Accession Number:

AD0763675

Title:

Notes on Random Measures and Point Processes.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s):

• Jagers,Peter

Report Date:

1973-06-06

Pagination or Media Count:

53.0

Abstract:

Conditions are given for the existence of point processes and random measures in locally compact, second countable spaces. Characteristic functionals and weak convergence are discussed in the vague topology as well as Skorohod topology. The Poisson process and completely random measures are characterized. Necessary and sufficient conditions for the weak convergence of superpositions of independent point processes to a Poisson process are proved. Author

Descriptors:

• (*STATISTICAL PROCESSES
• MEASURE THEORY)
• TOPOLOGY
• RANDOM VARIABLES
• VECTOR SPACES
• CONVERGENCE
• SET THEORY
• THEOREMS
• STOCHASTIC PROCESSES

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE