Point processes with finite-dimensional conditional probabilities

Immanants and Finite Point Processes

Given a Hermitian, non-negativede nite kernelK and a character of the symmetric group on n letters, de ne the corresponding immanant functionK [x1; : : : ; xn ] := P ( ) Qn i=1 K(xi; x (i)), where the sum is over all permutations of f1; : : : ; ng. When is the sign character (resp. the trivial character), then K is a determinant (resp. permanent). The function K is symmetric and non-negative, a...

Quantum Conditional Probabilities Are Not Probabilities of Quantum Conditional

A finite dimensional filter with exponential conditional density

In this paper we consider the continuous–time nonlinear filtering problem, which has an infinite–dimensional solution in general, as proved by Chaleyat–Maurel and Michel. There are few examples of nonlinear systems for which the optimal filter is finite dimensional, in particular Kalman’s, Beneš’, and Daum’s filters. In the present paper, we construct new classes of scalar nonlinear filtering p...

20 09 A finite dimensional filter with exponential conditional density ∗

In this paper we consider the continuous–time nonlinear filtering problem, which has an infinite–dimensional solution in general, as proved by Chaleyat–Maurel and Michel. There are few examples of nonlinear systems for which the optimal filter is finite dimensional, in particular Kalman’s, Beneš’, and Daum’s filters. In the present paper, we construct new classes of scalar nonlinear filtering p...

Probabilities of Conditionals and Conditional Probabilities Ii

A dams's thesis about indicative conditionals is that their assertIlability goes by the conditional subjective probability of the consequent given the antecedent, in very much the same way that assertability normally goes by the subjective probability of truth.' The thesis is well established; the remaining question is how it may best be explained. The nicest explanation would be that the truth...