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We assume that for a small time interval of length Δ the rate of reaction type R m remains constant, i.e., is equal to α m (z).
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This allows us to estimate the number of events and censorships in each time interval of length ¼.
The interpretation of (1) is that the CSH at time t times the length d t of a very (infinitesimally) small time interval equals the conditional probability of making an 0 → j transition within that very small time interval [ t, t + d t).
We investigate the impact of the number of studies and time interval length by simulating either 5, 10 or 30 trials, and applying Poisson one-stage models with time intervals of length 0.25, 0.5 or 1 year.
The planning horizon of one day (24 hours) was equally split into 6 time intervals of length 4 hours each.
Continuity on small time interval.
Comparison on small time interval.
Considering small time intervals Δt around each observation, the probability of this observation is.
These are integrals of the stochastic process X ( t, ω ) in small time intervals.
For networks with switched controlled nodes, a greedy algorithm is proposed to reduce the computation complexity resulting from the length of the time-horizon, where the nodes selection is carried out over divided small time-intervals.
We extended the smaller time intervals between birth and the age of 2 years to one age interval, in order to assess if the length of the age intervals influenced the results of the analyses.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com