CASP – CUSUM Schemes Based on Truncated Nadarajah-Haghighi Distribution

P. Adisekhara Reddy; Dr P. Mohammed Akhtar; S. Dhanunjaya; Dr. G. Venkatesulu

doi:https://doi.org/10.14445/22315373/IJMTT-V67I9P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 9 | Year 2021 | Article Id. IJMTT-V67I9P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I9P520

CASP – CUSUM Schemes Based on Truncated Nadarajah-Haghighi Distribution

P. Adisekhara Reddy, Dr P. Mohammed Akhtar, S. Dhanunjaya, Dr. G. Venkatesulu

Citation :

P. Adisekhara Reddy, Dr P. Mohammed Akhtar, S. Dhanunjaya, Dr. G. Venkatesulu, "CASP – CUSUM Schemes Based on Truncated Nadarajah-Haghighi Distribution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 9, pp. 171-182, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I9P520

Abstract

Acceptance sampling plans are introduced mainly to accept or reject the lots of finished products. There are several techniques available to control the quality. Some of the techniques are popularly used where testing involves destruction, for instance, in the manufacturing of crackers, bullets, batteries, bulbs and so on, it is impossible to go for 100% inspection. In this paper we optimized CASP-CUSUM Schemes based on the assumption that the continuous variable under consideration follows a Truncated Nadarajah-Haghighi Distribution. The Nadarajah-Haghighi Distribution is continuous distribution generally used in Life-time Analysis of products, particularly in estimating reliability by considering its distribution. Optimization of CASP-CUSUM Schemes is suggested based on numerical result obtained by changing the values of the parameters of the Nadarajah-Haghighi Distribution, finally based on the obtained results we determine the maximum values of Average Run Length and Probability of Acceptance

Keywords

CASP – CUSUM Schemes, Truncated Nadarajah-Haghighi Distribution, Optimal Truncated Point, Upper and lower Truncated Point, Average Run Length.

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