In statistics, probability theory, and information theory, a statistical distance quantifies the distance between two statistical objects, which can be two random variables, or two probability distributions or samples, or the distance can be between an individual sample point and a population or a wider sample of points. A distance between populations can be interpreted as measuring the distance between two probability distributions and hence they are essentially measures of distances between probability measures. Where statistical distance measures relate to the differences between random variables, these may have statistical dependence, and hence these distances are not directly related to measures of distances between probability measures. Again, a measure of distance between random variables may relate to the extent of dependence between them, rather than to their individual values. Statistical distance measures are not typically metrics, and they need not be symmetric. Some types of distance measures, which generalize squared distance, are referred to as (statistical) divergences. (Wikipedia).
This video show how to use the distance formula to determine the distance between two points. It also shows how it is derived from the Pythagorean theorem. http://mathispower4u.yolasite.com/
From playlist Using the Distance Formula / Midpoint Formula
Example: Determine the Distance Between Two Points
This video shows an example of determining the length of a segment on the coordinate plane by using the distance formula. Complete Video List: http://www.mathispower4u.yolasite.com or http://www.mathispower4u.wordpress.com
From playlist Using the Distance Formula / Midpoint Formula
Distance Formula given two points
In this video, we review how to calculate the distance if we are given the value of two points
From playlist Geometry
Teach Astronomy - Astronomical Units
http://www.teachastronomy.com/ The astronomical unit is defined as the mean distance between the Earth and the Sun. It has to be defined as the mean because the orbit is elliptical by a couple of percent. The astronomical unit is 150 million kilometers or 98 million miles. This sets the
From playlist 11. Interplanetary Bodies
Statistics - Compute the interquartile range
This video shows how to compute the interquartile range for a set of data. Remember to reorganize the data so that you can find the median values easier. For more videos visit http://mysecretmathtutor.com
From playlist Statistics
Parsecs, astronomical units and light years, distance units explained: fizzics.org
Notes to support this video lesson are here: https://www.fizzics.org/measuring-distance-in-astronomy/ Astronomical units , the parsec and the light year are different units commonly used to measure distances in astronomy. Where they come from and how they relate to our basic units of measu
From playlist Astronomy - physics of measuring distance
k-NN 4: which distance function?
[http://bit.ly/k-NN] The nearest-neighbour algorithm is sensitive to the choice of distance function. Euclidean distance (L2) is a common choice, but it may lead to sub-optimal performance. We discuss Minkowski (p-norm) distance functions, which generalise the Euclidean distance, and can a
From playlist Nearest Neighbour Methods
Where does the distance formula come from
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use of the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). 👏
From playlist Find the Distance of the Line Segment
Efficiently Learning Mixtures of Gaussians - Ankur Moitra
Efficiently Learning Mixtures of Gaussians Ankur Moitra Massachusetts Institute of Technology January 18, 2011 Given data drawn from a mixture of multivariate Gaussians, a basic problem is to accurately estimate the mixture parameters. We provide a polynomial-time algorithm for this proble
From playlist Mathematics
TDA and Statistics I - Damiano - 2020
TDA and Statistics I In this lecture we address the question of whether the collection of persistence diagrams contains a well-defined mean or average of a pair of diagrams. This is motivated by a desire to apply statistical analyses to persistence diagrams. As it turns out, there are sim
From playlist Applied Topology - David Damiano - 2020
Jessi Cisewski – Mapping the Distant Universe: Statistical Methods for Studying the Cosmos
Yale Math Mornings - Jessi Cisewski (Yale Statistics) – Mapping the Distant Universe: Statistical Methods for Studying the Cosmos Light we observe from quasars has traveled through the intergalactic medium (IGM) to reach us, and leaves an imprint of some properties of the IGM on its spectr
From playlist Math Mornings at Yale
From playlist Contributed talks One World Symposium 2020
Mikael Vejdemo-Johansson (1/22/19): Multiple hypothesis testing with persistent homology
There are methods available now for multiple hypothesis testing in a persistent homology setting. Though suggested by Cericola et al's work on ANOVA type persistent homology tests, there are no methods developed for correcting for multiple hypothesis testing. In joint work with Sayan Mukh
From playlist AATRN 2019
Test for Influential Observations
Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics
What are "moments" in statistics? An intuitive video!
See the whole descriptive statistics playlist here: https://www.youtube.com/watch?v=bfQLNyiDPsk&list=PLTNMv857s9WVStKLco6ZBOsfSGXzJ1L0f See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 1:23 Intuition behind moments 9:23 Higher order moments 12:10 Sampling adjustm
From playlist Descriptive Statistics (13 videos)
Alain Trouvé et Xavier Pennec : Minicourse Shape Spaces and Geometric Statistics
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 31, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Geometry
This video shows how to use unit scale to determine the actual dimensions of a model and how to determine the dimensions of a model from an actual dimensions. http://mathispower4u.yolasite.com/
From playlist Unit Scale and Scale Factor