On Performing Generalized Inferences for the Burr XII Reliability Function Based on Progressively Censored Data

• Activity Number: 42 - Novel Statistical Methods with a Biostatistics Leaning
• Type: Contributed
• Date/Time: Sunday, July 28, 2019 : 2:00 PM to 3:50 PM
• Sponsor: ENAR
• Author(s): Danush Wijekularathna* and Sumith Gunasekera
• Companies: Troy University and The University of Tennessee - Chattanooga
• Keywords: Fixed removals; Generalized confidence Interval; Generalized testing procedure; Reliability function; Progressively type II censored sample; Burr XII distribution

Abstract

The problem of hypothesis testing and interval estimation, based on the generalized variable method, for the reliability function of Burr XII distribution using progressively type II censored data with fixed removals are considered. The condence limits and testing procedures have to be numerically obtained; however, the required computations are simple and straightforward. There are no exact or approximate testing procedures and condence intervals for reliability parameter of a Burr XII distribution based on the progressively type-II right censored data with random or fixed removals available in the literature. In addition, generalized coverage probabilities, generalized size of the test, and adjusted and unadjusted generalized powers of the test are also discussed. Comparison of the reliability function under the classical paradigm and the generalized paradigm are done citing an illustrative example and an example based on the simulated data to demonstrate the advantages and merits of the proposed generalized variable method over the classical method.