Accession Number:

AD0610593

Title:

EXPONENTIAL LIFE TEST PROCEDURES WHEN THE DISTRIBUTION HAS MONOTONE FAILURE RATE

Descriptive Note:

Technical rept.

Corporate Author:

CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s):

• Barlow, Richard E.
• Proschan, Frank

Report Date:

1964-10-01

Pagination or Media Count:

50.0

Abstract:

A number of estimates and tests for mean life and other parameters derived under the exponential distribution assumption are studied under the alternative condition that the distribution has increasing decreasing failure rate. The estimates considered are, for the most part, based on censored and truncated samples. It is shown that these estimates generally favor the producer consumer in the IFR DFR case. Properties of order statistics and their spacings from distributions with increasing decreasing failure rate are presented.

Descriptors:

• *QUALITY CONTROL
• *SAMPLING
• *STATISTICAL ANALYSIS
• DECISION THEORY
• DISTRIBUTION THEORY
• FAILURE(MECHANICS)
• INEQUALITIES
• LIFE EXPECTANCY(SERVICE LIFE)
• OPERATIONS RESEARCH
• PROBABILITY
• RELIABILITY
• SPECIAL FUNCTIONS(MATHEMATICS)
• STATISTICAL DISTRIBUTIONS
• STATISTICAL TESTS
• STOCHASTIC PROCESSES
• THEOREMS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE