Accession Number:

AD0610845

Title:

ON A CHARACTERIZATION OF THE THREE LIMITING TYPES OF THE EXTREME.

Descriptive Note:

Technical rept. no. 104,

Corporate Author:

STANFORD UNIV CALIF

Personal Author(s):

• SETHURAMAN,J.

Report Date:

1965-02-01

Pagination or Media Count:

16.0

Abstract:

If X and Y are independent random variables then they are said to be completely confounding if the distributions of Z, Z conditional on Z X, Z conditional on Z Y are the same. If X, Y, and Z completely confound one another where Y and Z have the same distribution as aX b and cX d which are basically different linear functions, then the distribution of X is one of the three limiting types of the extreme minimum observation from independent samples from the same population. Author

Descriptors:

• FUNCTIONAL ANALYSIS
• DISTRIBUTION THEORY
• STATISTICAL ANALYSIS
• DISTRIBUTION
• STOCHASTIC PROCESSES
• STATISTICAL FUNCTIONS
• LIFE EXPECTANCY(SERVICE LIFE)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE