
Estimation of Probability Measures Using Aggregate Population Data 167
over P ∈ P(T ), the s et of cumulative distribution functions on T , or over
some suitably chosen subset of P(T ).
5.3.2 Probability Measure Dependent Systems—Maxwell’s
Equations
We turn to electromagnetics to provide a second example of these aggregate
dynamics/aggregate data inver se problems. The equations and ideas underly-
ing the theory of electricity and magne tism in materials (where these concepts
are most impor tant) are q uite complex. We consider Maxwell’s equations in a
complex, heterogeneous material (see [10] and the extensive electromagnetics
references therein including ...