Characterization of probability distributions | Probability theorems

Lukacs's proportion-sum independence theorem

In statistics, Lukacs's proportion-sum independence theorem is a result that is used when studying proportions, in particular the Dirichlet distribution. It is named after Eugene Lukacs. (Wikipedia).

Video thumbnail

Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1

I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela

From playlist Calculus

Video thumbnail

Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem

In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

Video thumbnail

Algebra to remember when evaluating sum and difference formulas

👉 Learn how to simplify trigonometric function of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the unit circle and Pythagoras theorem to identify and obtain the values of the needed trigonometric functions of the known angles. When we know

From playlist Sum and Difference Formulas

Video thumbnail

Applying reimann sum for the midpoint rule and 3 partitions

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

Video thumbnail

Using difference of two angles with tangent to evaluate

👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the Pythagoras theorem to identify the angles and obtain all

From playlist Sum and Difference Formulas

Video thumbnail

Evaluate the sum of two angles using tangent

👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the Pythagoras theorem to identify the angles and obtain all

From playlist Sum and Difference Formulas

Video thumbnail

Keith Ball: Restricted Invertibility

Keith Ball (University of Warwick) Restricted Invertibility I will briefly discuss the Kadison-Singer problem and then explain a beautiful argument of Bourgain and Tzafriri that I included in an article commissioned in memory of Jean Bourgain.

From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability

Video thumbnail

How to find the exact value by using the sum of two angles formula with tangent

👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the Pythagoras theorem to identify the angles and obtain all

From playlist Sum and Difference Formulas

Video thumbnail

Low moments of character sums - Adam Harper

Joint IAS/Princeton University Number Theory Seminar Topic: Low moments of character sums Speaker: Adam Harper Affiliation: University of Warwick Date: April 08, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Sums of Two Cubes by Ari Shnidman

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

Video thumbnail

Georges Comte: Sets with few rational points

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

Video thumbnail

Elisabeth Gassiat: Bayesian multiple testting for dependent data and hidden Markov... - lecture 1

HYBRID EVENT Recorded during the meeting "End-to-end Bayesian Learning Methods " the October 26, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's

From playlist Probability and Statistics

Video thumbnail

The Value of Marx’s Capital - Marx’s Concept of Alienation

Marcello Musto is Professor of Sociology at York University, Toronto, and has published worldwide in more than twenty languages. He is the author of Another Marx: Early Manuscripts to the International (2018) and The Last Years of Karl Marx: An Intellectual Biography (2020). Among his most

From playlist Whitney Humanities Center

Video thumbnail

Math tutorial for using the sum of two angles formula for the tangent of 105 degrees

👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the Pythagoras theorem to identify the angles and obtain all

From playlist Sum and Difference Formulas

Video thumbnail

The distribution of values of zeta and L-functions

50 Years of Number Theory and Random Matrix Theory Conference Topic: The distribution of values of zeta and L-functions Speaker: Kannan Soundararajan Affiliation: Stanford University Date: June 21, 2022 I will survey recent progress on understanding the value distribution of zeta and L-f

From playlist Mathematics

Video thumbnail

Simplifying a trigonometric expression using tangent

👉 Learn how to simplify trigonometric function of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the unit circle and Pythagoras theorem to identify and obtain the values of the needed trigonometric functions of the known angles. When we know

From playlist Sum and Difference Formulas

Video thumbnail

Probability - Convergence Theorems for Markov Chains: Oxford Mathematics 2nd Year Student Lecture:

These lectures are taken from Chapter 6 of Matthias Winkel’s Second Year Probability course. Their focus is on the main convergence theorems of Markov chains. You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlis

From playlist Oxford Mathematics Student Lectures - Probability

Video thumbnail

Ben Green, The anatomy of integers and permutations

2018 Clay Research Conference, CMI at 20

From playlist CMI at 20

Video thumbnail

Einstein's General Theory of Relativity | Lecture 1

Lecture 1 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded September 22, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern ph

From playlist Lecture Collection | Modern Physics: Einstein's Theory

Video thumbnail

Evaluating for the tangent of an angle using the difference formula, tan

👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the Pythagoras theorem to identify the angles and obtain all

From playlist Sum and Difference Formulas

Related pages

Random variable | If and only if | Dirichlet distribution | Gamma distribution | Statistics