Theory of probability distributions | Errors and residuals | Statistical deviation and dispersion

Probable error

In statistics, probable error defines the half-range of an interval about a central point for the distribution, such that half of the values from the distribution will lie within the interval and half outside. Thus for a symmetric distribution it is equivalent to half the interquartile range, or the median absolute deviation. One such use of the term probable error in this sense is as the name for the scale parameter of the Cauchy distribution, which does not have a standard deviation. The probable error can also be expressed as a multiple of the standard deviation σ, which requires that at least the second statistical moment of the distribution should exist, whereas the other definition does not. For a normal distribution this is (see details) (Wikipedia).

Video thumbnail

Overfitting 3: confidence interval for error

[http://bit.ly/overfit] The error on the test set is an approximation of the true future error. How close is it? We show how to compute a confidence interval [a,b] such that the error of our classifier in the future is between a and b (with high probability, and under the assumption that f

From playlist Overfitting

Video thumbnail

Teach Astronomy - Random and Systematic Errors

http://www.teachastronomy.com/ In science we deal with two fundamentally different types of errors. Random errors are usually associated with limitations in the measuring apparatus. A random error can displace a measurement either to the high or low side of the true value. Random errors

From playlist 01. Fundamentals of Science and Astronomy

Video thumbnail

What Are Error Intervals? GCSE Maths Revision

What are error Intervals and how do we find them - that's the mission in this episode of GCSE Maths minis! Error Intervals appear on both foundation and higher tier GCSE maths and IGCSE maths exam papers, so this is excellent revision for everyone! DOWNLOAD THE QUESTIONS HERE: https://d

From playlist Error Intervals & Bounds GCSE Maths Revision

Video thumbnail

GCSE Science Revision "Systematic Errors"

In this video, we look at systematic errors. First we explore what is meant by a systematic error. We then look at what can cause a systematic error, including a zero error. Image Credits Thermometer https://commons.wikimedia.org/wiki/File:Laboratory_thermometer-03.jpg Lilly_M, CC BY-SA

From playlist GCSE Working Scientifically

Video thumbnail

Systematic and Random Error

Comparison of systematic and random error. Types of systematic error, including offset error and scale factor error/

From playlist Experimental Design

Video thumbnail

Outtakes

Yes. I make mistakes ... rarely. http://www.flippingphysics.com

From playlist Miscellaneous

Video thumbnail

Uncertainty and Propagation of Errors

A discussion of how to report experimental uncertainty, and how to calculate propagation of errors. Based on the nice video by paulcolor: https://youtu.be/V0ZRvvHfF0E, with some personal edits.

From playlist Experimental Physics

Video thumbnail

Lecture 9 | Machine Learning (Stanford)

Lecture by Professor Andrew Ng for Machine Learning (CS 229) in the Stanford Computer Science department. Professor Ng delves into learning theory, covering bias, variance, empirical risk minimization, union bound and Hoeffding's inequalities. This course provides a broad introduction

From playlist Lecture Collection | Machine Learning

Video thumbnail

DRAM Errors in the Wild: A Large-Scale Field Study

(October 21, 2009) Bianca Schroeder of the University of Toronto Computer Science Department gives an in depth discussion on how common dynamic random access memory errors are, their statistical properties, and how they are affected by external and chip-specific factors. Stanford Univer

From playlist Engineering

Video thumbnail

Lec 3 | MIT 6.451 Principles of Digital Communication II

Hard-decision and Soft-decision Decoding View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.451 Principles of Digital Communication II

Video thumbnail

Lecture 04 - Error and Noise

Error and Noise - The principled choice of error measures. What happens when the target we want to learn is noisy. Lecture 4 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://itunes.apple.com/us/course

From playlist Machine Learning Course - CS 156

Video thumbnail

Statistical Rethinking 2022 Lecture 17 - Measurement Error

Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Intro: Music: https://www.youtube.com/watch?v=xXHH6bBAjDQ Palms: https://www.youtube.com/watch?v=We2KHqtqDos Pancake: https://www.youtube.com/watch?v=44ORuxym4fo Pause: https://www.youtube.com/watch?v=p

From playlist Statistical Rethinking 2022

Video thumbnail

Power and Type II Error

I recently uploaded 200 videos that are much more concise with excellent graphics. Click the link in the upper right-hand corner of this video. It will take you to my youtube channel where videos are arranged in playlists. In this older video: understanding Power and Type II Error and be

From playlist Older Statistics Videos and Other Math Videos

Video thumbnail

Kaggle Reading Group: On NMT Search Errors and Model Errors: Cat Got Your Tongue? | Kaggle

This week we'll be starting a new paper: "On NMT Search Errors and Model Errors: Cat Got Your Tongue?" by Felix Stahlber and Bill Byrne, published at EMNLP 2019. You can follow along with the paper here: https://www.aclweb.org/anthology/D19-1331.pdf About Kaggle: Kaggle is the world's lar

From playlist Kaggle Reading Group | Kaggle

Video thumbnail

Introduction to Hypothesis Testing Outcomes: Type I and Type II Errors

This video introduces the 4 outcomes of a hypothesis test.

From playlist Hypothesis Testing with One Sample

Video thumbnail

MagLab Theory Winter School 2018: Steven Girvin - Entanglement Entropy

The National MagLab held it's sixth Theory Winter School in Tallahassee, FL from January 8th - 13th, 2018.

From playlist 2018 Theory Winter School

Video thumbnail

Error estimation via Partial Derivatives and Calculus

Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook How to estimate errors in calculations using calculus.

From playlist A second course in university calculus.

Related pages

Scale parameter | Median absolute deviation | Circular error probable | Standard error | Cauchy distribution | Confidence interval | Interquartile range | Central tendency | Average absolute deviation | Statistics | Normal distribution