Fhdkas·4d agoBehind 10,000 Likes: A Statistical Analysis of Interactions on One Viral Thread on ThreadsExploring descriptive statistics, probability distributions, and hypothesis testing on real social media data.
Saurav·5d agoEstimation Theory — The Stochastic Methods to Predict the FutureHow is the future really predicted? A question that has boggled the best minds for thousands of years. Turns out mathematics is the answer…
Aviator Calculator·6d agoMonte Carlo Simulations of 100,000 Aviator Rounds: Python Implementation & Empirical Distribution…In theoretical discussions about crash games like Aviator, players frequently debate whether streaks of low multipliers are “abnormal,” or…
Alexios Gouvielos·Nov 1*571* Redefining Markovian Boundaries: Scale Dependence, Memory Reduction, and Systemic Rigor — On…Markov chains are often presented as powerful tools for understanding the evolution of many systems, based on a simple idea: the future…
Alexios Gouvielos·Oct 30*564* π Does Not “Appear” — It Is Presupposed: What Buffon’s Needle Truly RevealsAt first glance, it seems to emerge naturally from the integral calculation used to determine the probability of a crossing.
Alexios Gouvielos·Oct 17*515*When a Solution Bends the Problem: Four Mathematical Illusions and a Hidden RuleIn mathematics, some arguments appear to solve a problem while in reality they subtly alter the framework in which the problem is posed…
Ottavio Calzone·Oct 2Chebyshev’s InequalityKnow only the expected value and the variance? You can still limit the probability of values at least k away from the expected value
Ottavio Calzone·Sep 29Markov’s InequalityKnow only the expected value? You can still limit the probability of large values of a random variable that is never negative
Arsène Ducrocq·Sep 2How to Think Like a Solver in PokerSince the beginning of game solvers based on algorithms such as minimax, games like chess and poker have increasingly been dominated by…
arash shabanpour·Aug 10The Thin Line Between Dry Formulas and the Messy Real WorldThe real world is chaotic, uncertain, and full of “maybes.” Yet our schools and intellectual systems have trained us to see everything in…
