Sachin DateinTowards Data ScienceA Proof of the Central Limit TheoremIf you like chocolate, this proof will feel like the multi-layered magic of a Mars bar24 min read·Apr 2, 2024--7--7
Sachin DateinTowards Data SciencePierre-Simon Laplace, Inverse Probability, and the Central Limit TheoremOn Laplace’s brilliant solution to inverse probability and his discovery of the Central Limit Theorem27 min read·Mar 5, 2024----
Sachin DateinTowards Data ScienceAbraham De Moivre, His Famous Theorem, and the Birth of the Normal CurveThe life and times of Abraham De Moivre, his famous theorem, and how it set the stage for the discovery of the Central Limit Theorem16 min read·Feb 13, 2024--2--2
Sachin DateinTowards Data ScienceOn Jacob Bernoulli, the Law of Large Numbers, and the Origins of the Central Limit TheoremAn exploration of the Weak Law of Large Numbers and the Central Limit Theorem through the long lens of history16 min read·Jan 23, 2024--2--2
Sachin DateinTowards Data ScienceA New Look at the Central Limit TheoremIts definition, its many applications, its deep connection with inverse probability, and a glimpse at its history11 min read·Jan 8, 2024--2--2
Sachin DateinTowards Data ScienceThe Markov and the Bienaymé–Chebyshev InequalitiesA deep dive into the meaning of the two bounds and into the remarkable series of happenings that led to their discovery17 min read·Sep 12, 2023--3--3
Sachin DateinTowards Data ScienceUnraveling the Law of Large NumbersThe LLN is interesting as much for what it does not say as for what it does15 min read·Jul 12, 2023--4--4
Sachin DateinTowards Data ScienceA Deep Dive into the Science of Statistical ExpectationHow we come to expect something, what it means to expect anything, and the math that gives rise to the meaning.29 min read·Jun 17, 2023--3--3
Sachin DateinTowards Data ScienceThe Aspiring Statistican’s Introduction to Random VariablesWhen it comes to yelling “Surprise!”, the universe never gets tired.31 min read·May 12, 2023--3--3
Sachin DateA Tutorial On Solving a System of Linear Regression EquationsHow to fit a system of regression equations using Python and Statsmodels14 min read·Mar 13, 2023----