Volume 36 • Number 3 • 2013   • Characterizations of Rayleigh Distribution Based on Order Statistics and Record Values M. Ahsanullah and M. Shakil Abstract. In this paper, some new results on characterizations of Rayleigh distribution based on order statistics and record values have been established. The conditional expectation (also known as mean residual life) of a distribution plays important roles in modeling and analysis of life time data. Some results on characterizations based on mean residual life have also been established. 2010 Mathematics Subject Classification: 60E05, 62E10, 62E15,62G30 Full text: PDF