Acceptance sampling plans from truncated life test based on Tsallis q-exponential distribution

ABSTRACT

In this study, we propose a new single acceptance sampling plan from truncated life test assuming that the quality characteristics follow the Tsallis q-exponential distribution. The proposed plan is given, and then we derived the operation characteristics function and calculate the optimal sample size and producer’'s risk for some given parameter values to measure the performance of this plan. Also, a comparative study with other sampling plan is discussed to show the benefit of the proposed plan, and real data analysis is given to illustrate the applicability of the proposed plan in the industry.

KEYWORDS:

• Acceptance sampling plan
• Tsallis q-exponential distribution
• entropy
• operating characteristic function

MSC:

• 90B25
• 62N05
• 94A17

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Amjad D. Al-Nasser http://orcid.org/0000-0001-7515-2357

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.