caa a22 4500 386350175 CHVBK 20180307111826.0 cr unu---uuuuu 161130e198907 xx s 000 0 eng 10.1017/S0269964800001224 doi S0269964800001224 pii (NATIONALLICENCE)cambridge-10.1017/S0269964800001224 Crossing Properties of Mixture Distributions [Elektronische Daten] Mixture distributions are a frequently used tool in modelling random phenomena. We consider mixtures of densities from a one-parameter exponenvial family of distributions. Using the tools of totally positive functions and the variation-diminishing property of such, we study the effect of sign-crossing properties of two mixing densities μ1 and μ2 on the resulting mixture distributions f1 and f2. The results enable us to make stochastic and variability cornparisons for binomial-beta, mixed Weibull, and mixed gamma distributions. Copyright © Cambridge University Press 1989 Boland Philip J. Department of Statistics University College, Dublin Belfield, Dublin 4, Ireland Proschan Frank Department of Statistics The Florida State University Tallahassee, Florida 32306-3033 Tong Y. L. School of Mathematics Georgia Institute of Technology, Atlanta, Georgia 30332 Probability in the Engineering and Informational Sciences Cambridge University Press 3/3(1989-07), 355-366 0269-9648 3:3<355 1989 3 PES https://doi.org/10.1017/S0269964800001224 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0269964800001224 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boland Philip J. Department of Statistics University College, Dublin Belfield, Dublin 4, Ireland NATIONALLICENCE 700 1- Proschan Frank Department of Statistics The Florida State University Tallahassee, Florida 32306-3033 NATIONALLICENCE 700 1- Tong Y. L. School of Mathematics Georgia Institute of Technology, Atlanta, Georgia 30332 NATIONALLICENCE 773 0- Probability in the Engineering and Informational Sciences Cambridge University Press 3/3(1989-07), 355-366 0269-9648 3:3<355 1989 3 PES CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge