Skip to main content
SpringerLink
Log in

Statistical estimation of measured quantities from strongly discretized observations with unknown scale parameter of the random component

  • Published:
Measurement Techniques Aims and scope

The problem of selecting the best statistical estimate of strongly discretized observations is considered for the practical case of an unknown scale parameter of the random component. A method of estimation of measured quantities in conjunction with an unknown scale parameter of the random component that makes it possible to decrease the estimation error by comparison with traditional estimates is proposed.

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.

Fig. 1

Similar content being viewed by others

References

  1. D. A. Masterenko, “Statistical evaluation of observations with level quantization,” Izmer. Tekhn. No. 7, 11–15 (2008); Measur. Techn., 51, No. 7, 711–717 (2008).

  2. D. A. Masterenko, “On approaches to estimation of parameters from strongly discretized observations,” Vestn. MGTU Stankin, No. 3, 88–94 (2010).

  3. D. A. Masterenko, “Informational aspect of statistical processing of strongly discretized observations (Bayesian approach),” Vestn. MGTU Stankin, No. 3, 150–155 (2011).

  4. D. A. Masterenko, “Choice of best estimate for the measured value from strongly discretized observations,” Izmer. Tekhn., No. 7, 17–20 (2011); Measur. Techn., 54, No. 7, 764–768 (2011).

  5. D. A. Masterenko, “Estimating a measured quantity from strongly discretized observations,” Izmer. Tekhn., No. 8, 22–24 (2011); Measur. Techn., 54, No. 8, 883–886 (2011).

  6. S. N. Grigoriev and V. I. Teleshevsky, “Measurement problems in technological shaping processing,” Izmer. Tekhn., No. 7, 3–7 (2011); Measur. Techn., 54, No. 7, 744–749 (2011).

  7. V. I. Teleshevsky and S. G. Grishin, “Heterodyne laser interferometry with digital phase conversion,” Izmer. Tekhn., No. 6, 13–18 (2006); Measur. Techn., 49, No. 6, 545–551 (2006).

  8. A. A. Borovkov, Mathematical Statistics [in Russian], Lan, Moscow (2010).

    Google Scholar 

  9. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], Fizmatgiz, Moscow (2006).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Engineering Center, Stankin Moscow State Technological University, Moscow, Russia

    D. A. Masterenko

Authors
  1. D. A. Masterenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. A. Masterenko.

Additional information

Translated from Izmeritel’naya Tekhnika, No. 6, pp. 40–42, June, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Masterenko, D.A. Statistical estimation of measured quantities from strongly discretized observations with unknown scale parameter of the random component. Meas Tech 55, 654–658 (2012). https://doi.org/10.1007/s11018-012-0016-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-012-0016-x

Keywords

Search

Navigation