Cauchy distribution

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Business Model Canvas: An example

Presents an example of a solid business model focusing on providing free clean drinking water.

Convergence of Random Variables

Explores the convergence of random variables, the law of large numbers, and the distribution of failure time.

Optimality and Asymptotics

Explores the optimality of the Least Squares Estimator and its large sample distribution.

Fluid Quantities and Two-Fluid Model

Covers fluid quantities, moments of kinetic equation, two-fluid model, and plasma turbulence simulation.

Sampling Distributions: Theory and Applications

Explores sampling distributions, estimators' properties, and statistical measures for data science applications.

Interval Estimation: Method of Moments

Covers the method of moments for estimating parameters and constructing confidence intervals based on empirical moments matching distribution moments.

Normal Distribution: Properties and Calculations

Covers properties and calculations related to the normal distribution, including probabilities and quantiles.

Stable Laws and Limit Theorems

Explores stable laws, limit theorems, and random variable properties.

Concentration Inequalities

Covers concentration inequalities and sampling methods for estimating unknown distributions, with a focus on population infection rates.

Random Walk: Hitting Probabilities

Explores random walks, hitting probabilities, recursive structures, and Gaussian processes.