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

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AYDIN C.

JOURNAL OF SURVEYING ENGINEERING, vol.137, no.2, pp.40-46, 2011 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 137 Issue: 2
• Publication Date: 2011
• Doi Number: 10.1061/(asce)su.1943-5428.0000043
• Journal Name: JOURNAL OF SURVEYING ENGINEERING
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.40-46
• Yıldız Technical University Affiliated: Yes

Abstract

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.