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Cure rate estimation under case-1 interval censoring via smoothing

Title:

Cure rate estimation under case-1 interval censoring via smoothing

Malekiha, Mehrnoosh (2016) Cure rate estimation under case-1 interval censoring via smoothing. Masters thesis, Concordia University.

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Abstract

Estimating cure-rate is a popular research topic in the study of immunity of individuals against terminal diseases such as cancers and HIV. In the literature, mainly estimation based on parametric models have been studied so far, with a few exceptions. In this paper, we use the Poisson smoothing idea of Chaubey and Sen (1996) to propose two novel non-parametric estimators under Case-1 interval censoring, which improve upon previously proposed ones (Sen and Tan, 2008). We show that our estimators are consistent. In addition, their asymptotic normality is studied, and we apply our estimator to estimate cure-rate on data collected for lung tumor in mice (Finkelstein
and Wolfe, 1985). Finally, the smoothing parameter for optimum estimation has been determined by using Jackknife method.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Malekiha, Mehrnoosh
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics
Date:23 August 2016
Thesis Supervisor(s):Sen, Arusharka
ID Code:981754
Deposited By: MEHRNOOSH MALEKIHA
Deposited On:08 Nov 2016 19:45
Last Modified:18 Jan 2018 17:53
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