Generating functions | Functions related to probability distributions
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).
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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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
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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
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
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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
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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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From playlist Probability Theory
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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
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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
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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Probability and Random variables by VijayKumar Krishnamurthy
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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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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
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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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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
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Probability Density Function of the Normal Distribution
More resources available at www.misterwootube.com
From playlist Random Variables