Measuring bivariate asymmetry and testing bivariate symmetry

Author

Sheida Riahi

Issuing Body

Mississippi State University

Advisor

Patil, Prakash N.

Committee Member

DuBien, Janice

Committee Member

Woody, Jonathan R.

Committee Member

Wu, Tung-Lung

Committee Member

Zhou, Qian

Date of Degree

8-7-2020

Original embargo terms

Complete embargo for 2 years

Document Type

Dissertation - Open Access

Major

Mathematical Sciences

Degree Name

Doctor of Philosophy

Degree Name

Doctor of Philosophy (Ph.D)

College

College of Arts and Sciences

College

College of Arts and Sciences

Department

Department of Mathematics and Statistics

Department

Department of Mathematics and Statistics

Abstract

The present work generalizes the necessary condition of univariate symmetry of Patil et al. (2012) to the bivariate setting, develops a test of bivariate symmetry based on it, and generalizes the measure of asymmetry in Patil et al. (2014) to the bivariate setting. In doing so, as a byproduct, it pays attention to the interrelation between central symmetry and symmetry about an axis of a continuous bivariate density function.

URI

https://hdl.handle.net/11668/18458

Comments

Bivariate symmetry||Central symmetry||Nonparametric test||Power||Symmetry about X-axis||Test

Recommended Citation

Riahi, Sheida, "Measuring bivariate asymmetry and testing bivariate symmetry" (2020). Theses and Dissertations. 3031.
https://scholarsjunction.msstate.edu/td/3031