Remez’s algorithm is one that converges to the minimax polynomial of a function. The author recommends using a polynomial approximation...
Chebyshev vs Minimax Note that the best minimax polynomial approximation need not be the Chebyshev polynomial. The latter is the best...
The supremum norm is given by \(||f-p||_{\infty}=\max_{a\le x\le b}|f(x)-p(x)|\). It is denoted by \(L^{\infty}\). Given a function...
First, just a definition: A monic polynomial is one whose leading coefficient is 1. We want to find a polynomial of degree \(n\) that...
\(\newcommand{\Cov}{\mathrm{Cov}}\) \(\newcommand{\Corr}{\mathrm{Corr}}\) \(\newcommand{\Sample}{X_{1},\dots,X_{n}}\) The Method...
Continuous distributions are given by a probability density function (pdf): \begin{equation*} P\left(a\le X\le...
Random Variables A discrete random variable is one whose set of possible values is countable. Probability Distributions for Discrete...