The Pleasure of Finding Things Out

Using the Freedman-Diaconis Rule to determine optimal histogram bin width

Assessing goodness of fit using scipy and matplotlib

Updating sample mean and variance to account for new observations without full recalculation

An Investigation of the Complete and Incomplete Beta Functions with use cases in Statistical Modeling

Examination of the LOESS method with implementation in Python

Computing non-parametric bootstrap confidence intervals with Python

A method for obtaining mixed exponential distirbution quantiles for statistical analysis

Derivation of the Poisson as a limiting case of the Binomial PDF

Exploring denisty estimation with various kernels in Python

Python implementation of Newton’s method of polynomial interpolation

A smoothed empirical percentile implementation in Python

Correcting the bias in estimators for the population variance.

A walk-thru and demonstration of the batch gradient descent algorithm in Python

Assessing the quality of fit of a Logistic Regression model

Estimating Logistic Regression coefficents in Python

Manual estimation of logistic regression coefficents in R

Derivation of the Normal Equations via Least Squares and Maximum Likelihood