On the Use of the Helmert Transformation, and its Applications in Panel Data Econometrics
AbstractWe revisit the Helmert transformation, and provide a useful and simple derivation of the joint distribution of the sample mean and the sample variance in samples from independently and identically distributed normal random variables. Our derivation is distinguished by concreteness, very little abstractness, and should be appealing to beginning ...
Gueorgui I. Kolev, Helmuts Āzacis
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COORDINATE TRANSFORMATION USING THE LEAST SQUARES METHOD: A CASE STUDY ON TRABZON, TURKEY [PDF]
The ED50 datum uses the Hayford ellipsoid and the Greenwich meridian as the prime meridian. In Turkey, the ED50 datum with the Hayford ellipsoid was used until 2001, after which the ITRF datum with the GRS80 ellipsoid became the standard.
Nazan Yilmaz
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Estimation of strain accumulation of densification network in Northern Marmara Region, Turkey [PDF]
Strain analysis is one of the methods for the kinematic analysis of the repeated geodetic measurements. In order to derive strain accumulation in Marmara Region, different institutions carried out several Global Positioning System (GPS) campaigns in 1999
I. Deniz, H. Ozener
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Weak Nonlinearity in a Model Which Arises from the Helmert Transformation [PDF]
Parameters of a linear conform transformation between two dimensional coordinate systems (Helmert transformation) are estimated from coordinates, so called ``identical points'', measured in both coordinate systems. The regression model characterizing this situation is nonlinear.
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Helmert transformation strategies in analysis of GPS position time-series
SUMMARY Global positioning system (GPS) position time-series generated using inconsistent satellite products should be aligned to a secular Terrestrial Reference Frame by Helmert transformation. However, unmodelled non-linear variations in station positions can alias into transformation parameters.
Shiwei Guo +6 more
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Photogrammetric determination of discrepancies between actual and planned position of dental implants [PDF]
The paper describes the design and testing of a photogrammetric measurement protocol set up to determine the discrepancies between the planned and actual position of computer-guided template-based dental implants.
G. Forlani, F. Rivara
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Analisis Perbandingan Parameter Transformasi Antar Itrf Hasil Hitungan Kuadrat Terkecil Model Helmert 14-parameter Dengan Parameter Standar Iers [PDF]
This research aims to compare the 14 transformation parameters between ITRF from computation result using the Helmert 14-parameter models with IERS standard parameters. The transforma- tion parameters are calculated from the coordinates and velocities of
Dewi, C. (Citra), Fadly, R. (Romi)
core
Reduced-Dynamic Precise Orbit Determination for Low Earth Orbiters Based on Helmert Transformation [PDF]
Reduced-Dynamic Precise Orbit Determination for Low Earth Orbiters Based on Helmert TransformationA model based on Helmert transformation is presented in reduced-dynamic Precise Orbit Determination(POD). As an implementation, a reduced-dynamic POD approach was developed.
Chen, J., Wang, J.
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ABSTRACT This study pursues a dual objective. First, it investigates the unconditional impact of anti‐globalization on structural transformation in Africa. Second, it explores how environmental degradation interacts with anti‐globalization to influence structural transformation. The analysis focuses on 52 African countries over the period 2005–2023. To
Simplice A. Asongu, Ekene ThankGod Emeka
wiley +1 more source
Helmert Transformation of Reference Coordinating Systems for Geodesic Purposes in Local Frames
The real-time frames may develop a need for data originating from the concrete reference system. Sometimes this can refer to the Gauss-Krüger coordinates and UTM projections with a specific date. This paper analyses the connection between UTM projection with date WGS-1984 and Gauss-Krüger coordinates for a wider area of the City of Rijeka, without a ...
Mataija, Mirta +2 more
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