The Tail of the Convolution of Densities and its Application to a Model of HIV-Latency Time
Berman, Simeon M.
Ann. Appl. Probab., Tome 2 (1992) no. 4, p. 481-502 / Harvested from Project Euclid
Let $p(x)$ and $q(x)$ be density functions and let $(p \ast q)(x)$ be their convolution. Define $w(x) = -(d/dx)\log q(x) \text{and} v(x) = -(d/dx)\log p(x).$ Under the hypothesis of the regular oscillation of the functions $w$ and $v$, the asymptotic form of $(p \ast q)(x)$, for $x \rightarrow \infty$, is obtained. The results are applied to a model previously introduced by the author for the estimation of the distribution of HIV latency time.
Publié le : 1992-05-14
Classification:  Tail of a density function,  convolution,  regular oscillation,  regular variation,  extreme value distribution,  domain of attraction,  HIV latency time,  60E99,  60F05,  92A15
@article{1177005712,
     author = {Berman, Simeon M.},
     title = {The Tail of the Convolution of Densities and its Application to a Model of HIV-Latency Time},
     journal = {Ann. Appl. Probab.},
     volume = {2},
     number = {4},
     year = {1992},
     pages = { 481-502},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177005712}
}
Berman, Simeon M. The Tail of the Convolution of Densities and its Application to a Model of HIV-Latency Time. Ann. Appl. Probab., Tome 2 (1992) no. 4, pp.  481-502. http://gdmltest.u-ga.fr/item/1177005712/