Abstract
In the present paper as estimation of unknown pdf derivative of a spline function is suggested. It is studied its some statistical properties which are used to approximate maximal deviation of the spline estimation from pdf with maximum of nonstationary gaussian process.
Highlights
The construction of a confidence interval for unknown probability density function trough histogram for the first time has been suggested by Smirnov [1]
The problem of construction of a confidence interval for unknown pdf trough spline-function was studied by Muminov and Khashimov [4]
For unknown multidimensional distribution density function the kernel estimation is constructed and similar problem is studied by Muminov [5,6]
Summary
The construction of a confidence interval for unknown probability density function (pdf) trough histogram for the first time has been suggested by Smirnov [1]. The problem of construction of a confidence interval for unknown pdf trough spline-function was studied by Muminov and Khashimov [4]. For unknown multidimensional distribution density function the kernel estimation is constructed and similar problem is studied by Muminov [5,6]. The results obtained in this work help to approximate the deviation of spline estimation of unknown density by Gaussian process.
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