The Plya Sum Process: Limit Theorems for Conditioned Random Fields

作者：Rafler Mathias^*

来源：Journal of Theoretical Probability, 2013, 26(4): 1097-1116.

DOI：10.1007/s10959-012-0404-9

• Polya process
• H-sufficient statistics
• Extreme points
• Large deviations

Zessin (J. Contemp. Math. Anal. 44(1):36-44, 2009) constructed the so-called Plya sum process via partial integration technique. This process shares some important properties with the Poisson process such as complete randomness and infinite divisibility. This work discusses H-sufficient statistics for the Plya sum process as was done for the Poisson process by Nguyen and Zessin (Z. Wahrscheinlichkeitstheor. Verw. Geb. 37(3):191-200, 1976/77).

• 出版日期2013-12