Confidence and Tolerance Bounds and a New Goodness-of-Fit Test for Two-Parameter Weibull or Extreme-Value Distributions (with Tables for Censored Samples of Size 3(1)25).

摘要

The report consists of two papers,both of which apply to two-parameter Weibull and extreme-value distributions. In the first paper, a new goodness-of-fit test for the two-parameter Weibull or extreme-value distribution with unknown parameters is developed. Its power with respect to analogues of four classical tests is investigated and tables are given for using the test with samples of size n, n = 3(1)25,censored at the mth smallest observation, m = 3(1)n. The second paper gives tables of values for obtaining confidence and tolerance bounds from best linear invariant estimates of parameters of extreme-value distributions. The tables apply to censored samples of size n,n = 3(1) 25. (Author)