Characterization of the geometric distribution using properties of order statistics |
| |
| Authors: | Z Govindarajulu |
| |
| Institution: | University of Kentucky, Lexington, KY 40506, USA |
| |
| Abstract: | Using certain properties of order statistics, the geometric distribution has been characterized when the components are independent and identically distributed. When the components are independent, the geometric distribution has been characterized in the class of either IFR or DFR discrete distributions. In particular, Ferguson's (1967) characterization theorem for independent components in a sample of size two has been extended in several directions. |
| |
| Keywords: | Primary 62E10 Secondary 62G30 Characterization Order Statistics Geometric Distribution IFR (DFR) Distribution |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
