A four moments theorem for Gamma limits on a Poisson chaos

This paper deals with sequences of random variables belonging to a fixed chaos of order q generated by a Poisson random measure on a Polish space. The problem is investigated whether convergence of the third and fourth moment of such a suitably normalized sequence to the third and fourth moment of a centred Gamma law implies convergence in distribution of the involved random variables. A positive answer is obtained for q = 2 and q = 4. The proof of this four moments theorem is based on a number of new estimates for contraction norms. Applications concern homogeneous sums and U-statistics on the Poisson space.

Efficient algorithms for solving systems of ordinary differential equations for ecosystems modeling /

Mode of access: Internet.

A dictionary of chemical equations.

Mode of access: Internet.

Partial differential equations.

Mode of access: Internet.

An investigation of the exact solutions of the linearized equations for the flow past conical bodies,

Reproduced from type-written copy.

Existence theorems in partial differential equations.

"Only the material on elliptic equations will appear in these notes."

Integral equations

Mode of access: Internet.

Differential equations; geometric theory.

Mode of access: Internet.

Partial differential equations,

Mimeographed.

A computer research program for solving the reaction rate equations in the E ionospheric region /

Ionospheric Physics Laboratory Project 8653.

Plane waves and spherical means applied to partial differential equations.

Bibliography: p. 165-170.

Forecasting auto ownership and mode choice for U.S. metropolitan areas. Volume II: model equations. Final report.

Transportation Department, Office of University Research, Washington, D.C.