We use the mean residual life function in connection with the conditional variance to characterize the linear exponential and the truncated linear exponential distributions using the k-th record values. A characterization of the rayleigh and truncated rayleigh distributions as well as exponential and truncated exponential distributions follow as special cases.
El-Arishy, S. (2005). Characterization Via the Conditional Variance of Linear Exponential and Truncated Linear Exponential Distributions. The Egyptian Statistical Journal, 49(2), 167-180. doi: 10.21608/esju.2005.313563
MLA
S. M. El-Arishy. "Characterization Via the Conditional Variance of Linear Exponential and Truncated Linear Exponential Distributions", The Egyptian Statistical Journal, 49, 2, 2005, 167-180. doi: 10.21608/esju.2005.313563
HARVARD
El-Arishy, S. (2005). 'Characterization Via the Conditional Variance of Linear Exponential and Truncated Linear Exponential Distributions', The Egyptian Statistical Journal, 49(2), pp. 167-180. doi: 10.21608/esju.2005.313563
VANCOUVER
El-Arishy, S. Characterization Via the Conditional Variance of Linear Exponential and Truncated Linear Exponential Distributions. The Egyptian Statistical Journal, 2005; 49(2): 167-180. doi: 10.21608/esju.2005.313563