Title :
Some characterizations for the exponential class of distributions
Author_Institution :
Dept. of Math. & Stat., Calgary Univ., Alta., Canada
fDate :
9/1/1995 12:00:00 AM
Abstract :
A general characterization theorem, based on conditional expectation, is proved for the exponential class of distributions. The theorem is then applied to numerous discrete and continuous probability distributions of the exponential class providing specific characterizations for each one of them
Keywords :
Poisson distribution; exponential distribution; gamma distribution; characterization theorem; conditional expectation; continuous probability distributions; discrete probability distributions; exponential distributions class; Cramer-Rao bounds; Lagrangian functions; Probability distribution; Random variables; Reliability theory;
Journal_Title :
Reliability, IEEE Transactions on
