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dc.contributor.advisorMukerjee, Harien_US
dc.contributor.authorMalla, Ganesh B.en_US
dc.date.accessioned2010-09-01T16:09:37Z
dc.date.available2010-09-01T16:09:37Z
dc.date.issued2009-07en_US
dc.identifier.otherd09022en_US
dc.identifier.urihttp://hdl.handle.net/10057/2547
dc.descriptionThesis (Ph.D.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statisticsen_US
dc.description.abstractIn survival analysis and in the analysis of the life tables an important biometric function of interest is the mean residual life function (MRLF) M whose value at age t is the average future life time given that a subject has survived till time t. Two important classes of the MRLFs are the `New Better than Used in Expectation (NBUE) class' and `Decreasing Mean Residual Life (DMRL) class'. These two classes are defined as {M(t):M(t)≤M(0), t≥0} and {M(t):M(t)≤M(s), if t≥s} respectively. In this dissertation we consider the problem of estimation and testing for the distributions in the NBUE and DMRL classes under random censoring. Our order restricted estimators of M for the NBUE and DMRL classes are respectively M*n(t) = Mn(t)٨Mn(0) and Mn**(t) = infy≤t Mn(y), where Mn is the Kaplan-Meier estimator of M. We have proven that both these estimators are uniformly strongly consistent, and converge weakly to a Gaussian process. By simulation, we have also shown that our estimators are better than Mn in terms of asymptotic mean sums of squares. Several applications of our estimators have been provided. Tests that identify the NBUE or DMRL behavior have been developed. Both tests are shown to be consistent in their classes. We have derived the asymptotic distributions of our test statistics.en_US
dc.format.extentxii, 79 p.en_US
dc.format.extent320485 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.publisherWichita State Universityen_US
dc.subject.lcshElectronic dissertationsen
dc.titleOrder restricted inferences about lifetimes under censoringen_US
dc.typeDissertationen_US


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