Accession Number:

AD0770962

Title:

Interpolating Spline Methods for Density Estimation I. Equi-Spaced Knots.

Descriptive Note:

Technical rept.,

Corporate Author:

WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s):

• Wahba,Grace

Report Date:

1973-03-01

Pagination or Media Count:

42.0

Abstract:

Statistical properties of the histospline density estimate of Boneva-Kendall-Stefanov-Schoenberg are found. This density estimate is the derivative of a cubic spline of interpolation to the sample cumulative distribution at equally spaced points. The spacing of these points is chosen in an optimal manner. The boundary values of the spline are estimated from the data. It is shown that the mean square convergence rate of this density estimate at a point achieves the best obtainable rate. Author

Descriptors:

• *APPROXIMATION(MATHEMATICS)
• *SPLINES
• *INTERPOLATION
• *ESTIMATES
• STATISTICAL ANALYSIS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE