GENERALIZED CONFIDENCE LIMITS ON LIFETIME PERFORMANCE INDEX FOR THE TWO-PARAMETER EXPONENTIAL LIFETIME MODEL WITH A RIGHT TYPE II CENSORED SAMPLE

• Activity Number: 345 - Computationally Intensive Methods
• Type: Contributed
• Date/Time: Tuesday, August 1, 2017 : 10:30 AM to 12:20 PM
• Sponsor: Section on Statistical Computing
• Author(s): Danush Wijekularathna* and SUMITH GUNASEKERA
• Companies: Troy University and University of Tennessee at Chattanooga
• Keywords: Coverage probability ; Classical lower confidence limit ; Generalized lower confidence limit ; Two-parameter exponential distribution

Abstract

Process capability analysis has been developed for assessing process quality, potential, and performance. Hence, in this presentation, the classical confidence lower confidence limit, and the generalized lower confidence limits based on the concept of a generalized confidence interval due to Weerahandi (Weerahandi S (1993) Generalized confidence intervals, J. Amer. Statist. Assoc. 88:899-905.), for the performance index C_L due to Montgomery (Montgomery DC (1985) Introduction to Statistical Quality Control, John Wiley & Sons, New York.) of the two-parameter exponentially distributed right-censored lifetimes, are constructed. It is shown that the generalized interval is exact, that is, it provides the nominal coverage. The confidence limit has to be numerically obtained; however, the required computations are simple and straightforward. confidence intervals for life-time performance index under the classical paradigm and the generalized paradigm are compared citing an illustrative example and two examples based on the simulated data to demonstrate the merits and advantages of the proposed generalized variable method over the classical method.