A modified Mack-Wolfe test for the umbrella alternative problem

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Atıf İçin Kopyala

GÖKPINAR E., GÖKPINAR F.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.45, sa.24, ss.7226-7241, 2016 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 45 Sayı: 24
• Basım Tarihi: 2016
• Doi Numarası: 10.1080/03610926.2014.975821
• Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.7226-7241
• Gazi Üniversitesi Adresli: Evet

Özet

The Mack-Wolfe test is the most frequently used non parametric procedure for the umbrella alternative problem. In this paper, modifications of the Mack-Wolfe test are proposed for both known peak and unknown peak umbrellas. The exact mean and variance of the proposed tests in the null hypothesis are also derived. We compare these tests with some of the existing tests in terms of the type I error rate and power. In addition, a real data example is presented.