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Simulating and Analyzing Brownian Motion: The Continuous Evolution of Stochastic Processes
Brownian Motion: Simulating a Fully Continuous Stochastic Process In earlier posts, we looked at two important stochastic models: The next step is Brownian motion, a process that is continuous both in time and in the values it takes.You can think of…
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Simulating and Analyzing a Counting Process: The Poisson Approximation and the Meaning of λ
Counting processes describe systems in which discrete events occur randomly over time. Examples include customer…
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A Unified Introduction to Probability: Interpretations, Axioms, and Measure Theory
Probability theory aims to describe uncertainty in a rigorous way. Historically, several different interpretations of…
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Connections between Bernoulli processes and Random Walks
The security-update random walk model and the Bernoulli-process simulation from the previous homework are closely…
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Security Update Dynamics as a Random Walk: Simulation and Binomial Analysis
To model a server that receives weekly security updates over n weeks while m attackers…
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Recursive Mean and Variance
Incremental Computation of Mean and Variance In the previous article, we introduced different ways of computing the average (mean) of a dataset. However, the formula assumes that we already have all the data available at once. But what if new…
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Methods and Applications to Compute the Average
A single number can represent the “center” of a dataset, but this alone is not…
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homework_4_ratini
2276790 he objective of this assignment was to take a sentence, convert it into numbers,…
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Homework_3
Rebecca Ratini_ 2276790 In the first part, I import the libraries needed for the work.In…
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Blog di rebeccaratini
15/10/2025- homework 2 A dataset is a structured collection of data used for analysis and research.In tabular…