A non-asymptotic version of Cressie's refined continuity correction for the binomial distribution

10/29/2020
by   Frédéric Ouimet, et al.
0

In this paper, we prove a non-asymptotic version of the refined continuity correction for the binomial distribution found in Cressie (1978). We believe that this result could be used to improve the version of Tusnády's inequality from Massart (2002) in the bulk.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
03/16/2021

A refined continuity correction for the negative binomial distribution and asymptotics of the median

In this paper, we prove a local limit theorem and a refined continuity c...
research
01/03/2023

An asymptotic formula for Aldaz-Kounchev-Render operators on the hypercube

We prove a version of a conjecture concerning the asymptotic behavior of...
research
04/09/2020

On Linear Stochastic Approximation: Fine-grained Polyak-Ruppert and Non-Asymptotic Concentration

We undertake a precise study of the asymptotic and non-asymptotic proper...
research
09/17/2020

Refined isogeometric analysis for generalized Hermitian eigenproblems

We use the refined isogeometric analysis (rIGA) to solve generalized Her...
research
05/13/2018

On the Continuity of Center-Outward Distribution and Quantile Functions

To generalize the notion of distribution function to dimension d≥ 2, in ...
research
07/06/2020

Refined Analysis of the Asymptotic Complexity of the Number Field Sieve

The classical heuristic complexity of the Number Field Sieve (NFS) is th...
research
09/18/2020

Correction to: A dual iterative substructuring method with a small penalty parameter

In this corrigendum, we offer a correction to [J. Korean. Math. Soc., 54...

Please sign up or login with your details

Forgot password? Click here to reset