Lin, Chien-Tai Lee, Ying-Chen Balakrishnan, Narayanaswamy
Published in
Computational Statistics

We develop an user-interface package mTEXO in the Maplet application for testing exponential upper and/or lower outliers. The distributions of some well-known test statistics for exponential outliers in the literature can be easily evaluated using mTEXO, saving considerable computational time performing numerical integrations and combinatorial alge...

Nagaraja, H. N. Bharath, Karthik Zhang, Fangyuan
Published in
Annals of the Institute of Statistical Mathematics

We determine the joint limiting distribution of adjacent spacings around a central, intermediate, or an extreme order statistic Xk:n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin...

Lin, Chien-Tai Wang, Shih-Chun
Published in
Statistical Papers

The inside-out sequential procedures for testing up to k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document} upper outliers in a two-parameter exponential ...

Da, Gaofeng Xu, Maochao Balakrishnan, N.
Published in
Journal of Multivariate Analysis

In this paper, the variability of order statistics from heterogeneous random samples is studied. It is shown that, without any restriction on the parameters, the variability of order statistics from heterogeneous exponential samples is always larger than that from homogeneous exponential samples in the sense of Lorenz ordering. Finally, some applic...

Tung, DD Rao Jammalamadaka, S

We introduce a new test of isotropy or uniformity on the circle, based on the Gini mean difference of the sample arc-lengths and obtain both the exact and asymptotic distributions under the null hypothesis of circular uniformity. We also provide a table of upper percentile values of the exact distribution for small to moderate sample sizes. Illustr...

Tung, DD Rao Jammalamadaka, S

We introduce a new test of isotropy or uniformity on the circle, based on the Gini mean difference of the sample arc-lengths and obtain both the exact and asymptotic distributions under the null hypothesis of circular uniformity. We also provide a table of upper percentile values of the exact distribution for small to moderate sample sizes. Illustr...

Tung, David D Jammalamadaka, S Rao

We introduce a new test of isotropy or uniformity on the circle, based on the Gini mean difference of the sample arc-lengths and obtain both the exact and asymptotic distributions under the null hypothesis of circular uniformity. We also provide a table of upper percentile values of the exact distribution for small to moderate sample sizes. Illustr...

Tung, DD Rao Jammalamadaka, S

We introduce a new test of isotropy or uniformity on the circle, based on the Gini mean difference of the sample arc-lengths and obtain both the exact and asymptotic distributions under the null hypothesis of circular uniformity. We also provide a table of upper percentile values of the exact distribution for small to moderate sample sizes. Illustr...

Tung, DD Rao Jammalamadaka, S

We introduce a new test of isotropy or uniformity on the circle, based on the Gini mean difference of the sample arc-lengths and obtain both the exact and asymptotic distributions under the null hypothesis of circular uniformity. We also provide a table of upper percentile values of the exact distribution for small to moderate sample sizes. Illustr...

Tung, DD Rao Jammalamadaka, S

We introduce a new test of isotropy or uniformity on the circle, based on the Gini mean difference of the sample arc-lengths and obtain both the exact and asymptotic distributions under the null hypothesis of circular uniformity. We also provide a table of upper percentile values of the exact distribution for small to moderate sample sizes. Illustr...