Hello list,
How can I create a data model which considers the min and a max of a variable?
Suppose that I have a population time series X[t]. Each year, the collected data field data have been Xmin[t] and Xmax[t]. I can only say that Xtrue[t] is in the interval [Xmin[t], Xmax[t]]. Xtrue[t] is modeled by its own process model.
How should I write the distribution probability for Xmin[t] and Xmax[t] from Xtrue[t]? e.g. what is the likelihood of Xmin[t] and Xmax[t] knowing Xtrue[t].
I have tried with a uniform or a generalized Pareto distribution but with no success.
Thanks!
Guillaume
--
Guillaume Chapron, PhD
Assistant Professor
Grimsö Wildlife Research Station
Swedish University of Agricultural Sciences
SE - 73091 Riddarhyttan, Sweden
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