A half-circular distribution on a circle

Adzhar Rambli, and Ibrahim Mohamed, and Shimizu, Kunio and Norlina Mohd Ramli, (2019) A half-circular distribution on a circle. Sains Malaysiana, 48 (4). pp. 887-892. ISSN 0126-6039


Official URL: http://www.ukm.my/jsm/malay_journals/jilid48bil4_2...


Up to now, circular distributions are defined in [0,2 π), except for axial distributions on a semicircle. However, some circular data lie within just half of this range and thus may be better fitted by a half-circular distribution, which we propose and develop in this paper using the inverse stereographic projection technique on a gamma distributed variable. The basic properties of the distribution are derived while its parameters are estimated using the maximum likelihood estimation method. We show the practical value of the distribution by applying it to an eye data set obtained from a glaucoma clinic at the University of Malaya Medical Centre, Malaysia.

Item Type:Article
Keywords:Gamma distribution; Inverse stereographic projection; Maximum likelihood estimation; Trigonometric moments; Unimodality
Journal:Sains Malaysiana
ID Code:13392
Deposited By: ms aida -
Deposited On:18 Sep 2019 03:15
Last Modified:20 Sep 2019 23:06

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