The prior probability density distribution summarizes what is known about the distribution of " r " in the absence of any observation.
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:An approach to the first two questions would be to consider this as determining the integral of a weight over the volume of the space of a manifold that has a property that can be calculated at each point, where the weight is given by the joint probability density distribution of the coordinates.
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The most widely used quantities are size and velocity probability density distributions as well as fluxes, e . g ., number, mass, momentum etc . Through a given plane, some instruments infer such statistical quantities from individual measurements, e . g ., number density from light extinction, but very few instruments are capable of making direct size and velocity measurements of individual droplets in a spray ( Kalantari and Tropea, 2007 ).
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