An asymptotic distribution theory for Eulerian recurrences with applications

Asymptotic Distribution of Divergence Measure with Applications

Asymptotic distribution theory for Hoare's selection algorithm

Recurrences for Eulerian Polynomials of Type B and Type D

We introduce new recurrences for the type B and type D Eulerian polynomials, and interpret them combinatorially. These recurrences are analogous to a well-known recurrence for the type A Eulerian polynomials. We also discuss their relationship to polynomials introduced by Savage and Visontai in connection to the real-rootedness of the corresponding Eulerian polynomials.

Asymptotic Distribution Free Interval Estimation for an Intraclass Correlation Coefficient with Applications to Longitudinal Data

Confidence intervals for the intraclass correlation coefficient (ICC) have been proposed under the assumption of multivariate normality. We propose confidence intervals which do not require distributional assumptions. We performed a simulation study to assess the coverage rates of normal theory (NT) and asymptotically distribution free (ADF) intervals. We found that the ADF intervals performed ...

An asymptotic theory for Cauchy-Euler differential equations with applications to the analysis of algorithms

Cauchy–Euler differential equations surfaced naturally in a number of sorting and searching problems, notably in quicksort and binary search trees and their variations. Asymptotics of coefficients of functions satisfying such equations has been studied for several special cases in the literature. We study in this paper a very general framework for Cauchy–Euler equations and propose an asymptoti...