Faculty of Physics
M.V. Lomonosov Moscow State University
Menu
Regular Article

On the estimation of the maximum possibility for the parameters of a measurement model

B. Yuan, A.I. Chulichkov

Moscow University Physics Bulletin 2015. 15. N 5. P. 353

  • Article
Annotation

The problem of estimating the parameters of the model of a measurement experiment using the results of measurements with an error is considered. The mathematical model of the measurement error is formulated in terms of the theory of possibilities; the distribution of the possibilities on the set of error values determines the order that indicates which error values are preferred (that more probably occur during measurement) and which are less preferred. It is assumed that small error values are preferable to large ones. The mathematical model of the experiment depends on unknown parameters. The problem is to specify the values of these parameters by choosing their estimate for which the difference between the results of experiment and the model prediction is the most possible; this estimate is called the estimate of maximum possibility. An example of estimating the parameters of a Mössbauer spectrometric experiment is given.

Received: 2015 April 6
Approved: 2015 November 13
PACS:
07.05.Kf Data analysis: algorithms and implementation; data management
07.05.Tp Computer modeling and simulation
02.70.-c Computational techniques; simulations
Rissian citation:
Б. Юань, А.И. Чуличков.
Об оценке максимальной возможности параметров модели измерений.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2015. № 5. С. 24.
Authors
B. Yuan, A.I. Chulichkov
Department of Physics, Moscow State University, Moscow, 119991 Russia
Issue 5, 2015

Moscow University Physics Bulletin

Science News of the Faculty of Physics, Lomonosov Moscow State University

This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.