In probability theory, a branch of mathematics Poisson-Dirichlet distributions are probability distributions on the set of nonnegative, non-decreasing sequences with sum 1, depending on two parameters and . It can be defined as follows. One considers independent random variables such that follows the beta distribution of parameters and . Then, the Poisson-Dirichlet distribution of parameters and is the law of the random decreasing sequence containing and the products . This definition is due to and Marc Yor. It generalizes Kingman's law, which corresponds to the particular case . (Wikipedia).
(ML 7.7.A1) Dirichlet distribution
Definition of the Dirichlet distribution, what it looks like, intuition for what the parameters control, and some statistics: mean, mode, and variance.
From playlist Machine Learning
Short Introduction to the Poisson Distribution
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Short Introduction to the Poisson Distribution
From playlist Statistics
Definition of a Poisson distribution and a solved example of the formula. 00:00 What is a Poisson distribution? 02:39 Poisson distribution formula 03:10 Solved example 04:22 Poisson distribution vs. binomial distribution
From playlist Probability Distributions
Statistics - 5.3 The Poisson Distribution
The Poisson distribution is used when we know a mean number of successes to expect in a given interval. We will learn what values we need to know and how to calculate the results for probabilities of exactly one value or for cumulative values. Power Point: https://bellevueuniversity-my
From playlist Applied Statistics (Entire Course)
The Poisson is a classic distribution used in operational risk. It often fits (describes) random variables over time intervals. For example, it might try to characterize the number of low severity, high frequency (HFLS) loss events over a month or a year. It is a discrete function that con
From playlist Statistics: Distributions
Statistics: Intro to the Poisson Distribution and Probabilities on the TI-84
This video defines a Poisson distribution and then shows how to find Poisson distribution probabilities on the TI-84.
From playlist Geometric Probability Distribution
Poisson Distribution EXPLAINED!
http://www.zstatistics.com/videos/ 0:25 Quick rundown 2:15 Assumptions underlying the Poisson distribution 3:08 Probability Mass Function calculation 5:14 Cumulative Distribution Function calculation 6:29 Visualisation of the Poisson distribution 7:25 Practice QUESTION!
From playlist Distributions (10 videos)
Lec.2E: Poisson Distribution (With Example)
Lecture with Per B. Brockhoff. Chapters: 00:00 - Example 3; 02:30 - Definition;
From playlist DTU: Introduction to Statistics | CosmoLearning.org
From playlist Contributed talks One World Symposium 2020
Radek Adamczak: Functional inequalities and concentration of measure III
Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Henrik Hult: Power-laws and weak convergence of the Kingman coalescent
The Kingman coalescent is a fundamental process in population genetics modelling the ancestry of a sample of individuals backwards in time. In this paper, weak convergence is proved for a sequence of Markov chains consisting of two components related to the Kingman coalescent, under a pare
From playlist Probability and Statistics
Stochastic Homogenization (Lecture 3) by Andrey Piatnitski
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Poisson Distribution Probability with Formula: P(x equals k)
This video explains how to determine a Poisson distribution probability by hand using a formula. http://mathispower4u.com
From playlist Geometric Probability Distribution
Half-Isolated Zeros and Zero-Density Estimates - Kyle Pratt
50 Years of Number Theory and Random Matrix Theory Conference Topic: Half-Isolated Zeros and Zero-Density Estimates Speaker: Kyle Pratt Affiliation: University of Oxford Date: June 23, 2022 We introduce a new zero-detecting method which is sensitive to the vertical distribution of zeros
From playlist Mathematics
Latent Dirichlet Allocation (Part 1 of 2)
Latent Dirichlet Allocation is a powerful machine learning technique used to sort documents by topic. Learn all about it in this video! This is part 1 of a 2 video series. Video 2: https://www.youtube.com/watch?v=BaM1uiCpj_E For information on my book "Grokking Machine Learning": https:/
From playlist Unsupervised Learning
A Taste of Calculus of Variations
Dirichlet's Principle In this video, I give you a taste of calculus of variations by illustrating Dirichlet's principle, which says that a function u is a minimizer of a certain Dirichlet energy (kinetic + potential energy) if and only if u solves Poisson's equation. This is a neat way of
From playlist Partial Differential Equations
Bounds for L-functions by Ritabrata Munshi
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
PDE Modeling: Live with the R&D team
Begins at 1:37 In this stream, Oliver Ruebenkoenig gives an overview of PDE modeling capabilities based on the Finite Element Method. The presentation will cover geometry generation, mesh generation, PDE model and boundary condition setup and solving the PDEs. Stay up-to-date on future
From playlist Live with the R&D Team
ch11 4. Poisson equation on a unit square. Wen Shen
Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Value distribution of long Dirichlet polynomials and applications to the Riemann...-Maksym Radziwill
Maksym Radziwill Value distribution of long Dirichlet polynomials and applications to the Riemann zeta-function Stanford University; Member, School of Mathematics October 1, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics