A spatial scan statistic for survival data based on generalized life distribution

Vijaya Bhatt and Neeraj Tiwari

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 19, 5730-5744

Abstract: For many years, detection of clusters has been of great public health interest and widely studied. Several methods have been developed to detect clusters and their performance has been evaluated in various contexts. Spatial scan statistics are widely used for geographical cluster detection and inference. Different types of discrete or continuous data can be analyzed using spatial scan statistics for Bernoulli, Poisson, ordinal, exponential, and normal models. In this paper, we propose a scan statistic for survival data which is based on generalized life distribution model that provides three important life distributions, viz. Weibull, exponential, and Rayleigh. The proposed method is applied to the survival data of tuberculosis patients in Nainital district of Uttarakhand, India, for the year 2004–05. The Monte Carlo simulation studies reveal that the proposed method performs well for different survival distributions.

Date: 2016
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DOI: 10.1080/03610926.2014.948207

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