Другие журналы
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Timonin
The Method of Calculating the Exact Distributions of the Kolmogorov-Smirnov Statistics in Case of Violation of Homogeneity and Independence of the Analyzed Samples
Engineering Education # 11, November 2014 DOI: 10.7463/1114.0740251 pp. 227-237
Renyi Criterion Modification in Testing the Hypotheses About Acceleration Factor Meaning at Variable-Load Tests
Engineering Education # 08, August 2014 DOI: 10.7463/0814.0720923 pp.110-122
Monte Carlo Method to Study Properties of Acceleration Factor Estimation Based on the Test Results with Varying Load
Engineering Education # 07, July 2014 DOI: 10.7463/0714.0718295 pp. 94-104
Estimation of parameter in Lehmann-Cox power-law model by minimizing Kolmogorov-Smirnov and Savage functionals
Engineering Education # 07, July 2012 DOI: 10.7463/0712.0410885 In this paper we consider two etimations of the unknown parameter in the Lehmann-Cox power-law model. These estimates are obtained by minimization of two different functionals: Kolmogorov-Smirnov and Savage ones. The type of these functionals was obtained by using non-parametric statistics proposed by authors in their previous articles. We demonstrated the advantage of one statistics over the other by use of the methods of statistical modeling when the Lehmann-Cox power-law model is valid. It was proposed using a correction coefficient calculated with Monte Carlo method to eliminate bias of estimates for small sample sizes.
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