Time truncated life tests for new attribute sampling inspection plan and its applications

ABSTRACT

In this article, a new approach of modified attribute chain sampling inspection plan for time-truncated life test is suggested when lifetime of items follows the generalized exponential distribution. A brief discussion about the generalized exponential distribution is provided. Also, plan parameters are determined based on two points approach: acceptable quality level and limiting quality level. Trend of the sample sizes for each of the considered values of shape parameter are explained in details. Also, plan parameters are determined in case of exponential distribution which is a special case of generalized exponential distribution. Applications of proposed attribute sampling inspection plan have been shown through the real data sets. This study contributes to the development of acceptance sampling inspection plan under the time truncated scheme and in a nutshell, no one used this presented methodology of modified attribute chain sampling inspection plan for generalized exponential distribution.

Graphical Abstract

KEYWORDS:

• Consumer’s risk
• generalized exponential distribution
• operating characteristic curve
• producer’s risk
• truncated life test

Acknowledgments

The authors express their sincere thanks to the esteemed reviewers and the editor for making some useful suggestions on an earlier version of this manuscript which resulted in this improved version.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Harsh Tripathi

Harsh Tripathi is currently, he is working as an assistant professor in Department of Mathematics, Lovely Professional University, Punjab, Inidia. He has published 6 papers in reputed  international journals. His research area is: Statistical Quality Control, Distribution theory, Classical and Bayesian estimation.

Amer Ibrahim Al-Omari

Amer Ibrahm Al-Omari is currently, he is working as an associate professor in Department of Mathematics, Al al-Bayt University, Mafraq, Jordan. He has published more than 100 papers in reputed international journals. His research area is: Statistical Quality Control, Distribution theory, Classical and Bayesian estimation.

Mahendra Saha

Mahendra Saha is currently, he is working as an assistant professor in Department of Statistics, Central University of Rajasthan, India. He has published more than 40 papers in reputed national and international journals. His research area is: Statistical Quality Control, Distribution theory, Classical and Bayesian estimation.

Akshay Mali

Akshay Mali was a M.Sc student  in Department of Statistics, Central University of Rajasthan, India.