Statistical distance

Statistical distance

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).

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The Distance Formula

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

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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

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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

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Teach Astronomy - Astronomical Units

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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

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From playlist Astronomy - physics of measuring distance

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From playlist Nearest Neighbour Methods

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Where does the distance formula come from

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From playlist Find the Distance of the Line Segment

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Efficiently Learning Mixtures of Gaussians - Ankur Moitra

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From playlist Mathematics

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TDA and Statistics I - Damiano - 2020

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From playlist Applied Topology - David Damiano - 2020

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Jessi Cisewski – Mapping the Distant Universe: Statistical Methods for Studying the Cosmos

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From playlist Math Mornings at Yale

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Mikael Vejdemo-Johansson (1/22/19): Multiple hypothesis testing with persistent homology

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From playlist AATRN 2019

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Test for Influential Observations

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From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics

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What are "moments" in statistics? An intuitive video!

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From playlist Descriptive Statistics (13 videos)

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Alain Trouvé et Xavier Pennec : Minicourse Shape Spaces and Geometric Statistics

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From playlist Geometry

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Unit Scale

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From playlist Unit Scale and Scale Factor

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