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.