Minimum Area Confidence Region for Weibull Distribution Based on Records

Abstract

Record values are commonly seen in real life applications, and many important studies on record values relate to Weibull distributions. Based on record values, we establish the minimum area confidence region for the two-parameter Weibull distribution, which is shown to be superior to the classical confidence regions for having smaller expected area.

Keywords

• order statistic
• parameter
• record value
• simulation
• sufficient statistic