Generating functions | Functions related to probability distributions

Probability-generating function

In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are often employed for their succinct description of the sequence of probabilities Pr(X = i) in the probability mass function for a random variable X, and to make available the well-developed theory of power series with non-negative coefficients. (Wikipedia).

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Example of Probability Density Function

Probability: The value of a randomly selected car is given by a random variable X whose distribution has density function f(x) =x^{-2} for x gt 1. Given that the value of a given randomly selected car is greater than 5, calculate the probability that the value is less than or equal to 1

From playlist Probability

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Probability & Statistics (8 of 62) The Probability Function - A First Look

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the probability function. http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 Next video in series: http://youtu.be/zReGHNdWvIo

From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS

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Probability Distribution Functions and Cumulative Distribution Functions

In this video we discuss the concept of probability distributions. These commonly take one of two forms, either the probability distribution function, f(x), or the cumulative distribution function, F(x). We examine both discrete and continuous versions of both functions and illustrate th

From playlist Probability

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Probability Density Functions

This calculus 2 video tutorial provides a basic introduction into probability density functions. It explains how to find the probability that a continuous random variable such as x in somewhere between two values by evaluating the definite integral from a to b. The probability is equival

From playlist New Calculus Video Playlist

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Chp9Pr41: Probability Density Functions

A continuous random variable can be described using a function called the probability density function. This video shows us how to prove that a function is a probability density function. This is Chapter 9 Problem 41 from the MATH1231/1241 algebra notes. Presented by Dr Diana Combe from th

From playlist Mathematics 1B (Algebra)

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Random variables, means, variance and standard deviations | Probability and Statistics

We introduce the idea of a random variable X: a function on a probability space. Associated to such a function is something called a probability distribution, which assigns probabilities, say p_1,p_2,...,p_n to the various possible values of X, say x_1,x_2,...,x_n. The probabilities p_i h

From playlist Probability and Statistics: an introduction

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(PP 3.4) Random Variables with Densities

(0:00) Probability density function (PDF). (3:20) Indicator functions. (5:00) Examples of random variables with densities: Uniform, Exponential, Beta, Normal/Gaussian. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5

From playlist Probability Theory

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Cumulative Distribution Functions and Probability Density Functions

This statistics video tutorial provides a basic introduction into cumulative distribution functions and probability density functions. The probability density function or pdf is f(x) which describes the shape of the distribution. It can tell you if you have a uniform, exponential, or nor

From playlist Statistics

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Probability Distribution Functions

We explore the idea of continuous probability density functions in a classical context, with a ball bouncing around in a box, as a preparation for the study of wavefunctions in quantum mechanics.

From playlist Quantum Mechanics Uploads

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Understanding the basic reproduction number via branching process by Sujit Kumar Nath

Seminar Understanding the basic reproduction number via branching process Speaker: Sujit Kumar Nath (University of Leeds) Date: Wed, 30 September 2020, 15:00 to 16:30 Venue: Online seminar Abstract Branching process is a random process having many applications in physics, biology a

From playlist Seminar Series

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Lecture 19: Generative Models I

Lecture 19 is the first of two lectures about generative models. We compare supervised and unsupervised learning, and also compare discriminative vs generative models. We discuss autoregressive generative models that explicitly model densities, including PixelRNN and PixelCNN. We discuss a

From playlist Tango

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Probability and Random variables by VijayKumar Krishnamurthy

Winter School on Quantitative Systems Biology DATE: 04 December 2017 to 22 December 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Wint

From playlist Winter School on Quantitative Systems Biology

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Fate of rare mutations: branching processes by Lindi Wahl

Program Fourth Bangalore School on Population Genetics and Evolution ORGANIZERS: Deepa Agashe and Kavita Jain DATE: 27 January 2020 to 07 February 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore No living organism escapes evolutionary change, and evolutionary biology thus connect

From playlist Fourth Bangalore School On Population Genetics And Evolution

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What is the Schrödinger Equation? A basic introduction to Quantum Mechanics

This video provides a basic introduction to the Schrödinger equation by exploring how it can be used to perform simple quantum mechanical calculations. After explaining the basic structure of the equation, the infinite square well potential is used as a case study. The separation of variab

From playlist Quantum Physics

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Jonathan Katz - Introduction to Cryptography Part 1 of 3 - IPAM at UCLA

Recorded 25 July 2022. Jonathan Katz of the University of Maryland presents "Introduction to Cryptography I" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: This lecture will serve as a "crash course" in modern cryptography for those with no prior exposure

From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography

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Python for Data Analysis: Probability Distributions

This video covers the basics of working with probability distributions in Python, including the uniform, normal, binomial, geometric, exponential and Poisson distributions. It also includes a discussion of random number generation and setting the random seed. Subscribe: ► https://www.yout

From playlist Python for Data Analysis

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The Curious World of Probability Generating Functions #SoME2

I largely followed James Martin's notes and notation as this is where I actually learned about probability generating functions in the first place as an undergrad. I edited this video using Windows 11's version of movie maker and believe me when I say it is really bad! There are some obvi

From playlist Summer of Math Exposition 2 videos

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Statistical physics of rare events and large deviations - 1 by Yariv Kafri

PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - XI (ONLINE) ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit DATE: 29 June 2020 to 10 July 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the school will be conducted through o

From playlist Bangalore School on Statistical Physics - XI (Online)

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Deep Learning 8: Unsupervised learning and generative models

Shakir Mohamed, Research Scientist, discusses unsupervised learning and generative models as part of the Advanced Deep Learning & Reinforcement Learning Lectures.

From playlist Learning resources

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Probability Density Function of the Normal Distribution

More resources available at www.misterwootube.com

From playlist Random Variables

Related pages

One-sided limit | Z-transform | Formal power series | Abel's theorem | Factorial moment | Degenerate distribution | Derivative | Radius of convergence | Absolute convergence | Poisson distribution | Generating function | Law of total expectation | Variance | Integer | Compound Poisson process | Power series | Probability distribution | Negative binomial distribution | Integer lattice | Geometric distribution | Random variable | Expected value | Binomial distribution | Complex number | Moment-generating function | Probability theory | Fair coin | Probability mass function | Bernoulli distribution | Factorial moment generating function | Galton–Watson process | Characteristic function (probability theory)