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MAXIMUM LIKELIHOOD DETERMINATION OF THE SCATTERING CONSTANT OF AN EMULSION TRACK IN THE PRESENCE OF NOISE

Journal Article · · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B
DOI:https://doi.org/10.1007/BF02733439· OSTI ID:4006144
;
Formulas are deduced for the determination of two parameters of an emulsion track by the maximum likelinood method. The parameters are the constant of the Coulomb scattering and the amplitude of background noise. Numerical expressions are obtained for the scatter of the measured values of these constants and it is shown, e.g., that in case of very fine subdivision of a track the statistical error of the constants thus obtained decreases proportionally to N/sup -1/>s, where N is the number of sections. Formulas are obtained which are useful for the practical determination of the parameters and which give accuracies only slightly smaller than that obtained by the optimal maximum likelihood method. Graphs are provided to facilitate numerical computations. (auth)
Research Organization:
Central Research Inst. of Physics, Hungarian Academy of Sciences, Budapest
Sponsoring Organization:
USDOE
NSA Number:
NSA-15-026258
OSTI ID:
4006144
Journal Information:
Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10), 20; ISSN NUCIA
Country of Publication:
Country unknown/Code not available
Language:
English

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Related Subjects

BACKGROUND
EMULSIONS
ENGINEERING AND EQUIPMENT
MATHEMATICS
NOISE
PARTICLE TRACKS
QUANTITATIVE ANALYSIS
SCATTERING
STATISTICS