Ordering properties of the TTT-plot of lifetimes with Schur joint densities

G. Nappo and F. Spizzichino

Statistics & Probability Letters, 1998, vol. 39, issue 3, 195-203

Abstract: In this note we study the law of scaled empirical TTT-plots of exchangeable lifetimes. By means of very simple arguments, we prove a monotonicity property in the case of absolutely continuous distributions with Schur-concave (or Schur-convex) densities. A stochastic comparison between the laws of TTT-plots for i.i.d. exponential variables and for Schur-concave (or Schur-convex) densities follows as a direct consequence. This can be seen as a natural analogue of a well-known fact valid for the case of i.i.d. lifetimes with monotone failure rates. It is remarkable that a stochastic comparison is even obtained in the likelihood ratio ordering sense.

Keywords: TTT-plot; Schur; densities; Normalized; spacings; between; order; statistics; Multivariate; stochastic; orderings (search for similar items in EconPapers)
Date: 1998
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(98)00021-2
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:39:y:1998:i:3:p:195-203

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().