The distribution of the area of a random parallelogram November 20, 2019 Joseph Leave a comment In this post I’m going to work out the distribution of the area of a random parallelogram formed… Continue Reading →
The lognormal distribution and linear regression October 21, 2019 Joseph Leave a comment Suppose I have collected data X∈Rn×p (n≥p and X is full column rank… Continue Reading →
Linear Regression with Functions October 9, 2019 Joseph Leave a comment I’m going to take a look at functional linear regression, where I’ll find the best linear… Continue Reading →
Correlated Discrete Random Variables October 3, 2019 Joseph Leave a comment In this post I’m going to explore correlations between finitely-supported discrete variables. Bernoulli case I’ll begin with… Continue Reading →
Ridge regression as a constrained optimization June 5, 2019 Joseph Leave a comment In this post I’m going to explore ridge regression as a constrained optimization, and I’ll do… Continue Reading →
Simple linear regression with linear algebra February 28, 2019 Joseph Leave a comment In this post I’m going to work with simple linear regression in matrix form. In most places… Continue Reading →
Interpolating Polynomials February 16, 2019 Joseph Leave a comment In this post I want to take a look at interpolation with a single polynomial. I’ll prove the existence and… Continue Reading →
Partitions of the unit interval February 7, 2019 Joseph Leave a comment In this post I’m going to explore partitioning the unit interval I:=[0,1] into uncountably… Continue Reading →
Uncountably additive measures January 29, 2019 Joseph 2 Comments In this post I’m going to explore uncountable additivity of σ-finite measures a bit. Let $\mathcal M… Continue Reading →
Comparing a mixed model with a ridge regression December 21, 2018 Joseph 1 Comment In this post I’m going to consider a linear model of the form $y = \mu\one + Z\a… Continue Reading →