Statistics is Fun A.H Courses

The Student's t-Distribution

1 review

Explore the Student's t-Distribution, its methods, and applications in statistical analysis for more accurate inferences from small sample sizes.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Class Mathematics

Explore advanced calculus concepts including derivatives of trigonometric, exponential, and logarithmic functions using power series and first principles methods.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Exponential Distribution

Learn about the exponential distribution, including its mean, variance, and median, with practical applications and problem-solving techniques.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Cramer-Rao Lower Bound and Efficiency

Explore the Cramer-Rao Lower bound and efficiency in statistics, including the relationship between estimator efficiency and the ratio of Rao-Cramer Lower bound to actual variance.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Binomial Distribution

Learn about binomial distribution's M.G.F, C.G.F, and its approximation to Poisson using various methods including Stirling's formula and characteristic functions.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Characteristics Function

Explore key probability distributions through characteristic functions, including Normal, Cauchy, Exponential, and Uniform, with proofs and examples.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Central Limit Theorem - By Different Methods

Explore the Central Limit Theorem through diverse approaches, enhancing statistical understanding and practical application skills.

• YouTube
• 30 minutes
• On-Demand
• Free Video

A.M Properties

Explore arithmetic mean properties, including proofs, simple and weighted A.M for natural numbers, and their applications in statistics.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Beta Distribution

Explore the Beta and Beta Prime distributions, focusing on their means and variances in this concise statistical overview.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Gamma Distribution

Learn about the Gamma distribution's properties, including its mean, variance, and moment generating function, as well as related gamma function properties and proofs.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Normal Distribution

Explore the normal distribution, including coin toss probabilities, moment generating functions, and calculating areas under the curve.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Maximum Likelihood Estimator Topics

Explore maximum likelihood estimation for various probability distributions, including gamma, Bernoulli, exponential, and geometric.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Method of Moments Topics

Explore estimation techniques for various probability distributions using the Method of Moments, including gamma, uniform, normal, binomial, and Pareto.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Linear Regression and Correlation

Comprehensive exploration of linear regression and correlation, covering theory, calculations, and practical applications with solved examples and derivations.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Multiple Regression and Correlation

Learn to prove partial correlation coefficient formulas, calculate variances, and derive multiple regression equations using standard deviations and correlation coefficients.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video