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- Title
CONFIDENCE INTERVAL OF NONLINEAR REGRESSION OF TIME RESTORE FUNCTIONALITY OF NETWORK TERMINAL DEVICES.
- Authors
Prykhodko, Sergiy; Makarova, Lidiia
- Abstract
Building confidence interval of the nonlinear regression equation and estimating the restoration time of devices play an important role in the practical tasks of terminal network control. Restoration time is non-Gaussian random variable, which depends on the distance between the service center and the terminal network device. For more reliable estimation of restoration time, it is necessary to have the confidence interval of its non-linear regression. In the case of Gaussian random variable, it is possible to apply linear regression equation and build the confidence interval for it by traditional method using the Student's t-distribution. This method does not take into account many features of the empirical data distribution, for example, its asymmetry. In the case of non-Gaussian random variable, it is difficult to build the confidence interval of the nonlinear regression equation without the assumption of normality Applying linearizing transformations is reduced to obtaining a linear regression model from the original non-linear by replacing variables and coefficients. This substitution leads to the model simplification and data loss, associated with nonlinearity. Using the normalizing transformations allows to proceed to linear regression of the normalized data, build the confidence interval for it by the traditional method, and finally, by applying the relevant transformation, pass to non-linear regression and its confidence interval. Johnson transformation is used as normalizing transformation because it provides the best results as compared to other known transformations.
- Publication
Eastern-European Journal of Enterprise Technologies, 2014, Vol 3, Issue 4, p26
- ISSN
1729-3774
- Publication type
Article
- DOI
10.15587/1729-4061.2014.24663