Two new goodness-of-_t tests are developed for the three-parameter
Weibull distribution with known shape parameter. These procedures
eliminate the need for estimating the unknown location and scale
parameters prior to initiating the tests and are easily adapted for
censored data. This is accomplished by employing the
Anderson-Darling A2 s and Cram_er-von Mises W2 S statistics based
on the normalized spacings of the sample data. Critical values of
A2 s and W2 s are obtained for common signi_cance levels by large
Monte Carlo simulations for shapes of 0.5(0.5)4.0 and sample sizes
of 5(5)40 with up to 40% censoring (type II) from the left and/or
right. An extensive Monte Carlo power study is also conducted to
compare the two tests with each other and with their prominent
competitors. The competitors include another spacings test, Z_, and
the modi_ed Kolmogorov-Smirnov (KS), Cram_er- von Mises (W2) and
Anderson-Darling (A2) EDF tests. The power results indicate that no
one test is superior in all situations. When the alternatives
considered are tested against a skewed Weibull null distribution,
A2 s and W2 s achieve considerably higher power than the other EDF
tests, but do not perform as well as Z_. On the other hand, when
the null distribution is symmetric, Z_ loses all of its power,
while A2 s and W2 s yield power comparable to the other EDF tests.
Results also show A2 s generally outperforms W2 s, and for these
reasons, A2 s is the preferred test for the three-parameter Weibull
with known shape.
General
| Imprint: |
Biblioscholar
|
| Country of origin: |
United States |
| Release date: |
October 2012 |
| First published: |
October 2012 |
| Authors: |
Eric W. Frisco
|
| Dimensions: |
246 x 189 x 10mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
192 |
| ISBN-13: |
978-1-286-86092-2 |
| Categories: |
Books >
Social sciences >
Education >
General
Promotions
|
| LSN: |
1-286-86092-X |
| Barcode: |
9781286860922 |
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