The Beta distribution is a conjugate prior for the Bernoulli. We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning
(ML 7.6) Beta-Bernoulli model (part 2)
The Beta distribution is a conjugate prior for the Bernoulli. We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning
Continuous Distributions: Beta and Dirichlet Distributions
Video Lecture from the course INST 414: Advanced Data Science at UMD's iSchool. Full course information here: http://www.umiacs.umd.edu/~jbg/teaching/INST_414/
From playlist Advanced Data Science
The Beta Distribution : Data Science Basics
Estimating the probability of a probability. My Patreon : https://www.patreon.com/user?u=49277905 Shoe icons created by Freepik - Flaticon https://www.flaticon.com/free-icons/shoe
From playlist Data Science Basics
29 - Posterior predictive distribution: example Disease
This video provides an introduction to the concept of posterior predictive distributions, using the example of disease prevalence in a population. Here we consider the case of a beta prior and binomial likelihood; resulting in a beta-binomial posterior. If you are interested in seeing mo
From playlist Bayesian statistics: a comprehensive course
What is a Sampling Distribution?
Intro to sampling distributions. What is a sampling distribution? What is the mean of the sampling distribution of the mean? Check out my e-book, Sampling in Statistics, which covers everything you need to know to find samples with more than 20 different techniques: https://prof-essa.creat
From playlist Probability Distributions
The Normal Distribution (1 of 3: Introductory definition)
More resources available at www.misterwootube.com
From playlist The Normal Distribution
Zakhar Kabluchko: Random Polytopes II
In these three lectures we will provide an introduction to the subject of beta polytopes. These are random polytopes defined as convex hulls of i.i.d. samples from the beta density proportional to (1 − ∥x∥2)β on the d-dimensional unit ball. Similarly, beta’ polytopes are defined as convex
From playlist Workshop: High dimensional spatial random systems
Generalized Linear Model (Part B)
Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics
39 - The gamma distribution - an introduction
This video provides an introduction to the gamma distribution: describing it mathematically, discussing example situations which can be modelled using a gamma in Bayesian inference, then going on to discuss how its two parameters affect the shape of the distribution intuitively, and finall
From playlist Bayesian statistics: a comprehensive course
2020.05.21 Jason Schweinsberg - A Gaussian particle distribution for branching Brownian motion [...]
A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate Motivated by the goal of understanding the evolution of populations undergoing selection, we consider branching Brownian motion in which particles independently move according to one-dime
From playlist One World Probability Seminar
Low Default Portfolios (Part 2)
We continue the discussion on LDPs, focusing our attention on the beta-binomial model, and the results of Tasche (2013). The link to the paper is at the end of this description. Which estimator should I use? Answering this question is not easy. From a theoretical point of view, the Bayes
From playlist Topics in Credit Risk Modelling
Thompson sampling, one armed bandits, and the Beta distribution
Thompson sampling is a strategy to explore a space while exploiting the wins. In this video we see an application to winning at a game of one-armed bandits. Beta distributions video: https://www.youtube.com/watch?v=juF3r12nM5A Tom Denton blog: https://inventingsituations.net/ Icons made
From playlist Machine Learning
Mod-13 Lec-35 Measurement Errors and Calibration Problem
Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics
What is the t-distribution? An extensive guide!
See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 2:17 Overview 6:06 Sampling RECAP 12:27 Visualising the t distribution 14:24 Calculating values from the t distribution (EXCEL and t-tables!)
From playlist Distributions (10 videos)
Simple Linear Regression(Part A)
Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics