The prior probability density distribution summarizes what is known about the distribution of " r " in the absence of any observation.
2.
: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.
3.
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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