Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996acasn..37..132w&link_type=abstract
Acta Astron. Sin., Vol. 37, No. 2, p. 132 - 139
Astronomy and Astrophysics
Astronomy
Photographic Astrometry: Methods Of Reduction
Scientific paper
The p-norm distribution is an extensive distribution family of measuring errors. The well-known normal distribution is only a special one in the family when p = 2. Therefore the p-norm distribution and the Lp estimation (least p-norm estimation) can describe and treat more extensive measuring errors. For each concrete measuring data set, first, detect the real distribution of the data by adaptive method, ascertain the value of p, and then carry on the Lp estimation. This process is called adaptive Lp estimation. In this paper, the properties of the Lp estimation are introduced. Also the efficiency of the Lp estimation and the solution of adaptive p are discussed in detail. At the end, a real example of Praesepe photographic astrometry is given. The result of the example indicates: the measuring errors treated do not obey normal distribution. In this case the adaptive Lp estimation will give better result than the LS estimation.
Li Zhengxin
Wang Jiaji
Wu Jie
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