Experiment (probability theory)
In probability theory, an experiment or trial (see below) is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space. An experiment is said to be random if it has more than one possible outcome, and deterministic if it has only one. A random experiment that has exactly two (mutually exclusive) possible outcomes is known as a Bernoulli trial. When an experiment is conducted, one (and only one) outcome results— although this outcome may be included in any number of events, all of which would be said to have occurred on that trial. After conducting many trials of the same experiment and pooling the results, an experimenter can begin to assess the empirical probabilities of the various outcomes and events that can occur in the experiment and apply the methods of statistical analysis. (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
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Scientific vs. STATISTICAL Experiments: Getting an Outcome (9-1)
In a science experiment, we measure stuff; in a statistical experiment, we compute probability. Scientific experiments yield replicable outcomes; statistical experiments yield random outcomes. Random means that we cannot reliably predict the outcome. A Random Variable is any outcome of a
From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)
Statistics Lesson #3: Randomized Experiments & Observational Studies
This video is for my College Algebra and Statistics students (and anyone else who may find it helpful). I define a randomized experiment, show a couple of examples, and define some important vocabulary related to experiments. Then I define an observational study, give an example, and discu
From playlist Statistics
Introductory Probability Theory
A video introducing and deriving the foundations of probability theory up until the law of total probability and Bayes' theorem. This is an entry to the Summer of Math Exposition held by @3blue1brown. #SoME2 #3b1b #probability
From playlist Summer of Math Exposition 2 videos
(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
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
The measurement problem and some mild solutions by Dustin Lazarovici (Lecture - 04)
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
The Most Powerful Tool Based Entirely On Randomness
We see the effects of randomness all around us on a day to day basis. In this video we’ll be discussing a couple of different techniques that scientists use to understand randomness, as well as how we can harness its power. Basically, we'll study the mathematics of randomness. The branch
From playlist Classical Physics by Parth G
(PP 3.1) Random Variables - Definition and CDF
(0:00) Intuitive examples. (1:25) Definition of a random variable. (6:10) CDF of a random variable. (8:28) Distribution of a random variable. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4
From playlist Probability Theory
Astronomy Cast Ep. 249: Schrödinger's Cat
You've probably all heard of Schrödinger's Cat, that strange thought experiment designed by Erwin Schrödinger to show how the strange predictions of quantum theory could impact the real world. No cats will be harmed in the making of this episode, maybe.
From playlist Astronomy Cast
The Primacy of Experiment - Kyle Cranmer
The Universe Speaks in Numbers Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise
From playlist The Universe Speaks in Numbers
The biggest problem in the Many Worlds theory of quantum mechanics
Here's the next video https://youtu.be/cKlRnutiv-k
From playlist Some Quantum Mechanics
Implications | History and Philosophy of Astronomy 9.06
Learn about the history and philosophy of astronomy from Professor Impey, a University Distinguished Professor of Astronomy at the University of Arizona, with our Knowing the Universe: History and Philosophy of Astronomy course here on YouTube. This video is part of module 9, Quantum Theor
From playlist History and Philosophy Course Module 9: Quantum Theory
Robert Spekkens Public Lecture: The Riddle of the Quantum Sphinx
In his Feb. 7 public lecture at Perimeter Institute, Robert Spekkens will explain why he believes that many quantum mysteries are a result of a category mistake concerning the nature of quantum states. Perimeter Institute (charitable registration number 88981 4323 RR0001) is the world’s l
From playlist Public Lecture Series
Donald Hoffman on Reality, Consciousness, and Conscious Agents | Closer To Truth Chats
Donald Hoffman discusses the nature of reality, what is real, his theory of consciousness, and how this theory affects everything from artificial intelligence to alien life and the Fermi Paradox. Donald Hoffman's Website: http://www.cogsci.uci.edu/~ddhoff/ Follow Donald Hoffman on Twitter
From playlist Closer To Truth - Donald Hoffman Interviews
Jürg Fröhlich - De la physique classique aux miracles du monde quantique
Dans cet exposé je discuterai quelques aspects de la transition d’une description classique de la Nature à sa description quantique, dont de nombreux scientifiques prétendent qu’elle n’est toujours pas achevée à leur satisfaction. Ce qui est certain, c’est que le déterminisme et la réversi
From playlist Évenements grand public
Richard P. Feynman: Theory, Prediction, Observation
Richard P. Feynman Lecture #7 Cornell University 1964 My personal favorite min of these lectures occurs from 16:36 to 17:36, but keep going to at least 23:36
From playlist Feynman's Lectures
The measurement problem and some mild solutions by Dustin Lazarovici (Lecture - 02)
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
(PP 4.1) Expectation for discrete random variables
(0:00) Definition of expectation for discrete r.v.s. (4:17) Well-defined expectation. (8:15) E(X) may exist and be infinite. (10:58) E(X) might fail to exist. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4
From playlist Probability Theory