On the Identifiability of Finite Mixtures Based on the Union of Logarithmic Series and Discrete Rectangular Families

Shamilov A., ASMA Ş.

NEURAL PROCESSING LETTERS, cilt.29, sa.1, ss.1-6, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s11063-008-9090-0
  • Dergi Adı: NEURAL PROCESSING LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-6
  • Anahtar Kelimeler: Identifiability, Finite mixture, Logarithmic series, Discrete rectangular families, Union of heterogeneous parametric distribution, DISTRIBUTIONS
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, finite mixtures of the union of Logarithmic Series and Discrete Rectangular families are proved to be identifiable. The sufficient condition for the identifiability of finite mixtures given by Atienza et al. (Metrika 63:215-221, 2006) is applied instead of mostly used Teicher's condition (Teicher, Ann Math Stat 34: 1265-1269, 1963). The choice of distribution is made in order to stress the fact that, contrarily to Teicher's approach, Atienza et al.'s theorem being used does apply to heterogeneous parametric families.