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Statistics Homeworks
The following page contains all the JavaScript
homeworks
and all the
theses
done during my Statistics Cybersecurity course in the academic year 2023-24.
Homework list:
Draw Figures
2.1: Calculate Distribution
2.2: CheatSheet
2.3: Uniform random variates
Attack Simulation
Improved HW. 2.1
Poisson Distribution
Gambler's Ruin Problem
Stochastic Differential Equation (SDE)
Optional part
Theses list:
Th. 1: The LLN Meaning, Proof, Simulations
Th. 2: The CLT Meaning, Proof, Simulations
Th. 3: The Gaussian Distribution Meaning, Derivations, Simulations
Th. 4: The Glivenko–Cantelli theorem, Proof, Simulations
Th. 5: Statistical Distributions: Continuous, Discrete, Properties and simulations
Th. 6:
Algorithms for random variates generation
Main Thesis
Th. 7: "Online" Algorithms (Data Streams): Ideas and code
Th. 8: Stochastic processes and SDE's
Th. 9: The Poisson Process: Meaning, Properties, Simulations
Th. 10: The Wiener process and the GBM, Derivations and simulations
Th. 11: The functional CLT (Donsker's invariance principle): Proof, Simulations
Th. 12: Ito Integration ans Calculus, Concept and Didactical Simulations
Useful links:
GitHub
My Blog