Skip to main content
SpringerLink
Log in

Processing the Results of Measurements by Approximating the Distribution Density with Smoothing Cubic B-Splines

  • Published:
Measurement Techniques Aims and scope

Abstract

A method is developed for processing the results of measurements from a small sample utilizing the apparatus of normalized smoothing cubic B-splines. The choice of the spline mesh spacing providing a solution of the smoothing problem with a specified accuracy is justified. Analytical expressions are obtained for the probability distribution density and the numerical characteristics of the measurement results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. D. A. Bezuglov and P. M. Pomortsev, Izmer. Tekh., No. 11, 3 (1998).

    Google Scholar 

  2. M. A. Aizerman, É. M. Braverman, and L. I. Rozonoer, Method of Potential Functions in the Theory of Teaching Machines [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. É. Ya. Nadaraya, Probability Theory and Its Applications, No. 3, 52 (1957).

    Google Scholar 

  4. Yu. S. Zav'ralov, B. I. Kvasov, and V. L. Miroshnichenko, Methods of Spline Functions [in Russian], Nauka, Moscow (1980).

    Google Scholar 

Download references

Authors
  1. D. A. Bezuglov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Sklyarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. M. Pomortsev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bezuglov, D.A., Sklyarov, A.V. & Pomortsev, P.M. Processing the Results of Measurements by Approximating the Distribution Density with Smoothing Cubic B-Splines. Measurement Techniques 43, 757–762 (2000). https://doi.org/10.1023/A:1026693605558

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026693605558

Keywords

Search

Navigation