Far East Journal of Theoretical Statistics
Volume 51, Issue 3, Pages 119 - 128
(November 2015) http://dx.doi.org/10.17654/FJTSNov2015_119_128 |
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THE STEREOGRAPHIC SEMICIRCULAR CHI SQUARE MODELS
Getut Pramesti
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Abstract: The chi square distribution which is one particular form of the Gamma distribution can be applied in the actuarial field. In this paper, an inverse stereographic projection, from the real line to the semi-circle, is used as the background to construct stereographic semicircular chi square model theoretically. We proposed the trigonometric moments which is derived from the characteristic function. The characteristic function is used to evaluate the characteristics of population of the semicircular model such as the mean resultant length, mean direction, semicircular variance. |
Keywords and phrases: chi square, semicircular, inverse stereographic projection, characteristic function. |
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