Statistical inference of a stochastically restricted linear mixed model

Guler N., Eriş Büyükkaya M.

AIMS MATHEMATICS, cilt.8, sa.10, ss.24401-24417, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 10
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3934/math.20231244
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.24401-24417
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This article compares a predictor with the best linear unbiased predictor (BLUP) for a unified form of all unknown parameters under a stochastically restricted linear mixed model (SRLMM) in terms of the mean squared error matrix (MSEM) criterion. The methodology of block matrix inertias and ranks is employed to compare the MSEMs of these predictors. The comparison results are also demonstrated for a linear mixed model with and without an exact restriction, as well as special cases of the unified form of all unknown parameters in the SRLMM.