$L_p$-norm uniform distribution

Nontraditional approaches to statistical classification: Some perspectives on L_p-norm methods

Record Range of Uniform Distribution

We consider a sequence of independent and identicaly distributed (iid) random variables with absolutely continuous distribution function F(x) and probability density function (pdf) f(x). Let Rnl be the largest observation after observing nth record and R(ns) be the smallest observation after observing the nth record. Then we say Wnr = Rnl− R(ns), n > 1, as the nth record range. We will c...

The Uniform-Pareto Distribution and Eeponentiated Uniform-Pareto Distribution and Their Application in Income Data

‎In this paper‎, ‎a new distribution is introduced‎, ‎which is a generalization of a well-known distribution‎. ‎This distribution is flexible and applies to income data modeling‎. ‎We first provide some of the mathematical and distributional properties of this new model and then‎, ‎to demonstrate the flexibility the new distribution‎, ‎we will present the applications of this distribution with ...

Extended Lagrange interpolation in weighted uniform norm

The author studies the uniform convergence of extended Lagrange interpolation processes based on the zeros of Generalized Laguerre polynomials. 2009 Elsevier Inc. All rights reserved.

Uniform Distribution

At primary school the first author was taught to estimate the area of a (convex) body by drawing it on a piece of graph paper, and then counting the number of (unit) squares inside. There is obviously a little ambiguity in deciding how to count the squares which straddle the boundary. Whatever the protocol, if the boundary is more-or-less smooth then the number of squares in question is proport...