Indian Journal of Mathematics Research

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Single Sampling Plan for Truncated Life Tests Based on Rayleigh Distribution


Affiliations
1 Department of Mathematics Avinashilingam Institute for Home Science and High Education for Women, Coimbatore – 641043., India
2 Department of Mathematics, Avinashilingam Institute for Home Science and High Education for Women, Coimbatore – 641043., India
     

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Acceptance single sampling plan is developed when the life test truncated for a pre-specified time based on product quality following Rayleigh distribution. The minimum sample sizes necessary to ensure the specified life time under a given customer's confidence level is determined for percentiles of Rayleigh distribution. The operating characteristic values of the single sampling plan are obtained and analyzed. Numerical example is provided to illustrate the selection of sampling plan.

Keywords

Acceptance Single Sampling Plan, Consumer's Confidence Level, Operating Characteristic Function, Binomial Model, Poisson Model
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  • B. Epstein, Truncated life test in the experimental case, Annals of Mathematical Statistics, 25, 1954, 555-564.

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  • Y.L. Lio, T.R. Tsai and S.J. Wu, Acceptance sampling plans from truncated life tests based on the Birnbaum Saunders distribution for percentiles, Communications in Statistics-Simulation and Compution, 39, 2010, 119-136.

  • G.S. Rao and R.R.L. Kantam, Acceptance sampling plans from truncated life tests based on the log-logistic distribution for percentiles, Economic Quality Control, 25(2), 2010, 153-167.

  • K. Rosaiah and R.R.L. Kantam, Acceptance sampling based on the inverse Rayleigh distribution, Economic Quality Control, 20, 2005, 277-286.

  • G. Srinivasa Rao, R.R.L. Kantam, K. Rosaiah and J. Pratapa Reddy, Acceptancesampling plans for percentiles based on the inverse Rayleigh distribution, Electronic Journal of Applied Statistical Analysis, 5(2), 2012, 164-177.


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  • Single Sampling Plan for Truncated Life Tests Based on Rayleigh Distribution

Abstract Views: 442  |  PDF Views: 9

Authors

S. Muthulakshmi
Department of Mathematics Avinashilingam Institute for Home Science and High Education for Women, Coimbatore – 641043., India
S. Kavitha
Department of Mathematics, Avinashilingam Institute for Home Science and High Education for Women, Coimbatore – 641043., India

Abstract


Acceptance single sampling plan is developed when the life test truncated for a pre-specified time based on product quality following Rayleigh distribution. The minimum sample sizes necessary to ensure the specified life time under a given customer's confidence level is determined for percentiles of Rayleigh distribution. The operating characteristic values of the single sampling plan are obtained and analyzed. Numerical example is provided to illustrate the selection of sampling plan.

Keywords


Acceptance Single Sampling Plan, Consumer's Confidence Level, Operating Characteristic Function, Binomial Model, Poisson Model

References