Scopus
YÖKSİS Eşleşti
A class of nonparametric tests for the two-sample problem based on order statistics
Journal of Nonparametric Statistics · Ocak 2024
YÖKSİS Kayıtları
A class of nonparametric tests for the two-sample problem based on order statistics
Journal of Nonparametric Statistics · 2024 SCI-Expanded
DOÇENT KADİR KARAKAYA →
A class of nonparametric tests for the two-sample problem based on order statistics
Journal of Nonparametric Statistics · 2025 SCI-Expanded
PROFESÖR COŞKUN KUŞ →
A class of nonparametric tests for the two-sample problem based on order statistics
Journal of Nonparametric Statistics · 2024 SCI-Expanded
PROFESÖR COŞKUN KUŞ →
A class of nonparametric tests for the two-sample problem based on order statistics
Journal of Nonparametric Statistics · 2025 SCI-Expanded
ARAŞTIRMA GÖREVLİSİ SÜMEYRA SERT →
Makale Bilgileri
DergiJournal of Nonparametric Statistics
Yayın TarihiOcak 2024
Scopus ID2-s2.0-85199898157
Özet
In this paper, a new class of distribution-free statistics based on order statistics from two independent samples is introduced to test the equality of two continuous distributions. The null distributions are obtained, and the symmetry property of the proposed test statistics is studied. The exact power functions of the new class of tests under the Lehmann alternative family are derived. Extensions of the proposed class of test statistics to situations with unequal sample sizes are discussed. We also study the power performance of the proposed test under the location-shift and scale-shift alternatives using Monte Carlo simulations. We observe that the power performance of the new class of test procedures is comparable to some commonly used nonparametric tests under various scenarios, which indicates that the new class of test procedures can be a good alternative to those classic nonparametric tests for the two-sample problem.
Yazarlar (6)
1
Kadir Karakaya
2
Sümeyra Sert
ORCID: 0000-0002-4647-1583
3
İhab A.S. Abusaif
ORCID: 0000-0002-6255-1268
4
Coşkun Kuş
5
Hon Keung Tony Ng
6
Haikady N. Nagaraja
Anahtar Kelimeler
Kolmogorov-Smirnov test
nonparametric test
order statistics
symmetry property
two-sample problem
Wilcoxon rank-sum test
Kurumlar
Bentley University
Waltham United States
Selçuk Üniversitesi
Selçuklu Turkey
The Ohio State University
Columbus United States