Sequential Probability Ratio Tests of the Scale Parameter between Two Weibull Distributions with Known Shape Parameter.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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Three types of Weibull sequential probability ratio tests between specified scale parameters are examined when the shape parameter of the distribution is assumed known. The three types of testing are one test unit tested at a time with replacement on failure, n units on test without replacement dependent sample, and n units on test with replacement on failure. A new test statistic is presented for the third type. Truncated test plans representing 40 possible shape parameters ranging from .50 to 5.70 are presented for four sets of designated risks. Designated risks for equal Type I and Type II errors are 0.5, .10, .20, and .30. Monte Carlo computer simulations are used to evaluate the test plans in terms of actual risks and actual expected time and failure number to decision underH0 and HA.
- Statistics and Probability