Acceptance Sampling Plans Based on Truncated Life Tests for the Nadarajah-Haghighi Distribution

AL-Husseini  Zainalabideen; Mehran  Naghizadeh Qomi; Seyed  Mohammad Taghi; Kamel  MirMostafaee

Authors

AL-Husseini Zainalabideen Department of Statistics, University of Mazandaran, Babolsar, Iran
Mehran Naghizadeh Qomi Department of Statistics, University of Mazandaran, Babolsar, Iran
Seyed Mohammad Taghi Department of Statistics, University of Mazandaran, Babolsar, Iran
Kamel MirMostafaee Department of Statistics, University of Mazandaran, Babolsar, Iran

Keywords:

Acceptance sampling plan, consumer and producer’s risk, Nadarajah-Haghighi distribution, operating characteristic function value

Abstract

In this paper, we develop a time truncated single acceptance sampling plan when the lifetime follows the Nadarajah-Haghighi distribution. We obtain the minimum sample size necessary to ensure a certain mean lifetime for various selected acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime. The operating characteristic function and the associated producers risks are also studied. A numerical example is provided to illustrate some results of the paper.

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