RESEARCH COMMONS
LIBRARY

Inference about the transition-point in NBUE-NWUE or NWUE-NBUE Models

ResearchCommons/Manakin Repository

Inference about the transition-point in NBUE-NWUE or NWUE-NBUE Models

Show simple item record

dc.contributor.author Kochar, Subhash en
dc.contributor.author Hawkins, D. L. en
dc.date.accessioned 2010-06-02T19:41:23Z en
dc.date.available 2010-06-02T19:41:23Z en
dc.date.issued 1992 en
dc.identifier.uri http://hdl.handle.net/10106/2234 en
dc.description.abstract A life distribution F is called NBUE-NWUE if for some [see pdf for notation], its mean residual life function[see pdf for notation] satisfies e(t) < e(0) for [see pdf for notation]. If the inequalities for e(t) are reversed on these time intervals, it is called NWUE-NBUE. Using a characterization of such distributions in terms of the scaled total-time-on-test transform (STTT), we first give tests of exponentiality versus NBUE-NWUE or NWUE-NBUE with to unknown. This extends the work of Klefsjo (1989), who devised tests assuming that [see pdf for notation] is known. Then, assuming that F is either NBUE-NWUE or NWUE-NBUE, we give point estimates and asymptotic confidence intervals for to and [see pdf for notation]. The point estimates are asymptotically normal. We rely heavily on the theory of the empirical STTT process discussed in Csorgo, Csorgo and Horvith (1986). Two examples of real-data applications are provided. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;290 en
dc.subject Nonparametric inference en
dc.subject Weak convergence en
dc.subject Brownian bridge process en
dc.subject Reliability en
dc.subject.lcsh Mathematics Research en
dc.title Inference about the transition-point in NBUE-NWUE or NWUE-NBUE Models en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

Files in this item

Files Size Format View Description
MathTechReport290.pdf 886.1Kb PDF View/Open PDF

This item appears in the following Collection(s)

Show simple item record

Browse

My Account

Statistics

About Us