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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2015, Issue 3, Pages 96–104
(Mi vspui259)
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Computer science
Randomized algorithm for adjusting sample data
A. V. Orekhov St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation
Abstract:
One of the main problems of statistical analysis of experimental data is obtaining an unbiased (representative) sample. It is a natural desire to obtain a representative sample of computational methods. The procedure for adjusting the structure of the sample in accordance with the structure of the population is said to be “adjusted sample”. All known methods of adjusting the sample data have a significant drawback: these methods are “correct” empirical distribution functions, not the sample. In this paper we introduce the concepts of control spaces and studied traits, given the formal definition of a representative sample population; described randomized, algorithm, adjustment is sample data, not their empirical distributions. Iteration of algorithm of randomized sample corrections of data can be described as follows. Please select one spectral value of the control characteristics such that the absolute difference between the respective selective and general shares has a maximum value, then have all $k\mid 1\le k\le n$, sought $\max|w_k-p_k|$. If spectral values of a few, then randomly selects any of them. Let it be the $i$-th component of the vector $\mathbf {W}^{X}$ and $\mathbf {P}^{X}$. Then, if $w_i-p_i>0$, of the total sample randomly is to remove some vector $\mathbf{Z_t}$, in which the component $x_i=1$, if $w_i-p_i<0 $, the total sample randomly duplicated vector $\mathbf{Z_t}$, in which the component $x_i=1$. Refs 9.
Keywords:
randomized algorithm, sampling frame.
Received: April 30, 2015
Citation:
A. V. Orekhov, “Randomized algorithm for adjusting sample data”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2015, no. 3, 96–104
Linking options:
https://www.mathnet.ru/eng/vspui259 https://www.mathnet.ru/eng/vspui/y2015/i3/p96
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Abstract page: | 89 | Full-text PDF : | 39 | References: | 31 | First page: | 6 |
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