Accession Number:

AD0743789

Title:

Boundary Crossing Probabilities for U-Statistics.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Khan,Rasul A.

Report Date:

1971-09-17

Pagination or Media Count:

23.0

Abstract:

Let the set U sub n, n or r be a sequence of U-statistics with mean theta. The author computes upper bounds on the probabilities PU sub n - theta or a sub n for some n or m and PU sub n - theta or a sub n for some n or m for certain for certain boundary sequences including a sub n Osquare root 2 loglog nn. An invariance theorem is also deduced. Author

Descriptors:

• (*STATISTICAL ANALYSIS
• PROBABILITY)
• SEQUENCES(MATHEMATICS)
• RANDOM VARIABLES
• PERMUTATIONS
• THEOREMS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE