Laplace Transforms for Classes of Life Distributions

Block, Henry W.; Savits, Thomas H.

Ann. Probab., Tome 8 (1980) no. 6, p. 465-474 / Harvested from Project Euclid

Résumé

Using Laplace transforms, necessary and sufficient conditions are given for classes of life distributions which are of interest in reliability. Using these conditions, the problem of class closure under convolution is discussed. Furthermore, converses to results of A-Hameed for gamma wear processes are given.

Publié le : 1980-06-14
Classification: Laplace transform, IFR, IFRA, DMRL, NBU, NBUE, $TP_k$, $PF_k$, $SC_k$, gamma wear process, 60K10, 62N05

@article{1176994721,
     author = {Block, Henry W. and Savits, Thomas H.},
     title = {Laplace Transforms for Classes of Life Distributions},
     journal = {Ann. Probab.},
     volume = {8},
     number = {6},
     year = {1980},
     pages = { 465-474},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176994721}
}

Block, Henry W.; Savits, Thomas H. Laplace Transforms for Classes of Life Distributions. Ann. Probab., Tome 8 (1980) no. 6, pp.  465-474. http://gdmltest.u-ga.fr/item/1176994721/