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A note on finding peakedness in bivariate normal distribution using Mathematica


Article Information

Title: A note on finding peakedness in bivariate normal distribution using Mathematica

Authors: Anwer Khurshid, Ehtisham Hussain, Masood ul Haq

Journal: Pakistan Journal of Statistics and Operation Research

HEC Recognition History
Category From To
Y 2020-07-01 2021-06-30

Publisher: Asiatic Region

Country: Pakistan

Year: 2007

Volume: 3

Issue: 2

Language: English

DOI: 10.18187/pjsor.v3i2.61

Categories

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.


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