Jñānābha‎, Vol. 48 (2) (2018), 19-31

ON A SYMMETRIC UNIMODAL DISTRIBUTION ON THE CIRCLE

M. Shakil1 and B.M. Golam Kibria2

1Miami Dade College, Hialeah, FL, USA

Email:mshakil@mdc.edu

2Florida International University, Miami, FL, USA

Email:kibriag@fiu.edu

(Received : October 07, 2018 ; Revised: October 15, 2018)

Abstract

For an absolutely continuous circular random variable, a probability distribution is called a circular distribution if its total probability is concentrated on the circumference of a unit circle. Several circular distributions have been introduced by various authors and researchers. In this paper, we consider a symmetric unimodal distribution on the circle used in the modelling of the circular data by discussing its several distributional properties and characterizations.

2010 Mathematics Subject Classifications: 60E05, 62E10, 62E15, 62G30.

Keywords and phrases: Circular Distribution; Characterizations; Entropy; Reliability; Truncated Moment.

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