论文信息 - A class of bivariate Poisson processes

A class of bivariate Poisson processes

Tyan and Thomas (J. Multivariate Anal. 5 (1975), 227-235), have given a characterization of a class of bivariate distributions which yields, as a special case, a characterization of a class of bivariate Poisson distributions. In this paper we develop an analogous characterization of a class of bivariate Poisson processes and give some properties and examples of such processes.

Robert C. Griffiths | Robin K. Milne | R. Griffiths | R. Milne | Robert C. Griffiths

[1] H. O. Lancaster. Joint Probability Distributions in the Meixner Classes , 1975 .

[2] Kurt Nawrotzki,et al. Eine Monotonieeigenschaft zufälliger Punktfolgen , 1962 .

[3] M. Westcott. The probability generating functional , 1972, Journal of the Australian Mathematical Society.

[4] P. A. W. Lewis,et al. Multivariate point processes , 2018, Point Processes.

[5] J. B. Thomas,et al. Characterization of a class of bivariate distribution functions , 1975 .

[6] Robin Kingsley Milne,et al. Stochastic analysis of multivariate point processes , 1971 .

[7] J. Meixner. Erzeugende Funktionen der Charlierschen Polynome , 1939 .

[8] Haluk Derin,et al. Two Necessary Conditions on the Representation of Bivariate Distributions by Polynomials , 1976 .