On Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution
Asian Journal of Probability and Statistics,
Page 1-7
DOI:
10.9734/ajpas/2021/v15i130339
Abstract
This paper proposed a sequential probability sampling plan for a truncated life test using a Rayleigh distribution from a designed double sampling plans where the interest was to obtain the minimum sample size necessary to assure that the average life time of a product is longer than the default life time at the specified consumer’s and producer’s confidence level. Estimations of minimum sample, acceptance and rejection numbers obtained are analyzed and presented to explain the usefulness of sequential plans in relation to single and double sampling plan. Probability of acceptance (Pa), Average sample number (ASN) and Average outgoing quality (AOQ) for the plans are computed. The three regions; acceptance, continue sampling and rejection were determined. The five points necessary to plot ASN curve were also computed and presented.
Keywords:
- Average Sample Number (ASN)
- Acceptable Quality Level (AQL)
- consumer’s risk; producer’s risk
- Lot Tolerance Percent Defective (LTPD)
How to Cite
Zoramawa, A. B., & Gulumbe, S. U. (2021). On Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution. Asian Journal of Probability and Statistics, 15(1), 1-7. https://doi.org/10.9734/ajpas/2021/v15i130339
References
Zoramawa AB, et al. Developing double acceptance sampling plans for percentiles based on the inverse Rayleigh distribution. International Journal of Statistics and Applied Mathematics. 2018a;3(1):39-44.
Schilling EG, Neubauer DV. Acceptance sampling in quality control. 3rd ed. CRC Press, New York: Taylor & Francis Group. 2017;883.
Montgomery DC. Introduction to statistical quality control. 7th ed. United States of America: John Wiley & Sons, Inc. 2013;774.
Gardonyi G, Por G, Samu K. An Enhanced evaluation method of sequential probability ratio test. Mathematical Problems in Engineering; 2019.
Zoramawa AB, Musa Y, Usman U. Double acceptance sampling plans based on truncated life tests for the inverse rayleigh distribution. Continental Journal Applied Sciences. 2018b;13(2):18-28.
Aslam M. Double acceptance sampling based on truncated life tests in rayleigh distribution. European Journal of Scientific Research. 2007;17(4):605-610.
Aslam M, Jun C. A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh distribution and log-logistics distributions. Pakistan Journal of Statistics. 2009;25(2):107-119.
Wald A. Sequential analysis. New York: John Wiley & Sons, Inc.; 1947.
Rosaiah K, Kantam RRL. Acceptance sampling based on the inverse rayleigh distribution. Economic Quality Control. 2005;20(2):277-286.
Xian L, Liu J, Ying Z. Generalized sequential probability ratio test for separate families of hypotheses. New York, NY 10027, USA; 2017a.
Prasad S, Ramadevi B, Sridevi G. Detection of Burr type XII Reliable Software Using SPRT on Interval Domain Data. International Journal of Computer Science and Information Technologies. 2015;6(2): 1806-1811.
Opperman L, Ning W. Sequential probability ratio test for skew normal distribution. Communications in Statistics-Simulation and Computation; 2019.
Glen S. Likelihood-Ratio Tests (Probability and Mathematical Statistics); 2021.
Available:https://www.statisticshowto.com/likelihood-ratio-tests/Zoramawa AB, et al. Developing double acceptance sampling plans for percentiles based on the inverse Rayleigh distribution. International Journal of Statistics and Applied Mathematics. 2018a;3(1):39-44.
Schilling EG, Neubauer DV. Acceptance sampling in quality control. 3rd ed. CRC Press, New York: Taylor & Francis Group. 2017;883.
Montgomery DC. Introduction to statistical quality control. 7th ed. United States of America: John Wiley & Sons, Inc. 2013;774.
Gardonyi G, Por G, Samu K. An Enhanced evaluation method of sequential probability ratio test. Mathematical Problems in Engineering; 2019.
Zoramawa AB, Musa Y, Usman U. Double acceptance sampling plans based on truncated life tests for the inverse rayleigh distribution. Continental Journal Applied Sciences. 2018b;13(2):18-28.
Aslam M. Double acceptance sampling based on truncated life tests in rayleigh distribution. European Journal of Scientific Research. 2007;17(4):605-610.
Aslam M, Jun C. A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh distribution and log-logistics distributions. Pakistan Journal of Statistics. 2009;25(2):107-119.
Wald A. Sequential analysis. New York: John Wiley & Sons, Inc.; 1947.
Rosaiah K, Kantam RRL. Acceptance sampling based on the inverse rayleigh distribution. Economic Quality Control. 2005;20(2):277-286.
Xian L, Liu J, Ying Z. Generalized sequential probability ratio test for separate families of hypotheses. New York, NY 10027, USA; 2017a.
Prasad S, Ramadevi B, Sridevi G. Detection of Burr type XII Reliable Software Using SPRT on Interval Domain Data. International Journal of Computer Science and Information Technologies. 2015;6(2): 1806-1811.
Opperman L, Ning W. Sequential probability ratio test for skew normal distribution. Communications in Statistics-Simulation and Computation; 2019.
Glen S. Likelihood-Ratio Tests (Probability and Mathematical Statistics); 2021.
Available:https://www.statisticshowto.com/likelihood-ratio-tests/
Schilling EG, Neubauer DV. Acceptance sampling in quality control. 3rd ed. CRC Press, New York: Taylor & Francis Group. 2017;883.
Montgomery DC. Introduction to statistical quality control. 7th ed. United States of America: John Wiley & Sons, Inc. 2013;774.
Gardonyi G, Por G, Samu K. An Enhanced evaluation method of sequential probability ratio test. Mathematical Problems in Engineering; 2019.
Zoramawa AB, Musa Y, Usman U. Double acceptance sampling plans based on truncated life tests for the inverse rayleigh distribution. Continental Journal Applied Sciences. 2018b;13(2):18-28.
Aslam M. Double acceptance sampling based on truncated life tests in rayleigh distribution. European Journal of Scientific Research. 2007;17(4):605-610.
Aslam M, Jun C. A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh distribution and log-logistics distributions. Pakistan Journal of Statistics. 2009;25(2):107-119.
Wald A. Sequential analysis. New York: John Wiley & Sons, Inc.; 1947.
Rosaiah K, Kantam RRL. Acceptance sampling based on the inverse rayleigh distribution. Economic Quality Control. 2005;20(2):277-286.
Xian L, Liu J, Ying Z. Generalized sequential probability ratio test for separate families of hypotheses. New York, NY 10027, USA; 2017a.
Prasad S, Ramadevi B, Sridevi G. Detection of Burr type XII Reliable Software Using SPRT on Interval Domain Data. International Journal of Computer Science and Information Technologies. 2015;6(2): 1806-1811.
Opperman L, Ning W. Sequential probability ratio test for skew normal distribution. Communications in Statistics-Simulation and Computation; 2019.
Glen S. Likelihood-Ratio Tests (Probability and Mathematical Statistics); 2021.
Available:https://www.statisticshowto.com/likelihood-ratio-tests/Zoramawa AB, et al. Developing double acceptance sampling plans for percentiles based on the inverse Rayleigh distribution. International Journal of Statistics and Applied Mathematics. 2018a;3(1):39-44.
Schilling EG, Neubauer DV. Acceptance sampling in quality control. 3rd ed. CRC Press, New York: Taylor & Francis Group. 2017;883.
Montgomery DC. Introduction to statistical quality control. 7th ed. United States of America: John Wiley & Sons, Inc. 2013;774.
Gardonyi G, Por G, Samu K. An Enhanced evaluation method of sequential probability ratio test. Mathematical Problems in Engineering; 2019.
Zoramawa AB, Musa Y, Usman U. Double acceptance sampling plans based on truncated life tests for the inverse rayleigh distribution. Continental Journal Applied Sciences. 2018b;13(2):18-28.
Aslam M. Double acceptance sampling based on truncated life tests in rayleigh distribution. European Journal of Scientific Research. 2007;17(4):605-610.
Aslam M, Jun C. A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh distribution and log-logistics distributions. Pakistan Journal of Statistics. 2009;25(2):107-119.
Wald A. Sequential analysis. New York: John Wiley & Sons, Inc.; 1947.
Rosaiah K, Kantam RRL. Acceptance sampling based on the inverse rayleigh distribution. Economic Quality Control. 2005;20(2):277-286.
Xian L, Liu J, Ying Z. Generalized sequential probability ratio test for separate families of hypotheses. New York, NY 10027, USA; 2017a.
Prasad S, Ramadevi B, Sridevi G. Detection of Burr type XII Reliable Software Using SPRT on Interval Domain Data. International Journal of Computer Science and Information Technologies. 2015;6(2): 1806-1811.
Opperman L, Ning W. Sequential probability ratio test for skew normal distribution. Communications in Statistics-Simulation and Computation; 2019.
Glen S. Likelihood-Ratio Tests (Probability and Mathematical Statistics); 2021.
Available:https://www.statisticshowto.com/likelihood-ratio-tests/
-
Abstract View: 442 times
PDF Download: 130 times
Download Statistics
Downloads
Download data is not yet available.
