Strong Consistency of the Spline-Estimation of Probabilities Density in Uniform Metric - Open Journal of Statistics

OJS > Vol.6 No.2, April 2016

Strong Consistency of the Spline-Estimation of Probabilities Density in Uniform Metric ()

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DOI: 10.4236/ojs.2016.62032 2,918 Downloads 3,525 Views

Author(s)

Mukhammadjon S. Muminov¹, Khaliq S. Soatov²

Affiliation(s)

¹Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan.
²Tashkent University of Information Technologies, Tashkent, Uzbekistan.

ABSTRACT

In the present paper as estimation of an unknown probability density of the spline-estimation is constructed, necessity and sufficiency conditions of strong consistency of the spline-estimation are given.

KEYWORDS

Strong Consistency, Spline-Estimation, Probability Density in Uniform Metric, Uniform Metric, Soatov, Muminov, Tashkent University, Institute of Mathematics

Share and Cite:

Muminov, M. and Soatov, K. (2016) Strong Consistency of the Spline-Estimation of Probabilities Density in Uniform Metric. Open Journal of Statistics, 6, 373-379. doi: 10.4236/ojs.2016.62032.

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