|
Archivo Abierto Institucional de la Universidad Carlos III de Madrid >
Investigación >
Departamentos >
Departamento de Estadística >
DES - Working Papers. Statistics and Econometrics. WS >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/9862
|
| Title: | Preservation of some stochastic orders by order statistics |
| Author(s): | Lillo, Rosa E.
Nanda, Asok K.
Shaked, Moshe |
| Publisher: | Universidad Carlos III de Madrid. Departamento de Estadística |
| Issued date: | Feb-2000 |
| URI: | http://hdl.handle.net/10016/9862 |
| Abstract: | We show that the order statistics, in a sample from a distribution that has a logconcave density function, are ordered in the up shifted likelihood ratio order.We also show that the order statistics from two different collections of random variables are ordered in the up shifted likelihood ratio order or in the regular likelihood ratio order, if the underlying random variables are so ordered. Some results about the down shifted likelihood ratio order are also included in this paper. Finally it is indicated how the results can be applied in reliability theory |
| Serie / Nº.: | UC3M Working papers. Statistics and Econometrics
00-14 |
| Keywords: | Likelihood ratio order
DFR
Equilibrium rate
Logconcave and logconvex densities
K-out-of-n reliability systems |
| Appears in Collections: | DES - Working Papers. Statistics and Econometrics. WS
|
This item is licensed under a Creative Commons License
Items in E-Archivo are protected by copyright, with all rights reserved, unless otherwise indicated.
|
