The classical definition or interpretation of probability is identified with the works of Jacob Bernoulli and Pierre-Simon Laplace. As stated in Laplace's Théorie analytique des probabilités, The probability of an event is the ratio of the number of cases favorable to it, to the number of all cases possible when nothing leads us to expect that any one of these cases should occur more than any other, which renders them, for us, equally possible. This definition is essentially a consequence of the principle of indifference. If elementary events are assigned equal probabilities, then the probability of a disjunction of elementary events is just the number of events in the disjunction divided by the total number of elementary events. The classical definition of probability was called into question by several writers of the nineteenth century, including John Venn and George Boole. The frequentist definition of probability became widely accepted as a result of their criticism, and especially through the works of R.A. Fisher. The classical definition enjoyed a revival of sorts due to the general interest in Bayesian probability, because Bayesian methods require a prior probability distribution and the principle of indifference offers one source of such a distribution. Classical probability can offer prior probabilities that reflect ignorance which often seems appropriate before an experiment is conducted. (Wikipedia).
Statistics: Ch 4 Probability in Statistics (20 of 74) Definition of Probability
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the “strict” definition of experimental (empirical) and theoretical probability. Next video in this series can be seen
From playlist STATISTICS CH 4 STATISTICS IN PROBABILITY
Probability - Quantum and Classical
The Law of Large Numbers and the Central Limit Theorem. Probability explained with easy to understand 3D animations. Correction: Statement at 13:00 should say "very close" to 50%.
From playlist Physics
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
This video introduces probability and determine the probability of basic events. http://mathispower4u.yolasite.com/
From playlist Counting and Probability
(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian
An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.
From playlist Probability Theory
Probability: Definitions and Elementary Examples
This is the first video of a series from the Worldwide Center of Mathematics explaining the basics of probability. This video deals with some basic definitions and elementary probability examples. For more math videos, visit our channel or go to www.centerofmath.org.
From playlist Basics: Probability and Statistics
What is a conditional probability?
An introduction to the concept of conditional probabilities via a simple 2 dimensional discrete example. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm For more inform
From playlist Bayesian statistics: a comprehensive course
From playlist f. Probability
Definitions of random variable, Outcome versus Event, Mutually exclusive events, and Exhaustive events. For more financial risk videos, visit our website! http://www.bionicturtle.com
From playlist Statistics: Introduction
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - C.Palazuelos
Carlos Palazuelos (Instituto de Ciencias Matematicas, Madrid) / 15.09.17 Title: Classical vs Quantum communication in XOR games Abstract: In this talk we will study the value of XOR games G when the players are allowed to use a limited amount of one-way classical (resp. quantum) commun
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Fermi Ma - Post-Quantum Proof Techniques, Part 1: Introduction to Quantum Rewinding - IPAM at UCLA
Recorded 28 July 2022. Fermi Ma of the University of California, Berkeley, presents "Post-Quantum Proof Techniques, Part 1: Introduction to Quantum Rewinding" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: Will cryptography survive quantum adversaries? Ba
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography
Lecture 7 | Quantum Entanglements, Part 1 (Stanford)
Lecture 7 of Leonard Susskind's course concentrating on Quantum Entanglements (Part 1, Fall 2006). Recorded November 6, 2006 at Stanford University. This Stanford Continuing Studies course is the first of a three-quarter sequence of classes exploring the "quantum entanglements" in moder
From playlist Course | Quantum Entanglements: Part 1 (Fall 2006)
Discussion Meeting for Thermalization, Many body localization and Hydrodynamics
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Dominique Unruh - The quantum random oracle model Part 1 of 2 - IPAM at UCLA
Recorded 28 July 2022. Dominique Unruh of Tartu State University presents "The quantum random oracle model I" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: The random oracle is a popular heuristic in classical security proofs that allows us to construct
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography
Camille Male - Distributional symmetry of random matrices...
Camille Male - Distributional symmetry of random matrices and the non commutative notions of independence
From playlist Spectral properties of large random objects - Summer school 2017
Frédéric Patras - Noncommutative Wick Polynomials
Wick polynomials are at the foundations of QFT (they encode normal orderings) and probability (they encode chaos decompositions). In this lecture, we survey the construction and properties of noncommutative (or free) analogs using shuffle Hopf algebra techniques. Based on joint works wit
From playlist Combinatorics and Arithmetic for Physics: special days
Mario Berta: "Characterising quantum correlations of fixed dimension"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Characterising quantum correlations of fixed dimension" Mario Berta - Imperial College London Abstract: We give a converging semidefinite programming hierarchy of outer approximations for the set of quantum correlations
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Romain Biard: Fractional Poisson process: long-range dependence and applications in ruin theory
Abstract : We study a renewal risk model in which the surplus process of the insurance company is modeled by a compound fractional Poisson process. We establish the long-range dependence property of this non-stationary process. Some results for the ruin probabilities are presented in vario
From playlist Probability and Statistics
Sidney Coleman, Quantum Mechanics in Your Face [1994]
S. R. Coleman, Quantum Mechanics in Your Face. A lecture given by Sidney Coleman at the New England sectional meeting of the American Physical Society (Apr. 9, 1994). Video taken from: http://media.physics.harvard.edu/video/?id=SidneyColeman_QMIYF
From playlist Mathematics
(PP 6.2) Multivariate Gaussian - examples and independence
Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.
From playlist Probability Theory