English

Precise finite-sample quantiles of the Jarque-Bera adjusted Lagrange multiplier test

Statistics Theory 2007-06-13 v1 Probability Statistics Theory

Abstract

It is well known that the finite-sample null distribution of the Jarque-Bera Lagrange Multiplier (LM) test for normality and its adjusted version (ALM) introduced by Urzua differ considerably from their asymptotic chi^2(2) limit. Here, we present results from Monte Carlo simulations using 10^7 replications which yield very precise numbers for the LM and ALM statistic over a wide range of critical values and sample sizes. This enables a precise implementation of the Jarque-Bera LM and ALM test for finite samples.

Cite

@article{arxiv.math/0509423,
  title  = {Precise finite-sample quantiles of the Jarque-Bera adjusted Lagrange multiplier test},
  author = {Diethelm Wuertz and Helmut G. Katzgraber},
  journal= {arXiv preprint arXiv:math/0509423},
  year   = {2007}
}

Comments

7 pages, 3x2 figures, 1 table

R2 v1 2026-07-22T17:24:41.375Z