Statistical distance | Point estimation performance

Pitman closeness criterion

In statistical theory, the Pitman closeness criterion, named after E. J. G. Pitman, is a way of comparing two candidate estimators for the same parameter. Under this criterion, estimator A is preferred to estimator B if the probability that estimator A is closer to the true value than estimator B is greater than one half. Here the meaning of closer is determined by the absolute difference in the case of a scalar parameter, or by the Mahalanobis distance for a vector parameter. (Wikipedia).

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Fraction Equivalence Set 1

Are the fraction pairs equal or not? If so, which is larger?

From playlist Fraction Equivalence

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Prob & Stats - Bayes Theorem (2 of 24) What is the Sensitivity of a Test?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is and give examples of the sensitivity of a test. The sensitivity of a test indicates the probability that the subject will have a POSITIVE result when the subject is actually POSITIVE.

From playlist PROB & STATS 4 BAYES THEOREM

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Hierarchical Clustering 4: the Lance-Williams algorithm

[http://bit.ly/s-link] The Lance-Williams algorithm provides a single, efficient algorithm to implement agglomerative clustering for different linkage types. We go over the algorithm and provide the update equations for single-link, complete-link and average-link definitions of inter-clust

From playlist Hierarchical Clustering

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Alberto Del Pia: Proximity in concave integer quadratic programming

A classic result by Cook, Gerards, Schrijver, and Tardos provides an upper bound of n∆ on the proximity of optimal solutions of an Integer Linear Programming problem and its standard linear relaxation. In this bound, n is the number of variables and ∆ denotes the maximum of the absolute va

From playlist Workshop: Tropical geometry and the geometry of linear programming

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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

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HOW IT WORKS: Power Steering

This explains the operation of hydraulic or electric systems for assisting in turning the front wheels of vehicles.

From playlist Mechanical Engineering

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Hypothesis Test: Two Population Proportions

This video explains how to conduct a hypothesis test on two population proportions. http://mathispower4u.com

From playlist Hypothesis Test with Two Samples

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B3 The Derivative

In this video I briefly touch on the derivative as the representative of the instantaneous slope and mention the use of the concept of a limit to explain the slope at a point on a curve.

From playlist Biomathematics

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Determine Outliers by Hand (Even)

This video explains how to determine outliers of a data set by hand with an even number of data values. http://mathispower4u.com

From playlist Statistics: Describing Data

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Humpback Whales to the Rescue | HowStuffWorks NOW

Marine ecologists have evidence that humpback whales consistently rescue not only their own calves, but other animals from killer whale attacks. Why are they sticking up for seals and sunfish? Is for reasons of altruism? Protection? Or revenge? MUSIC: ‘Night Owl’ by Broke for Free VIDEO

From playlist STBYM

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Amy Herring: Centered partition processes: lumping versus splitting in sparse health data

Abstract: In many health studies, interest often lies in assessing health effects on a large set of outcomes or specific outcome subtypes, which may be sparsely observed, even in big data settings. For example, while the overall prevalence of birth defects is not low, the vast heterogeneit

From playlist Probability and Statistics

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Dinosaur Discovery & Updates on Cloud Rats | Natural News from The Field Museum | Ep. 1

We’re kicking off the first episode in our new news series, Natural News from The Field Museum! Stay tuned for the next installment in two weeks, and check out our behind-the-scenes tour of the set next week right here on The Brain Scoop. ↓ More info + Links! ↓ ---------------------------

From playlist The Brain Scoop: Recent Uploads

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Ivan Corwin: "Polymer partition functions and the geometric RSK correspondence"

Asymptotic Algebraic Combinatorics 2020 "Polymer partition functions and the geometric RSK correspondence" Ivan Corwin - Columbia University Abstract: I will describe two results based on the geometric lifting of the RSK correspondence (gRSK). The first says that partition functions for

From playlist Asymptotic Algebraic Combinatorics 2020

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Abstraction - Seminar 4 - Sufficient statistics and the Koopman-Pitman-Darmois theorem

This seminar series is on the relations among Natural Abstraction, Renormalisation and Resolution. This week Alexander Oldenziel explains some more of Wenworth's view of natural abstractions, presents the story of sufficient statistics and the Koopman-Pitman-Darmois theorem. The webpage f

From playlist Abstraction

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"THE MAIL ROOM IS FILLING!" Titanic Survivor Account 1 | Joseph Boxhall's - IT'S HISTORY

Mr Joseph Groves Boxhall was born in Hull, Yorkshire, on March 23,1884. He was the second child of Joseph and Miriam Boxhall, and had two sisters who survived into adulthood (a third sister died in infancy). The Boxhall family had a strong seafaring tradition; his grandfather had been a ma

From playlist IT'S HISTORY Feature Videos

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Framing Dunbar

The Paul Laurence Dunbar Centennial Conference, sponsored by Stanford's American Studies Program, explores new critical perspectives on the diversity of Dunbar's literary production as a poet, novelist, lyricist, dramatist, and journalist. William J. Maxwell, "Dunbar's Bohemian Gallery

From playlist Event | Paul Laurence Dunbar Centennial Conference

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Why I Teach Useless Machine Learning Algorithms

This is a single lecture from a course. If you you like the material and want more context (e.g., the lectures that came before), check out the whole course: https://sites.google.com/umd.edu/2021cl1webpage/ Resources: https://www.aclweb.org/anthology/D19-1224/ (Including homeworks and r

From playlist Computational Linguistics I

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Planetary Smackdown: Mars vs. Venus with Briony Horgan and Jaime Cordova (SciFri Live Zoom Call-in)

Because of the pandemic, our show is currently pre-recorded, so the #SciFri team have not able to take our audience's calls. We miss having listeners' voices on our radio program. We still want to hear from folks on our VoxPop app, but we're also experimenting with something new—we’re invi

From playlist SciFri Zoom Call-in Shows

Related pages

Statistical theory | Estimator | Mahalanobis distance