Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Henry W. Block"'
Publikováno v:
J. Appl. Probab. 52, no. 3 (2015), 894-898
In this paper we investigate the limiting behavior of the failure rate for the convolution of two or more life distributions. In a previous paper on mixtures, Block, Mi and Savits (1993) showed that the failure rate behaves like the limiting behavior
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::332ba91beca25debe2ea42653bd4cc65
https://doi.org/10.1239/jap/1445543854
https://doi.org/10.1239/jap/1445543854
Publikováno v:
Probability in the Engineering and Informational Sciences. 29:253-264
In this paper, we continue our investigation of the shape of the failure rate of a mixture of two densities. In our recent paper, Block, Langberg and Savits [2], we introduced a variation of Glaser's method in which we emphasized the role of the mixi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83f6db87ebb8df988a74ec7e643713a2
https://doi.org/10.1017/s0269964814000321
https://doi.org/10.1017/s0269964814000321
Publikováno v:
Statistics & Probability Letters. 94:176-180
In this paper we investigate the limiting behavior of the failure rate for the convolution of two or more gamma distributions. In a related paper, Block et al. (2014) show that the limiting failure rate of a convolution of life distributions behaves
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8a31deee38ec8a575b776d2b5c97202
https://doi.org/10.1016/j.spl.2014.06.018
https://doi.org/10.1016/j.spl.2014.06.018
Autor:
Thomas H. Savits, Henry W. Block
Publikováno v:
Statistics & Probability Letters. 107:142-144
The failure rate of a convolution dominates, i.e., globally outperforms, the failure rate of any IFR component. An example is given to show this is not true for a DFR component.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11b09ab477f46e65b06cf4fecde3fc64
https://doi.org/10.1016/j.spl.2015.07.034
https://doi.org/10.1016/j.spl.2015.07.034
Autor:
Henry W. Block1, Lisa Weissfeld2
Publikováno v:
Lifetime Data Analysis. Mar2008, Vol. 14 Issue 1, p9-12. 4p.
Publikováno v:
Statistics & Probability Letters. 83:227-232
Sarkar (1998) showed that certain positively dependent ( MTP 2 ) random variables satisfy the Simes inequality. The multivariate- t distribution does not satisfy this ( MTP 2 ) property, so other means are necessary. A corollary was given in Sarkar (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fe0214f41ffdaf84afe221f082756a3
https://doi.org/10.1016/j.spl.2012.08.013
https://doi.org/10.1016/j.spl.2012.08.013
Publikováno v:
J. Appl. Probab. 49, no. 4 (2012), 1144-1155
In this paper we introduce a variation on Glaser's method for determining the shape of the failure rate function of a mixture. It has often been seen that the shape of the failure rate depends on the mixing parameter q. Our method provides an explana
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94095975f2871b51da3ea738adb1c6b6
https://doi.org/10.1017/s0021900200012936
https://doi.org/10.1017/s0021900200012936
Publikováno v:
Probability in the Engineering and Informational Sciences. 26:573-580
We consider a mixture of one exponential distribution and one gamma distribution with increasing failure rate. For the right choice of parameters, it is shown that its failure rate has an upsidedown bathtub shape failure rate. We also consider a mixt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::693b8ff54af98dd24f150efaa49c74f2
https://doi.org/10.1017/s0269964812000204
https://doi.org/10.1017/s0269964812000204
Publikováno v:
Journal of Applied Probability. 47:899-907
It can be seen that a mixture of an exponential distribution and a gamma distribution with increasing failure rate for the right choice of parameters can yield a distribution with a bathtub-shaped failure rate. In this paper we consider a continuous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1eb16f1cbe70dabd72b0965768e3173d
https://doi.org/10.1017/s0021900200007245
https://doi.org/10.1017/s0021900200007245
Autor:
Thomas H. Savits, Henry W. Block
Publikováno v:
The American Statistician. 64(4):335-339
Benford’s Law deals, among other things, with the proportion of numbers whose first significant digit is a 1 (e.g., 0.00131 and 19668 both have first significant digit 1) in a variety of datasets. In these datasets, which arise in various compendiu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd9b293b9e02f8c1735325b64953498a
http://pubs.amstat.org/doi/abs/10.1198/tast.2010.09169
http://pubs.amstat.org/doi/abs/10.1198/tast.2010.09169