all articles
Freedom of Model Building
How do scientists decide which model to use when several can fit the same data? This post follows that question through the assumptions and creative choices behind scientific models, and looks at how physical reasoning and experiments help us decide which ones deserve our confidence.
Connecting Distributions
This short note builds intuition for how several core distributions—Poisson, Exponential, Gamma, Beta, Binomial, Chi Square, Dirichlet, Multinomial—are tightly connected. Rather than treating them as isolated formulas, we view them as different lenses on the same random process: events happening in time or within the same family.
Estimators and the Delta Method
A pedagogical introduction to estimators and the Delta Method, focusing on intuition, derivation via Taylor series, practical examples, and connections to test-set variance and modern statistical practice.
(Un)biased Point Estimation
This article explores how to estimate the maximum parameter $(\theta)$ of a uniform distribution from sample data, deriving the Maximum Likelihood Estimator (MLE), identifying its bias, and constructing an unbiased estimator by adjusting the MLE
Statistical Rethinking (Ch. 2)
This article provides solutions and explanations for the exercises in Chapter 2 of Statistical Rethinking, focusing on foundational concepts in Bayesian statistics and probabilistic reasoning
Statistical Rethinking (Ch. 3)
This article provides solutions and explanations for the exercises in Chapter 3 of Statistical Rethinking, focusing on foundational concepts in Bayesian statistics and probabilistic reasoning
P Value
This article explains the concept of p-values in statistics, using intuitive examples and calculations to illustrate their role in hypothesis testing and decision-making
Linear Regression
This article explains the mathematical foundations, practical implementation, and evaluation of linear regression, including confidence intervals for coefficients and a comparison between manual and Scikit-Learn implementations