Reliability & Life Testing Handbook, Volume 2

Chapter 8: Sequential Testing on the Scale Parameter of the Weibull Distribution

8.1 ACCEPT AND REJECT CRITERIA

In sequential testing three decisions are of importance:

  1. Decision D 1: The units have a scale parameter, ?, or characteristic life when ? = 0, which is equal to a minimum acceptable value of ? L 1 with a confidence level of (1 - ?).

  2. Decision D 2: The units have a scale parameter, ?, which is equal to an upper limit of ? U 1with a confidence level of (1 - ?).

  3. Decision D 3: There is insufficient information to decide whether Case 1 or Case 2 prevails, and the test has to be continued until a decision favoring either Case 1 or Case 2 is made.

The risk involved in arriving at the decision of Case 1 is ?, which is the probability that units are accepted, as a result of the sequential test, which have a characteristic life equal to or lower than ? L 1.

The risk involved in arriving at the decision of Case 2 is ?, which is the probability that units are rejected, as a result of the sequential test, which have a characteristic life equal to or greater than ? U l.

Decision D 1 is made that ? = ? L 1 when [1]

(8.1)

where

r

=

number of failures,

T i

=

times to failure,

?*

=

Weibull distribution's shape parameter,

and

k

=

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: Color Meters and Appearance Instruments
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.