Statistical laws | Probability theory
The law of truly large numbers (a statistical adage), attributed to Persi Diaconis and Frederick Mosteller, states that with a large enough number of independent samples, any highly implausible (i.e. unlikely in any single sample, but with constant probability strictly greater than 0 in any sample) result is likely to be observed. Because we never find it notable when likely events occur, we highlight unlikely events and notice them more. The law is often used to falsify different pseudo-scientific claims; as such, it is sometimes criticized by fringe scientists. The law is meant to make a statement about probabilities and statistical significance: in large enough masses of statistical data, even minuscule fluctuations attain statistical significance. Thus in truly large numbers of observations, it is paradoxically easy to find significant correlations, in large numbers, which still do not lead to causal theories (see: spurious correlation), and which by their collective number, might lead to obfuscation as well. The law can be rephrased as "large numbers also deceive", something which is counter-intuitive to a descriptive statistician. More concretely, skeptic Penn Jillette has said, "Million-to-one odds happen eight times a day in New York" (population about 8,000,000). (Wikipedia).
The Law of Large Numbers - Explained
The law of large numbers is one of the most intuitive ideas in statistics, however, often the strong and weak versions of the law can be difficult to understand. In this video, I breakdown what the definitions of both laws mean and use this as a way to introduce the concepts of convergence
From playlist Summer of Math Exposition 2 videos
How big are complex numbers? We discuss a way of measuring them via the modulus. The ideas use Pythagorus' theorem. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
MINI-LESSON 3: The Law of Large Numbers. A very intuitive introduction.
Everything in empirical science is based on the law of large numbers. Remember that it fails under fat tails.
From playlist MINI LECTURES IN PROBABILITY
"Understand power notation and calculate simple powers, e.g. squares, cubes."
From playlist Number: Powers, Roots & Laws of Indices
This statistics video tutorial provides a basic introduction into the law of large numbers. The basic idea behind this law is that the observed probability approaches the theoretical probability as the number of experimental trials increases. My Website: https://www.video-tutor.net Patr
From playlist Statistics
Fundamental Principle of Counting Example 2
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Short video on how to use the fundamental rule of counting, also called the rule of product or simply the multiplication rule.
From playlist Probability and Counting
(PP 5.5) Law of large numbers and Central limit theorem
(0:00) Definition of iid. (1:16) Law of large numbers (LLN). (6:11) Central limit theorem (CLT). A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4
From playlist Probability Theory
Significant Figures (2 of 2: Determining the most significant number)
More resources available at www.misterwootube.com
From playlist Applications of Measurement
Andreas "Andy" Bechtolsheim: The Process of Innovation" - Stanford Engineering Hero Lecture
More than 30 years ago as a Stanford graduate student, Andreas "Andy" Bechtolsheim designed a simple but powerful computer workstation that would help define the modern technology era and launch Sun Microsystems. He's since founded three more startups, including cloud-networking company Ar
From playlist Stanford Engineering Hero Lectures
Intro to Probabilities in Statistics (Full Length)
An AP Statistics lecture introducing probabilities, randomness, Law of Large Numbers, Probability Model, Tree Diagram, 5 Rules of Probability,etc. Closed Captions done by Rami Iska and my friend and co-worker Joh Trunk. Thank you so very much for your help:) Check out http://www.ProfRob
From playlist AP Statistics
Paul Davies - What is the Origin of the Laws of Nature?
From the fusion of stars to the evolution of life, the world works because the laws of nature or physics make things happen. Our universe as a whole may have come into existence through the laws of quantum physics. But from where did the laws of quantum physics come? Have they always exist
From playlist Closer To Truth - Paul Davies Interviews
Support Vsauce, your brain, Alzheimer's research, and other YouTube educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowship, a program that gives money and resour
From playlist Human Behavior
Benford's Law - How mathematics can detect fraud!
UPDATE 11-11-2020 Hi all, this video is currently being shared in relation to the 2020 USA election. Benford's Law applies when the dataset is a form of geometic growth over several orders of magnitude, such as the lengths of rivers. So would Benford's Law apply to an election? Here is
From playlist My Maths Videos
Artificial Stupidity: The New AI and the Future of Fintech
Andrew W. Lo (Massachusetts Institute of Technology) Theoretically Speaking Series, Fall 2019 https://simons.berkeley.edu/events/andrewlo
From playlist AI talks
Teach Astronomy - Brain Size and Complexity
http://www.teachastronomy.com/ Humans are special. There is no escaping that fact. On this planet, humans are the only creatures that have evolved the capability to adapt to their environment and control their global environment. Humans have also developed the ability for abstract thoug
From playlist 26. Life on Earth
Ex: Linear Equation Application with One Variable - Number Problem
This video provides and example of how to solve a number problem using a linear equation with one variable. One number is a multiple of the other. The difference is a constant. Find the two numbers. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Whole Number Applications
Set Theory (Part 18): The Rational Numbers are Countably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a
From playlist Set Theory by Mathoma
Misconceptions in Data Analysis: Study Hall Data Literacy #2: Crash Course + Study Hall
We like to think of numbers as being pretty objective. 1 + 1 is 2. Always. But just like words or images, numbers are open to a whole smorgasbord of possible interpretations when it comes to data. Two people can take the same data set and end up with completely different results just based
From playlist Study Hall: Data Literacy