UDC: 
DOI: 
10.22389/0016-7126-2017-928-10-58-63
1 Salnikov V.I.
Year: 
№: 
928
Pages: 
58-63

Moscow State University of Geodesy and Cartography (MIIGAiK)

1, 
Abstract:
The initial subject for study are consistent sums of the measurement errors. It is assumed that the latter are subject to the normal law, but with the limitation on the value of the marginal error Δpred = 2m. It is known that each amount ni corresponding to a confidence interval, which provides the value of the sum, is equal to zero. The paradox is that the probability of such an event is zero; therefore, it is impossible to determine the value ni of where the sum becomes zero. The article proposes to consider the event consisting in the fact that some amount of error will change value within 2m limits with a confidence level of 0,954. Within the group all the sums have a limit error. These tolerances are proposed to use for the discrepancies in geodesy instead of 2m*SQL(ni). The concept of “the law of the truncated normal distribution with Δpred = 2m” is suggested to be introduced.
References: 
1.   Haimov Z.S. Statisticheskoe issledovanie geodezicheskih statej. M.: Kartgeocentr Geodezizdat, 2002, 372 p.
2.   Skejvalas I.M. (1988) Determination of the kurtosis of a truncated normal distribution according to tolerances. Geodesy and cartography, 49(3), pp. 18-20.
Citation:
Salnikov V.I., 
(2017) Features of accumulation of amounts of measurement error. Geodesy and cartography = Geodezia i Kartografia, 78(10), pp. 58-63 . (In Russian). DOI: 10.22389/0016-7126-2017-928-10-58-63
Publication History
Received: 01.12.2016
Accepted: 15.03.2017
Published: 20.11.2017

Content

2017 October DOI:
10.22389/0016-7126-2017-928-10