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Physical Sciences and Mathematics Commons

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Statistics and Probability

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National University of Uzbekistan

Journal

2018

Articles 1 - 1 of 1

Full-Text Articles in Physical Sciences and Mathematics

The Optimal Risk Of Estimator Of Conditional Distribution Function In A Model Of Heteroscedastic Regression With Weakly Dependent Observations, Farkhad Abdikalikov, Laura Reymova Sep 2018

The Optimal Risk Of Estimator Of Conditional Distribution Function In A Model Of Heteroscedastic Regression With Weakly Dependent Observations, Farkhad Abdikalikov, Laura Reymova

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

Paper is devoted to estimation of conditional distribution function in heteroscedastical regression model, in which responses are α-mixing random variables. It is found the expression for mean square deviation of estimator and optimal window width sequence.