An approximation of error concentration parameter for simultaneous circular functional relationship model

A. G. Hussin, S. F. Hassan, Y. Z. Zubairi, Azami Zaharim, Kamaruzzaman Sopian

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this study, we propose a simple procedure for obtaining estimate of the error concentration parameter of the von Mises distribution for the simultaneous circular functional relationship model. This procedure can be used to estimate the error concentration parameter for any value of ratio of error concentration parameter, λj Currently the error concentration parameter for this model can only be estimate by assuming the ratio of the error concentration parameter λj is equal to one. This new proposed procedure have been derived based on the expansion of the asymptotic power series of the modified Bessel function. Finally, the simulation study has been carried out to verify the accuracy of this new proposed procedure.

Original languageEnglish
Pages (from-to)258-263
Number of pages6
JournalEuropean Journal of Scientific Research
Volume27
Issue number2
Publication statusPublished - 2009

Fingerprint

Functional Relationship
Approximation
Von Mises Distribution
Estimate
Modified Bessel Functions
Asymptotic Power
Asymptotic series
Bessel functions
Model
Power series
parameter
Simulation Study
Verify
simulation

Keywords

  • Bessel function
  • Ratio of error concentration parameter
  • Simultaneous circular functional model
  • Von mises distribution

ASJC Scopus subject areas

  • General

Cite this

An approximation of error concentration parameter for simultaneous circular functional relationship model. / Hussin, A. G.; Hassan, S. F.; Zubairi, Y. Z.; Zaharim, Azami; Sopian, Kamaruzzaman.

In: European Journal of Scientific Research, Vol. 27, No. 2, 2009, p. 258-263.

Research output: Contribution to journalArticle

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