The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches. Within a given approach, statistical theory gives ways of comparing statistical procedures; it can find a best possible procedure within a given context for given statistical problems, or can provide guidance on the choice between alternative procedures. Apart from philosophical considerations about how to make statistical inferences and decisions, much of statistical theory consists of mathematical statistics, and is closely linked to probability theory, to utility theory, and to optimization. (Wikipedia).
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
This lecturelet will introduce you to the series on statistical analyses of time-frequency data. For more online courses about programming, data analysis, linear algebra, and statistics, see http://sincxpress.com/
From playlist OLD ANTS #8) Statistics
Statistics Lecture 5.2: A Study of Probability Distributions, Mean, and Standard Deviation
https://www.patreon.com/ProfessorLeonard Statistics Lecture 5.2: A Study of Probability Distributions, Mean, and Standard Deviation
From playlist Statistics (Full Length Videos)
(PP 6.2) Multivariate Gaussian - examples and independence
Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.
From playlist Probability Theory
Linear regression is used to compare sets or pairs of numerical data points. We use it to find a correlation between variables.
From playlist Learning medical statistics with python and Jupyter notebooks
(PP 6.6) Geometric intuition for the multivariate Gaussian (part 1)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
The Scientific Method and the question of "Infinite Sets" | Sociology and Pure Maths| N J Wildberger
Let's get some kind of serious discussion going about the differences in methodology and philosophy between the sciences and mathematics, and how these differences manifest themselves in the attitude towards the logical foundations of mathematics. In particular we look at a bulwark notio
From playlist Sociology and Pure Mathematics
(PP 6.7) Geometric intuition for the multivariate Gaussian (part 2)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
Sumit Das - Introduction to statistical field theory (1)
PROGRAM: BANGALORE SCHOOL ON STATISTICAL PHYSICS - V DATES: Monday 31 Mar, 2014 - Saturday 12 Apr, 2014 VENUE: Raman Research Institute, Bangalore PROGRAM LINK: http://www.icts.res.in/program/BSSP2014 This advanced level school was started in 2010 at the Raman Research Institute, Banga
From playlist Bangalore School on Statistical Physics - V
The measurement problem and some mild solutions by Dustin Lazarovici (Lecture - 03)
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
Nina Snaith - Combining random matrix theory and number theory [2015]
Name: Nina Snaith Event: Program: Foundations and Applications of Random Matrix Theory in Mathematics and Physics Event URL: view webpage Title: Combining random matrix theory and number theory Date: 2015-10-14 @11:00 AM Location: 313 Abstract: Many years have passed since the initial su
From playlist Number Theory
How To Tackle Our Inverse Problem by Wolfgang Waltenberger
Discussion Meeting : Hunting SUSY @ HL-LHC (ONLINE) ORGANIZERS : Satyaki Bhattacharya (SINP, India), Rohini Godbole (IISc, India), Kajari Majumdar (TIFR, India), Prolay Mal (NISER-Bhubaneswar, India), Seema Sharma (IISER-Pune, India), Ritesh K. Singh (IISER-Kolkata, India) and Sanjay Kuma
From playlist HUNTING SUSY @ HL-LHC (ONLINE) 2021
RMT statistics in number theory and in quantum chaos - Zeev Rudnick
50 Years of Number Theory and Random Matrix Theory Conference Topic: RMT statistics in number theory and in quantum chaos Speaker: Zeev Rudnick Affiliation: Tel Aviv University Date: June 23, 2022 Montgomery's pair correlation conjecture ushered a new paradigm into the theory of the Riem
From playlist Mathematics
Random matrices and high-dimensional stats: Beyond covariance matrices – N. El Karoui – ICM2018
Probability and Statistics Invited Lecture 12.11 Random matrices and high-dimensional statistics: Beyond covariance matrices Noureddine El Karoui Abstract: The last twenty-or-so years have seen spectacular progress in our understanding of the fine spectral properties of large-dimensional
From playlist Probability and Statistics
Statistical Rethinking Fall 2017 - week01 lecture01
Week 01, lecture 01 for Statistical Rethinking: A Bayesian Course with Examples in R and Stan, taught at MPI-EVA in Fall 2017. This lecture covers Chapters 1 and 2. Slides are available here: https://speakerdeck.com/rmcelreath Additional information on textbook and R package here: http
From playlist Statistical Rethinking Fall 2017
Srinivasa Varadhan - The Abel Prize interview 2007
0:00 Abel Prize Ceremonies (Norwegian) 01:00 Interview with Skau and Raussen starts 02:30 Why so long for probability or statistics to be recognised? 04:35 Born and raised on Chennai, studied at Madras; mathematical influences 05:52 Excellent math. teacher, math. for enjoyment 07:30 Why gr
From playlist The Abel Prize Interviews
What is a Statistical Treatment?
What is a statistical treatment? How to choose a statistical test. 0:00 Intro 00:19 Data Analysis 00:55 Choosing hypothesis tests 2:58 Factor Analysis 3:23 Thesis / Experimental View the flowchart here: https://www.datasciencecentral.com/profiles/blogs/hypothesis-tests-in-one-picture
From playlist Hypothesis Tests and Critical Values
What Probability Theory Is — Topic 94 of Machine Learning Foundations
#MLFoundations #Probability #MachineLearning This video is a quick introduction to what Probability Theory is! There are eight subjects covered comprehensively in the ML Foundations series and this video is from the fifth subject, "Probability & Information Theory". More detail about th
From playlist Probability for Machine Learning