A note on finding peakedness in bivariate normal distribution using mathematics.

Anwer Khurshid; Ehtisham Hussain; Masood-Ul-Haq

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A note on finding peakedness in bivariate normal distribution using mathematics.

Author(s)

Anwer Khurshid Department of Mathematical and Physical Sciences, College of Science and Arts, University of Nizwa, Birkat Al Mouz, Nizwa, Sultanate of Oman

Ehtisham Hussain Department of Statistics, University of Karachi, Karachi, Pakistan

Masood-Ul-Haq Department of Mathematical Sciences, Usman Institute of Technology, Karachi, Pakistan

Abstract

Peakedness measures the concentration around the central value. A classical standard measure of peakedness is kurtosis which is the degree of peakedness of a probability distribution. In view of inconsistency of kurtosis in measuring of the peakedness of a distribution, Horn (1983) proposed a measure of peakedness for symmetrically unimodal distributions. The objective of this paper is two-fold. First, Horn’s method has been extended for bivariate normal distribution. Secondly, to show that computer algebra system Mathematica can be extremely useful tool for all sorts of computation related to bivariate normal distribution. Mathematica programs are also provided.

Publication Details

Page(s) 75-86

DOI DOI not available

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 3, Issue: 2, Year: 2007

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