A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY

GÖKPINAR E., POLAT E., GÖKPINAR F., Gunay S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.5, ss.581-590, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 5
  • Basım Tarihi: 2013
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.581-590
  • Anahtar Kelimeler: Computational approach test, Generalized test variables, Hypothesis testing, Inverse gaussian distribution, Maximum likelihood estimate, Parametric bootstrap
  • Gazi Üniversitesi Adresli: Evet

Özet

In this article, a testing procedure based on computational approach test is proposed for the equality of several inverse Gaussian means under heterogeneity. Not requiring the knowledge of any sampling distribution, depending heavily on numerical computations and Monte Carlo simulation, moreover, figuring out the critical region automatically are the advantages of the computational approach test. We compare it with some of the existing tests; the parametric bootstrap and the generalized test variables in terms of type I risks and powers by using Monte Carlo simulation.