ZUBAIR-EXPONENTIATED WEIBULL DISTRIBUTION WITH GROUP ACCEPTANCE SAMPLING SCHEMES AND APPLICATIONS TO BLADDER CANCER
Keywords:
order statistics, acceptance sampling plans, moment generating function, maximum likelihood, group acceptance, bladder cancer.DOI:
https://doi.org/10.17654/0972361723072Abstract
This article presents the Zubair-exponentiated Weibull distribution, a modified model with four parameters, considered to be a specific subclass of the complementary exponentiated G Poisson (CEGP) distribution. Compared to other new models, the new model offers superior fit and can be highly useful in assessing and modeling actual data. Moments, incomplete moments, the quantile function, and order statistics are some factors that affect the Zubair-exponentiated Weibull model’s primary characteristics. Additionally, when an item’s lifetime follows the Zubair-exponentiated Weibull distribution (ZEW), the current work examines the group acceptance sampling strategy based on truncated lifetimes. The minimal number of groups and the acceptance number are calculated for group size, given the provided consumer risk and the test termination time. Achieving the smallest ratio of the actual average life to the stipulated life at a particular producer’s risk requires computing the values of the characteristic operational function for various quality levels. Bladder cancer data was used to illustrate the techniques.
Received: September 1, 2023
Accepted: October 31, 2023
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