Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Measurement Techniques
Erschienen in: Measurement Techniques 5/2018

20.09.2018 | GENERAL PROBLEMS OF METROLOGY AND MEASUREMENT TECHNIQUE

Estimation of Parameters of the Formula for Optimal Discretization of the Range of Values of a Two-Dimensional Random Variable

verfasst von: A. V. Lapko, V. A. Lapko

Erschienen in: Measurement Techniques | Ausgabe 5/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Methods for estimating the parameters of the formula for the optimal discretization of the domain of determining the probability density of a two-dimensional random variable are considered. The properties of the proposed methods are investigated and the conditions for their validity are determined.
Vorheriger Artikel Directions of Development of the Standards Base of Gravimetry
Nächster Artikel Estimate of Risk for the Manufacturer and the Customer When Monitoring the Errors of Measuring Devices at One or More Points

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
V. S. Pugachev, Theory of Probability and Mathematical Statistics: Textbook, FIZMATLIT, Moscow (2002).MATH
2.
A. V. Lapko and V. A. Lapko, “Construction of confidence bounds for the probability density on the basis of its regression estimation,” Metrologiya, No. 12, 3–9 (2013).
3.
A. V. Lapko and V. A. Lapko, “Comparison of empirical and theoretical distribution functions of a random variable on the basis of a nonparametric classifier,” Optoelectr., Instrum. Data Proc., 48, No. 1, 37–41 (2012).
4.
H. A. Sturges, “The choice of a class interval,” J. Am. Stat. Assoc., 21, 65–66 (1926).CrossRef
5.
M. P. Wand, “Data-based choice of histogram bin width,” Am. Statistician, 51, No. 1, 59–64 (1997).
6.
H. Shimazaki and S. A. Shinomoto, “A method for selecting the size of a time histogram,” Neural Comput., 19, No. 6, 1503–1527 (2007).MathSciNetCrossRef
7.
A. Hacine-Gharbi, P. Ravier, R. Harba, and T. Mohamadi, “Low bias histogram-based estimation of mutual information for feature selection,” Pattern Recogn. Lett., 33, No. 10, 1302–1308 (2012).CrossRef
8.
A. V. Lapko and V. A. Lapko, “Optimal choice of the number of intervals for the discretization of the domain of variation of a one-dimensional random variable in estimating the probability density,” Izmer. Tekhn., No. 7, 24–27 (2013).
9.
A. V. Lapko and V. A. Lapko, “Regression estimate of the multidimensional probability density and its properties,” Optoelectr., Instrum. Data Proc., 50, No. 2, 148–153 (2014).
10.
L. Heinhold and K. Gaede, Ingeniur Statistic, Springer-Verlag, München, Wien, (1964).
11.
M. C. Minnotte, S. R. Sain, and D. W. Scott, “Multivariate visualization by density estimation,” Handbook of Data Visualization. Part 3 (2008), pp. 389–413.
12.
P. A. Legg, P. L. Rosin, D. Marshall, and J. E. Morgan, “Improving accuracy and efficiency of registration by mutual information using Sturges’ histogram rule,” 11th Ann. Conf. in Medical Image Understanding and Analysis (2007), pp. 26–30.
13.
A. V. Lapko and V. A. Lapko, “Choice of the optimal number of discretization intervals for the range of values of a two-dimensional random variable,” Izmer. Tekhn., No. 2, 14–17 (2016).
14.
E. Parzen, “On Estimation of a probability density function and mode,” Annals Math. Stat., 33, No. 3, 1065–1076 (1962).MathSciNetCrossRef
15.
A. V. Lapko and V. A. Lapko, “Analysis of optimization methods in nonparametric estimation of the probability density using the kernel function smearing coefficient,” Izmer. Tekhn., No. 6, 3–8 (2017).
16.
V. A. Epanechnikov, “Nonparametric estimation of a multi-dimensional probability density,” Teor. Veroyatn. Primen., 14, No. 1, 156–161 (1969).MathSciNetMATH
17.
D. W. Scott, Multivariate Density Estimation: Theory, Practice, and Visualization, Wiley, N.Y. (1992).CrossRef
Metadaten
Titel
Estimation of Parameters of the Formula for Optimal Discretization of the Range of Values of a Two-Dimensional Random Variable
verfasst von
A. V. Lapko
V. A. Lapko
Publikationsdatum
20.09.2018
Verlag
Springer US
Erschienen in
Measurement Techniques / Ausgabe 5/2018
Print ISSN: 0543-1972
Elektronische ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-018-1447-9

Weitere Artikel der Ausgabe 5/2018

Measurement Techniques 5/2018 Zur Ausgabe

PHYSICOCHEMICAL MEASUREMENTS

Methods and Algorithms for Control of a Thermocatalytic Hydrogen Sensor

OriginalPaper

Algorithms for Determining Estimations of Spectral Characteristics of the Interference of Noisy Signals

MECHANICAL MEASUREMENTS

Measurements of the Compressibility of Working Liquid of a Laser Interferometric Oil Manometer with the Help of a Low-Pressure Interferometric Piezometer

RADIO MEASUREMENTS

A Hardware-Software Complex for Measuring the Electrical Resistance of Metals and Alloys at High Temperatures

THERMOPHYSICAL MEASUREMENTS

Investigation of the Reproducibility of Melting and Freezing Curves for Tin in a Miniature Cell

MEASUREMENTS IN INFORMATION TECHNOLOGIES

A Conceptual Model of an Information Measurement System Based on Distributed Networks of Smart Geosensors