Besel Processes Series

A thorough exploration of Bessel and Squared Bessel processes with integer dimension, effectively combining theoretical concepts with Python visualization. The inclusion of captivating visual aids enhances the understanding of the topic.

Aleatory 0.1.3

I am pleased to announce that my latest project “aleatory 0.1.0”, a Python library to simulate and visualise stochastic processes, has been released and is now available in PyPi.

Aleatory 0.1.0

I am pleased to announce that my latest project “aleatory 0.1.0”, a Python library to simulate and visualise stochastic processes, has been released and is now available in PyPi.

Brief History of the Black-Scholes-Merton Model

A very brief recollection of the history of the Black-Scholes-Merton Model: 129 years from Charles Castelli to the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 1997.

Brownian Motion via Random Walks

The idea of this post is to show how Donsker’s Theorem (also known as Donsker’s Invariance Principle, or the Functional Central Limit Theorem) allows us to simulate paths of the one-dimensional standard Brownian motion using different kinds of random walks.

Brief History of the Central Limit Theorem

A very brief recollection of the history of the Central Limit Theorem: 162 years from Moivre to Feller in a page. If you are interested in reading more about the history […]

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