Extreme value data | Stability (probability)

Stability postulate

In probability theory, to obtain a nondegenerate limiting distribution of the extreme value distribution, it is necessary to "reduce" the actual greatest value by applying a linear transformation with coefficients that depend on the sample size. If are independent random variables with common probability density function then the cumulative distribution function of is If there is a limiting distribution of interest, the stability postulate states the limiting distribution is some sequence of transformed "reduced" values, such as , where may depend on n but not on x. To distinguish the limiting cumulative distribution function from the "reduced" greatest value from F(x), we will denote it by G(x). It follows that G(x) must satisfy the functional equation This equation was obtained by Maurice René Fréchet and also by Ronald Fisher. Boris Vladimirovich Gnedenko has shown there are no other distributions satisfying the stability postulate other than the following: * Gumbel distribution for the minimum stability postulate * If and then where and * In other words, * Extreme value distribution for the maximum stability postulate * If and then where and * In other words, * Fréchet distribution for the maximum stability postulate * If and then where and * In other words, * v * t * e * v * t * e (Wikipedia).

Video thumbnail

Geometry - Ch. 2: Reasoning and Proofs (21 of 46) What is a Postulate?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a postulate. A postulate, or axium, is a proposition that is not proved or demonstrated but considered to be self evident. It is a “truth” that is accepted. A postulate serves as a sta

From playlist GEOMETRY CH 2 PROOFS & REASONING

Video thumbnail

Geometry - Ch. 2: Reasoning and Proofs (22 of 46) Postulate 1: Ruler (Numberline)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Postulate 1:The Ruler, or Number Line, Postulate – points on a line have corresponding points on a number line such that they can have “x-values” called “coordinates” of the points (x1, x2, x3

From playlist GEOMETRY CH 2 PROOFS & REASONING

Video thumbnail

Geometry - Ch. 3: Proofs (5 of 17) Postulates Needed for Proofs

Visit http://ilectureonline.com for more math and science lectures! In this video I will define what is a postulate, and review some of the basic postulates needed for geometry proofs: linear pair, ruler, segment addition, protractor, angle addition, line intersecting lines, and plane. T

From playlist GEOMETRY CH 3 PROOFS

Video thumbnail

Geometry - Ch. 2: Reasoning and Proofs (29 of 46) Postulate 8: The Plane Postulate

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Postulate 8: The Plane Postulate – Through any 3 non-collinear points, exists exactly one plane. Next video in this series can be seen at: https://youtu.be/NuiTMuNaUdA

From playlist GEOMETRY CH 2 PROOFS & REASONING

Video thumbnail

Postulates of Quantum Mechanics

We discuss the primary postulates of quantum mechanics, and how we defined expectation values of momentum and position.

From playlist Quantum Mechanics Uploads

Video thumbnail

28.2 The Postulates of Special Relativity

This video covers Section 28.2 of Cutnell & Johnson Physics 10e, by David Young and Shane Stadler, published by John Wiley and Sons. The lecture is part of the course General Physics - Life Sciences I and II, taught by Dr. Boyd F. Edwards at Utah State University. This video was produced

From playlist Lecture 28. Special Relativity

Video thumbnail

Geometry - Ch. 4: Lines and Angles (2 of 37) Postulates of Parallel and Perpendicular Lines

Visit http://ilectureonline.com for more math and science lectures! In this video I will define and explain postulates of parallel and perpendicular lines. 1) If there is a line and a point not on the line then there is exactly one line through the point PARALLEL to the initial line. 2) I

From playlist GEOMETRY CH 4 LINES AND ANGLES

Video thumbnail

Chemistry 51A: Organic Chemistry. Lecture 24

UCI Chem 51A Organic Chemistry (Fall 2014) Lec 24. Organic Chemistry -- Factors that Affect the Rate of the SN1 Reaction View the complete course: http://ocw.uci.edu/courses/chem_51a_organic_chemistry.html Instructor: Susan King, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http

From playlist Chemistry 51A: Organic Chemistry

Video thumbnail

Nobody Knows Why Wave Functions Exist - So We Just Assume They Do (Quantum Mechanics Postulates)

Wave functions are a big part of the current formulation of quantum mechanics. But why do they exist? Well currently nobody knows! Every theory in physics is based on a set of assumptions, also known as axioms or postulates. In other words, we develop theories by first starting with a set

From playlist Quantum Physics by Parth G

Video thumbnail

Chem 201. Organic Reaction Mechanisms I. Lecture 05. Carbocations

UCI Chem 201 Organic Reaction Mechanisms I (Fall 2012) Lec 05. Organic Reaction Mechanism -- Carbocations View the complete course: http://ocw.uci.edu/courses/chem_201_organic_reactions_mechanisms_i.html Instructor: David Van Vranken, Ph.D. License: Creative Commons BY-NC-SA Terms of Use:

From playlist Chem 201: Organic Reaction Mechanisms I

Video thumbnail

Large deviations and stochastic stability by Jorge Kurchan

Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst

From playlist Large deviation theory in statistical physics: Recent advances and future challenges

Video thumbnail

What is the Bohr model of the atom?

This video looks at the pioneering work of Niels Bohr who proposed a novel model of the atom in 1913 which would lay the foundations for a quantum mechanical treatment ten years later. After discussing the limitations of Thomson's Plum Pudding model and Rutherford's Nuclear model, Bohr's q

From playlist Quantum Physics

Video thumbnail

Chem 125. Advanced Organic Chemistry. 7. Organic Reaction Mechanisms.

UCI Chem 125 Advanced Organic Chemistry (Spring 2016) Lec 7. Organic Reaction Mechanisms View the complete course: http://ocw.uci.edu/courses/chem_125_advanced_organic_chemistry.html Instructor: James S. Nowick, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/inf

From playlist Chem125: Advanced Organic Chemistry

Video thumbnail

Radical Reactions & Hammond's Postulate: Crash Course Organic Chemistry #19

Throughout this series we’ve mostly talked about pairs of electrons, but electrons don’t always have a buddy. An atom or group of atoms with a single unpaired electron is called a radical. In this episode of Crash Course Organic Chemistry, we’ll learn all about radicals including the three

From playlist Organic Chemistry

Video thumbnail

Random walk across the epigenetic landscape - Lecture 2 by Andràs Paldi

ORGANIZERS : Vidyanand Nanjundiah and Olivier Rivoire DATE & TIME : 16 April 2018 to 26 April 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This program is aimed at Master's- and PhD-level students who wish to be exposed to interesting problems in biology that lie at the biology-

From playlist Living Matter 2018

Video thumbnail

2. Peculiar Rate Laws, Bond Dissociation Energies, and Relative Reactivities

Freshman Organic Chemistry II (CHEM 125B) Curious kinetic orders can be mechanistically informative. Fractional kinetic orders suggest dissociation of a dominant aggregate to give a smaller reactive species. An apparent negative kinetic order, due to competition with a second-order pro

From playlist Freshman Organic Chemistry II with Michael McBride

Video thumbnail

Mod-01 Lec-21 Equilibrium of the market: from Say to Walras

History of Economic Theory by Dr. Shivakumar, Department of Humanities and Social Sciences IIT Madras, For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Madras: History of Economic Theory | CosmoLearning.org Economics

Video thumbnail

Geometry - Ch. 2: Reasoning and Proofs (34 of 46) Evaluating 3 Postulates

Visit http://ilectureonline.com for more math and science lectures! In this video I will evaluate 3 postulates: Postulate 6: At Least 2 Points Postulate, Postulate 7: Line Intersection Postulate, Postulate 8: The Plane Postulate; given 2 intersecting lines and point F on plane Q. Next vi

From playlist GEOMETRY CH 2 PROOFS & REASONING

Related pages

Gumbel distribution | Fréchet distribution | Independence (probability theory) | Random variable | Functional equation | Probability theory | Cumulative distribution function