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beta-distribution

The Beta distribution is a versatile probability distribution that models random variables constrained within a finite interval, typically between 0 and 1. It is characterized by two shape parameters, alpha (α) and beta (β), which influence the distribution’s form, allowing it to represent a variety of scenarios, such as success rates or proportions. The Beta distribution is particularly significant in Bayesian statistics, where it serves as a conjugate prior for binomial and Bernoulli distributions. This means it can be easily updated with new data, making it a powerful tool for probabilistic modeling and inference in various applications.

Beta Distribution — Intuition, Examples, and Derivation

Towards Data Science

The Beta distribution is a probability distribution on probabilities. For example, we can use it to model the probabilities: the Click-Through Rate of your advertisement, the conversion rate of…

Beta Distributions: A Cornerstone of Bayesian Calibration

Towards Data Science

Hi there! Distributions may not seem like a complex concept at first glance, but they are incredibly powerful and fundamental in the world of data analysis and statistics. Think about it this way: if ...

Beta Distributions

Towards Data Science

Somehow, in years of schooling, I’d never heard of beta distributions until I stumbled onto them on accident over at David Robinson’s blog, but they’ve quickly become one of my favorite…

Visualizing Beta Distribution and Bayesian Updating

Towards Data Science

Beta distribution is one of the more esoteric distributions compared to Bernoulli, Binomial and Geometric distributions. This post supplements intuitive understanding with visual learning.

Once again, Beta Distribution

Analytics Vidhya

Long time ago I’ve been asked a question “Why is Beta distribution used in Bayes theorem” at an interview for Data Analyst position. At that time I’ve never heard of Beta Distribution therefore I…

Beta Distribution Simply Explained

Towards Data Science

A concise and easy explanation of the Beta distribution. Continue reading on Towards Data Science

Distributions

Think Bayes

In the previous chapter we used Bayes’s Theorem to solve a cookie problem; then we solved it again using a Bayes table. In this chapter, at the risk of testing your patience, we will solve it one mor...

Stocks Market Beta with Rolling Regression

Towards AI

In finance, a measure of asset movements against the market is the market beta β. It is a popular measure of the contribution of stock to the risk of the market portfolio and that is why is referred…

Statistical Distributions

Towards Data Science

A probability distribution is a mathematical function that provides the probabilities of the occurrence of various possible outcomes in an experiment. Probability distributions are used to define…

How the Beta distribution connects sorting and tossing coins

Towards Data Science

Say you have a coin and know nothing about the probability of heads. It’s reasonable to assume it’s distributed uniform between 0 and 1 (no reason to prefer any probability over any other since we…

Distributions

Dive intro Deep Learning Book

Now that we have learned how to work with probability in both the discrete and the continuous setting, let’s get to know some of the common distributions encountered. Depending on the area of machine ...

Beta-divergence loss functions

Scikit-learn Examples

Beta-divergence loss functions A plot that compares the various Beta-divergence loss functions supported by the Multiplicative-Update (‘mu’) solver in NMF .