TY - JOUR
N2 - From the theory of reliability it follows that the greater the observational redundancy in a network, the higher is its level of internal reliability. However, taking into account physical nature of the measurement process one may notice that the planned additional observations may increase the number of potential gross errors in a network, not raising the internal reliability to the theoretically expected degree. Hence, it is necessary to set realistic limits for a sufficient number of observations in a network. An attempt to provide principles for finding such limits is undertaken in the present paper. An empirically obtained formula (Adamczewski 2003) called there the law of gross errors, determining the chances that a certain number of gross errors may occur in a network, was taken as a starting point in the analysis. With the aid of an auxiliary formula derived on the basis of the Gaussian law, the Adamczewski formula was modified to become an explicit function of the number of observations in a network. This made it possible to construct tools necessary for the analysis and finally, to formulate the guidelines for determining the upper-bounds for internal reliability indices. Since the Adamczewski formula was obtained for classical networks, the guidelines should be considered as an introductory proposal requiring verification with reference to modern measuring techniques.
L1 - http://journals.pan.pl/Content/98354/PDF/art9_Proszynski.pdf
L2 - http://journals.pan.pl/Content/98354
PY - 2014
IS - No 1
DO - 10.2478/geocart-2014-0009
KW - internal reliability
KW - upper-bounds
KW - law of gross errors
KW - probability-derived formula
KW - binomial distribution
A1 - Prószyński, Witold
PB - Commitee on Geodesy PAS
VL - vol. 63
DA - 2014
T1 - Seeking realistic upper-bounds for internal reliability of systems with uncorrelated observations
UR - http://journals.pan.pl/dlibra/publication/edition/98354
T2 - Advances in Geodesy and Geoinformation
ER -