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Cumulative Distribution Function - Probability

Published: 2012/02/10

Channel: Engineer Clearly

Probability density functions | Probability and Statistics | Khan Academy

Published: 2009/02/16

Channel: Khan Academy

The Probability Distribution Function (PDF) of [X]

Published: 2014/02/26

Channel: MIT OpenCourseWare

Probability Mass Function & Density Function in Hindi

Published: 2015/05/15

Channel: Bhagwan Singh Vishwakarma

Constructing a probability distribution for random variable | Khan Academy

Published: 2014/02/07

Channel: Khan Academy

Cumulative Distribution Function : Example : ExamSolutions

Published: 2009/12/05

Channel: ExamSolutions

Method of Distribution Functions 1

Published: 2014/11/03

Channel: Matthew Jones

Cumulative Distribution Function

Published: 2012/06/13

Channel: David Waldo

Calculating a Cumulative Distribution Function (CDF)

Published: 2014/02/26

Channel: MIT OpenCourseWare

Probability Density Functions / Continuous Random Variables

Published: 2009/06/26

Channel: patrickJMT

Discrete Random Variables 1) Brief Intro Probability Distribution and Function

Published: 2013/08/26

Channel: ukmathsteacher

probability density functions and cumulative distribution functions s1

Published: 2013/02/14

Channel: Rhys Steele

Continuous Random Variables: Cumulative Distribution Functions

Published: 2012/11/26

Channel: MrNichollTV

Discrete Random Variables 2) Cumulative Distribution Function

Published: 2013/08/26

Channel: ukmathsteacher

Properties of the probability distribution function

Published: 2014/11/03

Channel: Jochumzen

Mod-01 Lec-16 CUMULATIVE DISTRIBUTION FUNCTION

Published: 2015/02/19

Channel: nptelhrd

"Bivariate Density & Distribution Functions" | Probability with Educator.com

Published: 2014/03/28

Channel: Educator.com

Introduction to discrete probability distributions

Published: 2012/12/07

Channel: Khan Academy

Finding a CDF from a pdf

Published: 2015/11/26

Channel: Mr Camilleri

Cumulative Distribution Functions : Introduction : ExamSolutions

Published: 2009/12/04

Channel: ExamSolutions

The Binomial Distribution / Binomial Probability Function

Published: 2009/05/06

Channel: patrickJMT

An Introduction to Continuous Probability Distributions

Published: 2012/12/23

Channel: jbstatistics

Probability Density and Cumulative Distribution Functions

Published: 2014/03/22

Channel: Darryl Morrell

Probability : Cumulative Distribution Function F(X) : ExamSolutions

Published: 2011/04/14

Channel: ExamSolutions

Lecture - 5 Probability Distributions and Density Functions

Published: 2008/07/10

Channel: nptelhrd

Normal distribution's probability density function derived in 5min

Published: 2013/08/22

Channel: acadelivery

FRM: Normal probability distribution

Published: 2008/01/15

Channel: Bionic Turtle

Python tutorial: Cumulative Distribution Functions

Published: 2016/11/09

Channel: DataCamp

The Amazing Normal Distribution Function

Published: 2006/09/09

Channel: k0x

Discrete Probability Distribution And Discrete Cumulative Distribution Functions

Published: 2013/09/27

Channel: Q Liu

Gaussian

Published: 2012/12/11

Channel: Paul Francis

virtuallymath.com: how to write a cumulative probability distribution function

Published: 2013/06/09

Channel: calculuscoaches

PDF #1 (Deriving Cumulative Distribution Function from Probability Density Function)

Published: 2011/01/04

Channel: stepbil

Chemistry - Electron Structures in Atoms (26 of 40) Radial Probability Density Function: S-Orbital

Published: 2013/12/24

Channel: Michel van Biezen

Probability Basics II: The Cumulative Distribution Function (cdf), 2/3/2015

Published: 2015/03/03

Channel: Lutfi Al-Sharif The University of Jordan

Fermi Level Dirac Distribution Function

Published: 2016/07/02

Channel: Techtud

Method of Distribution Functions 2

Published: 2014/11/03

Channel: Matthew Jones

Section 6.1: Continuous Random Variables - Cumulative Distribution Functions (CDF)

Published: 2013/07/13

Channel: Diane Evans

Uniform distribution cumulative distribution function

Published: 2016/02/12

Channel: Lawrence Leemis

IB Math HL - 15.02.1 Cumulative Distribution Function Continuous Random Variable

Published: 2017/01/10

Channel: IBvodcasting ibvodcasting

Prob 3 2 Properties of Distribution Function

Published: 2014/01/18

Channel: Quant Education

Electronic Devices: Fermi Dirac distribution

Published: 2015/05/04

Channel: techgurukula

Tricky Cumulative Distribution Function : Edexcel S2 June 2012 Q7b : ExamSolutions Maths Revision

Published: 2015/03/30

Channel: ExamSolutions

5- Continuous Random Variable : Cumulative Distribution function ( Cdf )

Published: 2017/03/04

Channel: Hamza Nabil

Cumulative distribution function introduction

Published: 2012/11/02

Channel: learnittcom

Cumulative Distribution Function of an Order Statistic

Published: 2014/10/06

Channel: Ben Garside

Continuous probability distribution intro

Published: 2012/12/10

Channel: Khan Academy

How to plot Cumulative Distribution function using Excel !!!

Published: 2015/05/14

Channel: CHINMAYACADEMY

MA 381: Section 6.2: Functions of a Random Variable Example Worked Out at a Whiteboard

Published: 2013/07/25

Channel: Rose-Hulman Online

Geometric distribution cumulative distribution function

Published: 2016/02/02

Channel: Lawrence Leemis

From Wikipedia, the free encyclopedia

*This article describes the*distribution function*as used in physics. You may be looking for the related mathematical concepts of cumulative distribution function or probability density function.*

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In molecular kinetic theory in physics, a particle's **distribution function** is a function of seven variables, , which gives the number of particles per unit volume in single-particle phase space. It is the number of particles per unit volume having approximately the velocity near the place and time . The usual normalization of the distribution function is

Here, N is the total number of particles and *n* is the number density of particles - the number of particles per unit volume, or the density divided by the mass of individual particles.

A distribution function may be specialised with respect to a particular set of dimensions. E.g. take the quantum mechanical six-dimensional phase space, and multiply by the total space volume, to give the momentum distribution i.e. the number of particles in the momentum phase space having approximately the momentum .

Particle distribution functions are often used in plasma physics to describe wave–particle interactions and velocity-space instabilities. Distribution functions are also used in fluid mechanics, statistical mechanics and nuclear physics.

The basic distribution function uses the Boltzmann constant and temperature with the number density to modify the normal distribution:

Related distribution functions may allow bulk fluid flow, in which case the velocity origin is shifted, so that the exponent's numerator is ; is the bulk velocity of the fluid. Distribution functions may also feature non-isotropic temperatures, in which each term in the exponent is divided by a different temperature.

Plasma theories such as magnetohydrodynamics may assume the particles to be in thermodynamic equilibrium. In this case, the distribution function is *Maxwellian*. This distribution function allows fluid flow and different temperatures in the directions parallel to, and perpendicular to, the local magnetic field. More complex distribution functions may also be used since plasmas are rarely in thermal equilibrium.

The mathematical analog of a distribution is a measure; the time evolution of a measure on a phase space is the topic of study in dynamical systems.

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