Goodness of fit tests for Nakagami distribution based on smooth tests

ÖZONUR D., GÖKPINAR F., GÖKPINAR E., BAYRAK H.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.45, sa.7, ss.1876-1886, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 7
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/03610926.2013.867998
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1876-1886
  • Anahtar Kelimeler: Nakagami distribution, smooth tests, goodness of fit, Type-I error, power of test, 62G10, 62F40
  • Gazi Üniversitesi Adresli: Evet

Özet

Nakagami distribution is one of the most common distributions used to model positive valued and right skewed data. In this study, we interest goodness of fit problem for Nakagami distribution. Thus, we propose smooth tests for Nakagami distribution based on orthonormal functions. We also compare these tests with some classical goodness of fit tests such as Cramer-von Mises, Anderson-Darling, and Kolmogorov-Smirnov tests in respect to type-I error rates and powers of tests. Simulation study indicates that smooth tests give better results than these classical tests give in respect to almost all cases considered.