Continuous Acceptance Sampling plans for Truncated Lindley Distribution Based on CUSUM Schemes

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

doi:https://doi.org/10.14445/22315373/IJMTT-V65I7P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P518

Continuous Acceptance Sampling plans for Truncated Lindley Distribution Based on CUSUM Schemes

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

Citation :

S.Dhanunjaya, Dr P. Mohammed Akhtar, Dr. G.Venkatesulu, "Continuous Acceptance Sampling plans for Truncated Lindley Distribution Based on CUSUM Schemes," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 117-129, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P518

Abstract

This paper is on the study of continuous acceptance sampling plans for Truncated Lindley distribution and optimization of CUSUM Schemes by using Gauss- Chebyshev integration method. In most of the life test experiments, the Truncated failure models are used to determine an optimal Truncated point. In the present study, we assume that the life of the units produced is distributed according to Truncated Lindley distribution. In a situation where there is a constraint on the lower part and upper part of the lifetime of units, Truncated failure models can be employed to study lifetime behavior of the items. Thus we study the lifetime of the units by using Truncated Lindley failure model. The objective of this paper is to optimize CASP – CUSUM Schemes through Truncated Lindley distribution. Solving integral equations by the Method of Gauss – Chebyshev integration we determine the probability of acceptance at various hypothetical values of the parameters. Finally based on the obtained results we determine the maximum values of Average Run Length and Probability of Acceptance.

Keywords

CASP – CUSUM Schemes, Optimal Truncated Point, optimal lower Truncated Point, Optimal upper Truncated Point, Truncated Lindley distribution.

References

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