Web - based Supplementary Materials for “ A joint model for multistate disease processes and random informative observation times , with applications to electronic medical records data ”
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چکیده
We use the abbreviation x1:k for x1, . . . , xk, o1:k for o1, . . . ok, h1:k for h1, . . . , hk. The sequence of DDO times up to observation time tk is denoted τ (1, k) = {ti : hi = 1, i = 1, . . . , k}. Forward functions are defined as αtk(u) = P [o1:k, τ (1, k),h1:k, Xk = u] and backward functions as βtk(u) = P[ok+1:n, τ (k + 1, n),hk+1:n|Xk = u]. The forward function is initialized with αt1(u) = P(O1 = o1, X1 = u,H1 = h1) = e(u, o1)νh1πx1(h1), and the recursion for k = 2, . . . , n− 1 is
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A joint model for multistate disease processes and random informative observation times, with applications to electronic medical records data.
Multistate models are used to characterize individuals' natural histories through diseases with discrete states. Observational data resources based on electronic medical records pose new opportunities for studying such diseases. However, these data consist of observations of the process at discrete sampling times, which may either be pre-scheduled and non-informative, or symptom-driven and info...
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