Estimation of Variance Components Using a Step-by-Step Approach

AYDIN C.

JOURNAL OF SURVEYING ENGINEERING, cilt.137, sa.2, ss.40-46, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 137 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1061/(asce)su.1943-5428.0000043
  • Dergi Adı: JOURNAL OF SURVEYING ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.40-46
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We may obtain a unique parameter vector solution from a combination of individually estimated parameter vectors by adjusting different observation groups. This kind of combination method, the so-called step-by-step procedure, is widely used in geodesy. We derive Helmert-type variance-component estimates for several observation groups via this step-by-step approach. In the estimation step, only individual results are used; hence, this procedure is called step-by-step estimation of variance components. The novel approach is applied to a horizontal control network and a leveling network. DOI: 10.1061/(ASCE)SU.1943-5428.0000043. (C) 2011 American Society of Civil Engineers.