Journal
STATISTICS
Volume 44, Issue 1, Pages 77-88Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331880902757922
Keywords
Burr-XII distribution; Type II censoring; progressive censoring
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This study considers the estimation of a two-parameter Burr-XII distribution under Type II progressive censoring. Several pivotal quantities are proposed to construct the confidence interval for the shape parameter and the confidence region for two parameters. A biometrical example is given to illustrate the proposed confidence intervals or confidence regions. The criteria of minimum confidence length and minimum confidence area are used to obtain the optimal estimation. At last, a simulation study is done to compare the performances of all proposed pivotal quantities.
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