Characterization of Partially Ordered Classes of Life Distributions.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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In this paper we obtain characterizations of life distributions F such that 1GF is convex concave and alternatively 1GF is starshaped antishaped, where G is an absolutely continuous life distribution with positive, bounded, right continuous density. These characterizations generalize earlier results for the IFRDFR and IFRADFRA classes, and should prove useful in unifying the study of the class distributions with decreasing density, comparing Weibull Gamma distributions with different shape parameters, etc. Author
- Statistics and Probability