Theorems in statistics | Probabilistic inequalities | Statistical inequalities | Probability theorems

Le Cam's theorem

In probability theory, Le Cam's theorem, named after Lucien Le Cam (1924 – 2000), states the following. Suppose: * are independent random variables, each with a Bernoulli distribution (i.e., equal to either 0 or 1), not necessarily identically distributed. * * * (i.e. follows a Poisson binomial distribution) Then In other words, the sum has approximately a Poisson distribution and the above inequality bounds the approximation error in terms of the total variation distance. By setting pi = λn/n, we see that this generalizes the usual Poisson limit theorem. When is large a better bound is possible: It is also possible to weaken the independence requirement. (Wikipedia).

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Proof of Lemma and Lagrange's Theorem

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

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Calculus - The Fundamental Theorem, Part 1

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From playlist Calculus - The Fundamental Theorem of Calculus

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Burnside's Lemma (Part 2) - combining math, science and music

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From playlist Traditional topics, explained in a new way

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Chapter 3: Lagrange's theorem, Subgroups and Cosets | Essence of Group Theory

Lagrange's theorem is another very important theorem in group theory, and is very intuitive once you see it the right way, like what is presented here. This video also discusses the idea of subgroups and cosets, which are crucial in the development of the Lagrange's theorem. Other than c

From playlist Essence of Group Theory

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Linear Algebra 6g: Linear Dependence Example 3 - Geometric Vectors

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From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

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From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

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Irina Kogan

Generalization of an Integrability Theorem of Darboux and the Stable Configuration Condition In his monograph "Systèmes Orthogonaux" (Lecons sur les systèmes orthogonaux et les coordonnées curvilignes, Gauthier-Villars, Paris, 1910), Darboux stated three theorems providing local existence

From playlist DART X

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[BOURBAKI 2019] Un lemme de fermeture C∞ - Humilière - 16/10/2019

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From playlist BOURBAKI - 2019

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The Schwarz Lemma -- Complex Analysis

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From playlist Complex Analysis

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H. Chen - Théorème de Hilbert-Samuel arithmétique (Part2)

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From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes

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Minimal time for the bilinear control of Schrodinger (...) - K. Beauchard - Workshop 2 - CEB T2 2018

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From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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The Sports Car Of The Year (1955-1956) | British Pathé

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From playlist THE AUTOMOBILE

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Berge's lemma, an animated proof

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From playlist Summer of Math Exposition Youtube Videos

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Giorgi Ottaviani: Effective aspects of the geometry of tensors - Lecture 1

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From playlist Algebraic and Complex Geometry

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SECRET BEVERLY HILLS CAR COLLECTION | BRUCE MEYER'S GARAGE - FULL TOUR

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From playlist Ultimate Collection Tours | World's Rarest Cars

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Measure Theory 3.1 : Lebesgue Integral

In this video, I define the Lebesgue Integral, and give an intuition for such a definition. I also introduce indicator functions, simple functions, and measurable functions.

From playlist Measure Theory

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The Sports Car Of The Year (1955-1956)

The British Motor Corporation Ltd Presents - MG logo The Sports Car of the Year Title - Le Mans 1955 - superimposed over farmyard scene as sports car pulls into yard. Four M.G (Morris Garages) sports cars in courtyard. They are being worked on by mechanics. Running start at Le Mans e

From playlist MG Cars | British Pathé

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Bourbaki - 05/11/2016 - 3/4 - Mihai PĂUN

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From playlist Bourbaki - 05 novembre 2016

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Lagrange theorem

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From playlist Abstract algebra

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Paul Mercat: Yet another characterization of the Pisot conjecture

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From playlist Mathematical Aspects of Computer Science

Related pages

Total variation distance of probability measures | Poisson binomial distribution | Random variable | Probability theory | Poisson distribution | Poisson limit theorem | Bernoulli distribution