Informatics and Applications
2016, Volume 10, Issue 4, pp 34-45
CALCULATION OF THE ASYMPTOTIC DEFICIENCY OF SOME STATISTICAL PROCEDURES BASED ON SAMPLES WITH RANDOM SIZES
Abstract
Statistical regularities ofinformation flows in contemporary communication, computational and other information systems are characterized by the presence of the so-called "heavy tails." The random character of the intensity of the flow of informative events results in that the available sample size (traditionally, this is the number of observations registered within a certain time interval) is random. The randomness of the sample size cruciall changes the asymptotic properties of the statistical procedures (e.g., estimators). The present paper consists of a number of applications of the deficiency concept, i. e., the number of additional observations required by the less effective procedure and, thereby, provides a basis for deciding whether or not the price is too high. The deficiency was introduced by Hodges and Lehmann in 1970. In the paper, asymptotic deficiencies of statistical procedures based on samples with random sizes are considered. Three examples concerning testing statistical hypotheses, point, and confidence estimation are presented.
[+] References (6)
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[+] About this article
Title
CALCULATION OF THE ASYMPTOTIC DEFICIENCY OF SOME STATISTICAL PROCEDURES BASED ON SAMPLES WITH RANDOM SIZES
Journal
Informatics and Applications
2016, Volume 10, Issue 4, pp 34-45
Cover Date
2016-12-30
DOI
10.14357/19922264160404
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
confidence set; statistical hypothesis; asymptotic deficiency; sample with random size; Poisson distribution; binomial distribution
Authors
V. E. Bening , ,
Author Affiliations
Faculty of Computational Mathematics and Cybernetics, M. V. Lomonosov Moscow State University, 1-52 Leninskiye Gory, GSP-1, Moscow 119991, Russian Federation
Institute of Informatics Problems, Federal Research Center “Computer Sciences and Control” of the Russian
Academy of Sciences, 44-2 Vavilov Str.,Moscow 119333, Russian Federation
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