Regression with time series structure | Covariance and correlation

Galton's problem

Galton's problem, named after Sir Francis Galton, is the problem of drawing inferences from cross-cultural data, due to the statistical phenomenon now called autocorrelation. The problem is now recognized as a general one that applies to all nonexperimental studies and to experimental design as well. It is most simply described as the problem of external dependencies in making statistical estimates when the elements sampled are not statistically independent.Asking two people in the same household whether they watch TV, for example, does not give you statistically independent answers. The sample size, n, for independent observations in this case is one, not two. Once proper adjustments are made that deal with external dependencies, then the axioms of probability theory concerning statistical independence will apply. These axioms are important for deriving measures of variance, for example, or tests of statistical significance. (Wikipedia).

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Galois theory: Introduction

This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois theory. We discuss some historical examples of problems that it was used to solve, such as the Abel-Ruffini theorem that degree 5 polynomials cannot in genera

From playlist Galois theory

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Galois theory II | Math History | NJ Wildberger

We continue our historical introduction to the ideas of Galois and others on the fundamental problem of how to solve polynomial equations. In this video we focus on Galois' insights into how extending our field of coefficients, typically by introducing some radicals, the symmetries of the

From playlist MathHistory: A course in the History of Mathematics

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Practice Problem: Henderson-Hasselbalch Equation Calculations

David Hasslehoff did chemistry?! No wait, Hasselbalch. And Henderson. Anyway there's this equation, and it relates the pH of a buffer solution to the pKa of the acid and the ratio of the concentrations of the acid and conjugate base. It's easy to use, give it a try! Try all of the general

From playlist General Chemistry Practice Problems

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15 - Algorithmic aspects of the Galois theory in recent times

Orateur(s) : M. Singer Public : Tous Date : vendredi 28 octobre Lieu : Institut Henri Poincaré

From playlist Colloque Evariste Galois

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Practice Problem: Galvanic Cells and Reduction Potential

We've learned about electrochemistry and electrochemical cells, especially galvanic or voltaic cells. And we learned about standard reduction potentials associated with a variety of substances. Given some data, can you calculate the cell potential associated with two half-reactions? Try a

From playlist General Chemistry Practice Problems

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Galois theory I | Math History | NJ Wildberger

Galois theory gives a beautiful insight into the classical problem of when a given polynomial equation in one variable, such as x^5-3x^2+4=0 has solutions which can be expressed using radicals. Historically the problem of solving algebraic equations is one of the great drivers of algebra,

From playlist MathHistory: A course in the History of Mathematics

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C36 Example problem solving a Cauchy Euler equation

An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.

From playlist Differential Equations

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Limitations of mathematical models; historical context of BGW process [PART III]

Part 3 of a series on a stochastic process approach to model the spread of coronavirus (COVID-19) as opposed to the compartmental deterministic SIR model. This model is generally known as branching process, but this video only focuses on the simplest type, called Bienaymé-Galton-Watson (BG

From playlist Mathematics of coronavirus

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Alternative to SIR: Modelling coronavirus (COVID-19) with stochastic process [PART I]

A stochastic process approach to model the spread of coronavirus (COVID-19) as opposed to the compartmental deterministic SIR model. This model is generally known as branching process, but this video only focuses on the simplest type, called Bienaymé-Galton-Watson (BGW) process, because th

From playlist Mathematics of coronavirus

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How likely is coronavirus (COVID-19) eradicated? [PART II]

Part 2 of a series of videos on a stochastic process approach to model the spread of coronavirus (COVID-19) as opposed to the compartmental deterministic SIR model. This model is generally known as branching process, but this video only focuses on the simplest type, called Bienaymé-Galton-

From playlist Mathematics of coronavirus

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Rajat Subhra Hazra: Branching Random Walk with innite progeny mean

In this talk we discuss the extremes of branching random walks under the assumption that the underlying Galton-Watson tree has in nite progeny mean. It is assumed that the displacements are either regularly varying or they have lighter tails. In the regularly varying case, it is shown that

From playlist Probability and Statistics

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How to solve differentiable equations with logarithms

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Differential Equations

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Eugenics and Francis Galton: Crash Course History of Science #23

After Darwin blew the doors off the scientific community, a lot of people did some weird and unscientific stuff with his ideas. Francis Galton and a few others decided natural selection could be used to make the human race "better" and came up with Eugenics. *** Crash Course is on Patre

From playlist History of Science

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Solve a Bernoulli Differential Equation Initial Value Problem

This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com

From playlist Bernoulli Differential Equations

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Spatial Clustering for Long-Ranged Avalanches and Epidemics by Alberto Rosso

DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December

From playlist Statistical Physics of Complex Systems - 2022

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How quantitative genetics blackboxes the genotype-phenotype map by Amitabh Joshi

Winter School on Quantitative Systems Biology DATE: 04 December 2017 to 22 December 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Wint

From playlist Winter School on Quantitative Systems Biology

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Clément Arlotti - Comment interpréter les outils d'interprétabilité ?

---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHenriPoincare Instagram : https://www.instagram.com/instituthenripoincare/

From playlist Conférence IA / 16 et 17 novembre 2021 à l'IHP

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B25 Example problem solving for a Bernoulli equation

See how to solve a Bernoulli equation.

From playlist Differential Equations

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Variance | Statistical Methods for Research Workers | Spatial analysis | Sampling (statistics) | Correlation | Margin of error | Regression analysis | Autocorrelation | Mean | Moran's I | Opinion poll | Statistic | Reliability (statistics) | Statistical significance | Cluster sampling | Omitted-variable bias | Durbin–Watson statistic