On the evolution of set-valued functions: An example

Estáte V. Khmaladze

Statistics & Probability Letters, 2013, vol. 83, issue 3, 898-901

Abstract: Within set-valued analysis there exist several notions related to the infinitesimal behavior of set-valued functions. One more such notion, needed for a class of spacial statistical problems, was proposed in Khmaladze (2007). Recently we found another suitable characteristic of this evolution, which has a form very similar to what is known as a failure rate in reliability theory and survival analysis, and which was used to describe evolution in a lily pond-type process. In this note we show through an example that there are infinitely many set-valued functions with the same failure rate-type characteristic, but all with different set-valued derivatives of Khmaladze (2007).

Keywords: Change-set problem; Lily pond process; Failure rate; Derivative of set-valued functions; Fold-up derivative (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167715212003884
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:83:y:2013:i:3:p:898-901

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

DOI: 10.1016/j.spl.2012.10.016

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 ().