Asymptotic theory (statistics) | Estimation theory | Nonparametric statistics | U-statistics

U-statistic

In statistical theory, a U-statistic is a class of statistics that is especially important in estimation theory; the letter "U" stands for unbiased. In elementary statistics, U-statistics arise naturally in producing minimum-variance unbiased estimators. The theory of U-statistics allows a minimum-variance unbiased estimator to be derived from each unbiased estimator of an estimable parameter (alternatively, statistical functional) for large classes of probability distributions. An estimable parameter is a measurable function of the population's cumulative probability distribution: For example, for every probability distribution, the population median is an estimable parameter. The theory of U-statistics applies to general classes of probability distributions. (Wikipedia).

Video thumbnail

Mean, Median, and Mode

This video explains how to determine mean, median and mode. It also provided examples. http://mathispower4u.yolasite.com/

From playlist Statistics: Describing Data

Video thumbnail

Inverse normal with Z Table

Determining values of a variable at a particular percentile in a normal distribution

From playlist Unit 2: Normal Distributions

Video thumbnail

Find x given the z-score, sample mean, and sample standard deviation

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Find x given the z-score, sample mean, and sample standard deviation

From playlist Statistics

Video thumbnail

Statistic vs Parameter & Population vs Sample

This stats video tutorial explains the difference between a statistic and a parameter. It also discusses the difference between the population and sample. It includes examples such as the sample mean, population mean, sample standard deviation, population standard deviation, sample propo

From playlist Statistics

Video thumbnail

Populations, Samples, Parameters, and Statistics

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Populations, Samples, Parameters, and Statistics

From playlist Statistics

Video thumbnail

Computing z-scores(standard scores) and comparing them

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Computing z-scores(standard scores) and comparing them

From playlist Statistics

Video thumbnail

More Standard Deviation and Variance

Further explanations and examples of standard deviation and variance

From playlist Unit 1: Descriptive Statistics

Video thumbnail

Percentiles, Deciles, Quartiles

Understanding percentiles, quartiles, and deciles through definitions and examples

From playlist Unit 1: Descriptive Statistics

Video thumbnail

Statistics v Parameters

sample statistics versus population parameters

From playlist Unit 1: Descriptive Statistics

Video thumbnail

Statistical Properties of the Navier-Stokes-Voigt Model by Edriss S. Titi

Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202

From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)

Video thumbnail

Statistical Rethinking 2022 Lecture 06 - Good & Bad Controls

Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Intro video: https://www.youtube.com/watch?v=6erBpdV-fi0 Intro music: https://www.youtube.com/watch?v=Pc0AhpjbV58 Chapters: 00:00 Introduction 01:23 Parent collider 08:13 DAG thinking 27:48 Backdoor cri

From playlist Statistical Rethinking 2022

Video thumbnail

Statistical Rethinking 2023 - 06 - Good & Bad Controls

Course details: https://github.com/rmcelreath/stat_rethinking_2023 Intro music: https://www.youtube.com/watch?v=PDohhCaNf98 Outline 00:00 Introduction 01:43 Causal implications 14:28 do-calculus 16:59 Backdoor criterion 40:48 Pause 41:22 Good and bad controls 1:09:34 Summary 1:26:27 Bonu

From playlist Statistical Rethinking 2023

Video thumbnail

How do I... DO A MANN-WHITNEY U TEST in Jamovi? (2022)

What if my independent-samples t-test variables violate normality assumptions or I have ordinal level variables to compare? What sort of analysis/statistic can I use? I have the answers and more in this next episode of learning stats with Jamovi! Jamovi stats: https://www.jamovi.org/ NO

From playlist Jamovi 2022 Tutorials

Video thumbnail

Mod-12 Lec-33 Regression Models with Autocorrelated Errors

Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

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

Video thumbnail

Professor Mark Girolami: "Probabilistic Numerical Computation: A New Concept?"

The Turing Lectures: The Intersection of Mathematics, Statistics and Computation - Professor Mark Girolami: "Probabilistic Numerical Computation: A New Concept?" Click the below timestamps to navigate the video. 00:00:09 Introduction by Professor Jared Tanner 00:01:38 Profess

From playlist Turing Lectures

Video thumbnail

Jean-Michel Zakoïan: Testing the existence of moments for GARCH-type processes

It is generally admitted that financial time series have heavy tailed marginal distributions. When time series models are fitted on such data, the non-existence of appropriate moments may invalidate standard statistical tools used for inference. Moreover, the existence of moments can be cr

From playlist Probability and Statistics

Video thumbnail

1. Collective Behavior, from Particles to Fields Part 1

MIT 8.334 Statistical Mechanics II: Statistical Physics of Fields, Spring 2014 View the complete course: http://ocw.mit.edu/8-334S14 Instructor: Mehran Kardar In this lecture, Prof. Kardar introduces the principles of collective behavior from particles to fields, including Phonons and Ela

From playlist MIT 8.334 Statistical Mechanics II, Spring 2014

Video thumbnail

Extremal Combinatorics with Po-Shen Loh 03/23 Mon

Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com

From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics

Video thumbnail

Stochastic Homogenization (Lecture 1) by Andrey Piatnitski

DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño

From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)

Video thumbnail

The Normal Distribution (1 of 3: Introductory definition)

More resources available at www.misterwootube.com

From playlist The Normal Distribution

Related pages

V-statistic | Estimation theory | Functional (mathematics) | Random graph | Stochastic process | Symmetric function | Annals of Mathematical Statistics | Median | Skewness | Sample variance | Statistical theory | Measurable function | Cumulative distribution function | Minimum-variance unbiased estimator | Homogeneous polynomial | Independent and identically distributed random variables | Polykay