Empirical power of two-sample distribution-free tests under mixture of distributions

Article type: Research Article

Authors: Bhat, Sharada V.^{; *} | Patil, Aparna B.

Affiliations: Department of Statistics, Karnatak University, Dharwad-580 003, India

Correspondence: [*] Corresponding author. E-mail: sh6931@rediffmail.com.

Abstract: We consider some two-sample distribution-free tests based on U-statistics whose kernels are the functions of sub-sample extremes and medians. We study their performance in terms of power by computing their empirical power under the situations when observations occur from various mixtures of two different distributions.

Keywords: Two-sample, distribution-free, U-statistics, kernel, mixture, empirical power

DOI: 10.3233/MAS-2010-0126

Journal: Model Assisted Statistics and Applications, vol. 5, no. 1, pp. 21-29, 2010