In mathematics — specifically, in geometric measure theory — a uniformly distributed measure on a metric space is one for which the measure of an open ball depends only on its radius and not on its centre. By convention, the measure is also required to be Borel regular, and to take positive and finite values on open balls of finite radius. Thus, if (X, d) is a metric space, a Borel regular measure μ on X is said to be uniformly distributed if for all points x and y of X and all 0 < r < +∞, where (Wikipedia).
Uniform Probability Distribution Examples
Overview and definition of a uniform probability distribution. Worked examples of how to find probabilities.
From playlist Probability Distributions
The Normal Distribution (1 of 3: Introductory definition)
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From playlist The Normal Distribution
Identifying, symmetric, skewed, uniform, and bell-shaped distributions
From playlist Unit 1: Descriptive Statistics
Conditions Required to Use Normal to Approximate Sample Proportions
Sample proportions, like binomial successes, are discrete. As long as large samples are taken so np and n(1-p) are both at least 10, a continuous normal distribution yields an acceptable approximation of the probabilities associated with a sample proportion distribution.
From playlist Unit 7 Probability C: Sampling Distributions & Simulation
How to find the number of standard deviations that it takes to represent all the data
👉 Learn how to find the variance and standard deviation of a set of data. The variance of a set of data is a measure of spread/variation which measures how far a set of numbers is spread out from their average value. The standard deviation of a set of data is a measure of spread/variation
From playlist Variance and Standard Deviation
A Gentle Introduction to the Normal Probability Distribution (10-4)
A normal distribution models…pretty much everything! The Normal Curve is the idealized distribution, a smooth, continuous, symmetrical line. The normal curve is used with interval and ratio scales, continuous data. The most frequent score is the middle score, less frequent scores above and
From playlist Continuous Probability Distributions in Statistics (WK 10 - QBA 237)
How to find the variance and standard deviation from a set of data
👉 Learn how to find the variance and standard deviation of a set of data. The variance of a set of data is a measure of spread/variation which measures how far a set of numbers is spread out from their average value. The standard deviation of a set of data is a measure of spread/variation
From playlist Variance and Standard Deviation
UNIFORM Probability Distribution for Discrete Random Variables (9-5)
Uniform Probability Distribution: (i.e., a rectangular distribution) is a probability distribution involving one random variable with a constant probability. Each potential outcome is equally likely, such as flipping coin and getting heads is always 50/50. On Chaos Night, Dante experiment
From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)
Determining values of a variable at a particular percentile in a normal distribution
From playlist Unit 2: Normal Distributions
Discrepancy of generalized polynomials by Anirban Mukhopadhyay
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Incidence Theory and Uniform Distribution in Higher Dimensions - Alex Iosevich
Special Year Research Seminar Topic: Incidence Theory and Uniform Distribution in Higher Dimensions Speaker: Alex Iosevich Affiliation: University of Rochester Date: February 14, 2023 2:00pm Simonyi Hall 101 Incidence bound for points and spheres in higher dimensions generally becomes tr
From playlist Mathematics
Distinguished Visitor Lecture Series Finding better randomness Theodore A. Slaman University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
37 - The Poisson distribution - an introduction - 1
This video provides an introduction to the Poisson distribution, providing a definition, discussing example situations which might be modelled adequately using this distribution, deriving its mean, providing simulations in Matlab which demonstrate its shape, discussing how it can be used t
From playlist Bayesian statistics: a comprehensive course
False Discovery Rates, FDR, clearly explained
One of the best ways to prevent p-hacking is to adjust p-values for multiple testing. This StatQuest explains how the Benjamini-Hochberg method corrects for multiple-testing and FDR. For a complete index of all the StatQuest videos, check out: https://statquest.org/video-index/ If you'd
From playlist High Throughput Sequencing
Quantum Ergodicity for the Uninitiated - Zeev Rudnick
Zeev Rudnick Tel Aviv University; Member, School of Mathematics October 26, 2015 https://www.math.ias.edu/seminars/abstract?event=47561 A key result in spectral theory linking classical and quantum mechanics is the Quantum Ergodicity theorem, which states that in a system in which the cl
From playlist Members Seminar
Complex dynamics and arithmetic equidistribution – Laura DeMarco – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.5 Complex dynamics and arithmetic equidistribution Laura DeMarco Abstract: I will explain a notion of arithmetic equidistribution that has found application in the study of complex dynamical systems. It was first int
From playlist Dynamical Systems and ODE
From playlist Contributed talks One World Symposium 2020
Joscha Prochno: The large deviations approach to high-dimensional convex bodies, lecture III
Given any isotropic convex body in high dimension, it is known that its typical random projections will be approximately standard Gaussian. The universality in this central limit perspective restricts the information that can be retrieved from the lower-dimensional projections. In contrast
From playlist Workshop: High dimensional spatial random systems
Find a Basic Uniform Distribution Probability from a Given Graph
This video explains two ways to determine a probability from the graph of a uniform distribution.
From playlist Continuous Random Variables