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A longitudinal study involves time- discrete observation of time- continuous processes, where measurements of the variables of interest are taken at consecutive points in time.
We demonstrate the existence and uniqueness of optimal observation schedules for discrete observation of the simple death process.
Our goal is to estimate the unknown parameter (theta>0) based on the discrete observations of the process.
The challenge, however, is that, a closed form expression for the transitional density between two consecutive discrete observation points is unavailable for the system in (4).
We therefore subdivided the lines through a discrete number of points (n = 11 ).
The main aim of this paper is to present a novel method of generating a synthesis of a discrete set of point raingauge observations and a satellite derived rainfall product.
Interestingly, this is matched by a discrete peak of point mutations in 40%50%% of tumor cells.
The Viterbi algorithm works by calculating the most likely sequence of states based on a sequence of discrete observations.
Xiao et al. [38] used the quadratic variation to estimate unknown parameters of gfBm from discrete observations.
and Ndiaye [22] studied the parameter estimation for nonergodic fOU processes of the second kind with discrete observations.
Let be a given discrete set of finite points.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com