ON THE FISHER DISTRIBUTION OF PALEOMAGNETIC DIRECTIONS ON A SPHERE M. Shakil1, M. Ahsanullah2 B.M. Golam Kibria3 and J.N. Singh4 1Miami Dade College, Hialeah, FL, USA Email:mshakil@mdc.edu 2Rider University, Lawrenceville, NJ, USA Email:ahsan@rider.edu 3Florida International University, Miami, FL, USA Email:kibriag@fiu.edu 4Barry University, Miami Shores, FL., USA Email:jsingh@barry.edu (Received : November 10, 2018) Abstract The Fisher distribution is one of the most important distributions in statistics to deal with the paleomagnetic data; (cf. Fisher, R. A. (1953). Dispersion on a sphere. Proc. R. Soc. Lond. A, 217 (1130), 295-305). In this paper, we have considered several distributional properties of the Fisher distribution. Based on these distributional properties, we have established some new characterizations of the Fisher distribution by truncated .first moment, order statistics and upper record values. 2010 Mathematics Subject Classifications: 60E05, 62E10, 62E15, 62G30 Keywords and phrases: Characterizations; Fisher distribution; Order statistics; Paleomagnetic; Truncated .first moment; Upper record values. |
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