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Asymptotic properties of the GMLE with case 2 interval-censored data

✍ Scribed by Qiqing Yu; Anton Schick; Linxiong Li; George Y.C. Wong

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
262 KB
Volume
37
Category
Article
ISSN
0167-7152

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✦ Synopsis

In case 2 interval censoring the random survival time X of interest is not directly observable, but only known to have occurred before Y, between Y and Z, or after Z, where (Y, Z) is a pair of observable inspection times such that Y<Z. We consider the large sample properties of the generalized maximum likelihood estimator (GMLE) of the distribution function of X with case 2 interval-censored data in which the inspection times are discrete random variables. We prove the strong consistency of the GMLE at the support points of the inspection times and establish its asymptotic normality in the case of only finite many support points. (~

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