Theoretical Statistics and Mathematics Unit, ISI Delhi

Association in time of a vector valued process with application to dental data

by A. D. Dharamadhikari and Isha Dewan

Consider a vector valued process $\underline{X}$ given by $\underline{X} = \{ \{X_i(m), m \ge 1\}, 1 \le i \le k \}$ takes values on a finite set $E^k$ where $E:\{1,2,\ldots,n\}$. We derive sufficient conditions under which such a stochastic process is associated in time. An illustrative example wherein such a process is useful is also provided. We show that one data set on stain on tooth is associated in time and the other one is `almost' associated in time.

isid/ms/2004/16 [fulltext]

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