Statistics is Fun A.H Courses

The Student's t-Distribution

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

• YouTube
• 30 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video