Steve Brunton

@UCm5mt-A4w61lknZ9lCsZtBw - 542K subscribers

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Applications of Optimization

Applications of Optimization Steve Brunton

12K views - 4 days ago

The Anatomy of an Optimization Problem

The Anatomy of an Optimization Problem Steve Brunton

20K views - 1 week ago

Optimization: A Bootcamp for Machine Learning, Inverse Problems, and Control

Optimization: A Bootcamp for Machine Learning, Inverse Problems, and Control Steve Brunton

59K views - 2 weeks ago

Bayesian Linear Regression [Python Example]

Bayesian Linear Regression [Python Example] Steve Brunton

11K views - 2 months ago

Bayesian Linear Regression and Maximum a Posteriori (MAP) Estimate

Bayesian Linear Regression and Maximum a Posteriori (MAP) Estimate Steve Brunton

7.4K views - 2 months ago

Bayesian Linear Regression and Maximum Likelihood Estimates

Bayesian Linear Regression and Maximum Likelihood Estimates Steve Brunton

12K views - 2 months ago

Monte Carlo Sampling and Bootstrapping in Bayesian Inference

Monte Carlo Sampling and Bootstrapping in Bayesian Inference Steve Brunton

11K views - 4 months ago

Density Estimation with Gaussian Mixture Models (GMM) and Empirical Priors

Density Estimation with Gaussian Mixture Models (GMM) and Empirical Priors Steve Brunton

9.4K views - 5 months ago

Conjugate Priors Example: Normal Distribution and the Exponential Family of Distributions

Conjugate Priors Example: Normal Distribution and the Exponential Family of Distributions Steve Brunton

6.8K views - 5 months ago

Bayesian Updates and Conjugate Priors

Bayesian Updates and Conjugate Priors Steve Brunton

11K views - 5 months ago

Bayesian Inference: Overview

Bayesian Inference: Overview Steve Brunton

47K views - 5 months ago

Properties of Chi-Squared and Student's t Distributions

Properties of Chi-Squared and Student's t Distributions Steve Brunton

5.9K views - 5 months ago

Hypothesis Testing Revisited: Normal, t, and Chi-Squared Distribution Tests

Hypothesis Testing Revisited: Normal, t, and Chi-Squared Distribution Tests Steve Brunton

6.3K views - 5 months ago

Student's t-distribution in Statistics

Student's t-distribution in Statistics Steve Brunton

10K views - 5 months ago

The Chi-Squared Test : Are Two Distributions the Same? (with Python Example)

The Chi-Squared Test : Are Two Distributions the Same? (with Python Example) Steve Brunton

9.3K views - 6 months ago

Consistency of Parameter Estimates in Statistics

Consistency of Parameter Estimates in Statistics Steve Brunton

5.9K views - 6 months ago

Properties of Maximum Likelihood Estimation

Properties of Maximum Likelihood Estimation Steve Brunton

10K views - 6 months ago

Bayesian Maximum Aposteriori Estimation (MAP): Extending Maximum Likelihood Estimation

Bayesian Maximum Aposteriori Estimation (MAP): Extending Maximum Likelihood Estimation Steve Brunton

13K views - 6 months ago

PyDMD: A Python Package for Dynamic Mode Decomposition (DMD)

PyDMD: A Python Package for Dynamic Mode Decomposition (DMD) Steve Brunton

39K views - 7 months ago

Maximum Likelihood Estimation Example: Fitting a Normal Distribution with Data

Maximum Likelihood Estimation Example: Fitting a Normal Distribution with Data Steve Brunton

14K views - 7 months ago

Maximum Likelihood Estimation (MLE) with Examples

Maximum Likelihood Estimation (MLE) with Examples Steve Brunton

47K views - 8 months ago

Bootstrapping and Monte Carlo Sampling in Statistics

Bootstrapping and Monte Carlo Sampling in Statistics Steve Brunton

13K views - 8 months ago

Error in the Method of Moments

Error in the Method of Moments Steve Brunton

8.3K views - 8 months ago

Method of Moments to Fit Distributions from Data

Method of Moments to Fit Distributions from Data Steve Brunton

14K views - 8 months ago

Parameter Estimation and Fitting Distributions

Parameter Estimation and Fitting Distributions Steve Brunton

17K views - 8 months ago

Could Tobacco be Good for you? Two Sided Rejection Regions in Hypothesis Testing

Could Tobacco be Good for you? Two Sided Rejection Regions in Hypothesis Testing Steve Brunton

7K views - 9 months ago

Hypothesis Testing: Type I and Type II Errors

Hypothesis Testing: Type I and Type II Errors Steve Brunton

14K views - 9 months ago

Hypothesis Testing Example: Salk Vaccine Trial

Hypothesis Testing Example: Salk Vaccine Trial Steve Brunton

8.2K views - 9 months ago

Lies, Damn Lies, and Statistics... P-Hacking

Lies, Damn Lies, and Statistics... P-Hacking Steve Brunton

11K views - 9 months ago

Hypothesis Testing Procedure

Hypothesis Testing Procedure Steve Brunton

16K views - 10 months ago

Hypothesis Testing in Statistics

Hypothesis Testing in Statistics Steve Brunton

31K views - 10 months ago

Central Limit Theorem Example & Hypothesis Testing

Central Limit Theorem Example & Hypothesis Testing Steve Brunton

12K views - 10 months ago

Confidence Intervals

Confidence Intervals Steve Brunton

33K views - 10 months ago

Normal Approximation to Sample Mean

Normal Approximation to Sample Mean Steve Brunton

13K views - 10 months ago

Sample Variance in Random Population Sampling

Sample Variance in Random Population Sampling Steve Brunton

13K views - 10 months ago

Random Sampling Without Replacement (Finite "n" Correction)

Random Sampling Without Replacement (Finite "n" Correction) Steve Brunton

13K views - 10 months ago

Random Sampling in Statistics: Expected Value and Variance of the Sample Mean

Random Sampling in Statistics: Expected Value and Variance of the Sample Mean Steve Brunton

22K views - 11 months ago

Population Statistics and Random Sampling

Population Statistics and Random Sampling Steve Brunton

32K views - 11 months ago

Introduction to Statistics and Data Analysis

Introduction to Statistics and Data Analysis Steve Brunton

145K views - 11 months ago

Proof of the Central Limit Theorem

Proof of the Central Limit Theorem Steve Brunton

22K views - 1 year ago

The Tail Sum Formula in Probability

The Tail Sum Formula in Probability Steve Brunton

9.9K views - 1 year ago

Covariance and Correlation: Example with Gaussian Distributions

Covariance and Correlation: Example with Gaussian Distributions Steve Brunton

11K views - 1 year ago

Covariance and Correlation in Probability

Covariance and Correlation in Probability Steve Brunton

34K views - 1 year ago

The Lebesque Measure in Probability

The Lebesque Measure in Probability Steve Brunton

11K views - 1 year ago

Additive Property of the Moment Generating Function

Additive Property of the Moment Generating Function Steve Brunton

8.3K views - 1 year ago

Example of The Moment Generating Function

Example of The Moment Generating Function Steve Brunton

14K views - 1 year ago

The Moment Generating Function

The Moment Generating Function Steve Brunton

50K views - 1 year ago

The Central Limit Theorem

The Central Limit Theorem Steve Brunton

28K views - 1 year ago

The Law of Large Numbers

The Law of Large Numbers Steve Brunton

25K views - 1 year ago

Chebyshev's Inequality in Probability: Second Order Estimates

Chebyshev's Inequality in Probability: Second Order Estimates Steve Brunton

19K views - 1 year ago

Markov's Inequality in Probability: First Order Estimates

Markov's Inequality in Probability: First Order Estimates Steve Brunton

19K views - 1 year ago

Two Examples of Expected Values & Functions: Temperature in C vs F, and the Kinetic Theory of Gases

Two Examples of Expected Values & Functions: Temperature in C vs F, and the Kinetic Theory of Gases Steve Brunton

12K views - 1 year ago

Example of Computing the Expectation and Variance of an Exponential Distribution

Example of Computing the Expectation and Variance of an Exponential Distribution Steve Brunton

14K views - 1 year ago

Properties of the Expected Value

Properties of the Expected Value Steve Brunton

19K views - 1 year ago

Variance and Standard Deviation

Variance and Standard Deviation Steve Brunton

25K views - 1 year ago

The Expected Value (Mean) of a Probability Distribution

The Expected Value (Mean) of a Probability Distribution Steve Brunton

46K views - 1 year ago

Joint Probability Distributions: Marginal and Conditional Densities

Joint Probability Distributions: Marginal and Conditional Densities Steve Brunton

29K views - 1 year ago

Joint Probability Distributions

Joint Probability Distributions Steve Brunton

63K views - 1 year ago

The Chi Squared Distribution: The Square of the Normal Distribution

The Chi Squared Distribution: The Square of the Normal Distribution Steve Brunton

24K views - 1 year ago

Rescaling the Normal Distribution to Mean Zero and Variance One

Rescaling the Normal Distribution to Mean Zero and Variance One Steve Brunton

16K views - 1 year ago