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A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution

S. Rajagopal1 , K. Vijayadevi2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.77-94, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.7794


Online published on Aug 31, 2018


Copyright © S. Rajagopal, K. Vijayadevi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: S. Rajagopal, K. Vijayadevi, “A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.77-94, 2018.

MLA Style Citation: S. Rajagopal, K. Vijayadevi "A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 77-94.

APA Style Citation: S. Rajagopal, K. Vijayadevi, (2018). A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 77-94.

BibTex Style Citation:
@article{Rajagopal_2018,
author = {S. Rajagopal, K. Vijayadevi},
title = {A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {77-94},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=713},
doi = {https://doi.org/10.26438/ijcse/v5i4.7794}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.7794}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=713
TI - A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S. Rajagopal, K. Vijayadevi
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 77-94
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
In this article, a hybrid group acceptance sampling plan (HGASP) is introduced for a truncated life test when the lifetime of an item follows transmuted rayleigh distribution. For specified consumer’s risk, test termination time and group size, the minimum number of testers and acceptance number are determined. The operating characteristic values according to various quality levels are presented. The minimum ratios of the true average life to the specified life at the specified producer’s risk are also found. The results are explained with examples. A comparative study of proposed hybrid group acceptance sampling plan based on transmuted rayleigh distribution with existing hybrid group acceptance sampling plan based on transmuted exponential distribution is also performed.

Key-Words / Index Term :
Transmuted Rayleigh Distribution, Hybrid Group Acceptance Sampling Plan (HGASP), Consumer’s risk, Operating characteristics (OC), Producer’s risk, Truncated Life Test.

References :
[1] Aslam, M., “Double Acceptance Sampling Based on Truncated Life Tests in Rayleigh Distribution”, European Journal of Scientific Research, 17(4), PP.605-611, 2007.
[2] Aslam, M., and Jun, C.- H., “A Group Acceptance Sampling Plans for Truncated Life Tests Based on the Inverse Rayleigh and Log-Logistic Distributions”, Pakistan Journal of Statistics, 25, PP.107-119, 2009.
[3] Baklizi, A., “Acceptance Sampling Based on Truncated Life Tests in the Pareto Distribution of the Second kind”, Advances and Applications in Statistics, 3(1), PP.33-48, 2003.
[4] Epstein, B., “Truncated Life Tests in the Exponential Case”, Annals of Mathematical Statistics, 25, PP.555-564, 1954.
[5] Faton Merovci., “Transmuted Rayleigh Distribution”, Austrian Journal of Statistics, Volume 42, Number 1, PP.21-31, 2013.
[6] Goode, H.P., and Kao, J.H.K., “Sampling Plans Based on the Weibull Distribution”, Proceeding of the Seventh National Symposium on Reliability and Quality Control, Philadelphia, PP.24-40, 1961.
[7] Srinivasa Rao, G., “A Group Acceptance Sampling Plans for Lifetimes Following a Generalized Exponential Distribution”, Economic Quality Control, 24(1),PP.75-85, 2009.
[8] Srinivasa Rao, G., “A Group Acceptance Sampling Plans for Truncated Life Tests for Marshall-Olkin Extended Lomax Distribution”, Electronic Journal of Applied Statistical Analysis, 3(1), pp.18-27, 2010.
[9] Srinivasa Rao, G., “A Hybrid Group Acceptance Sampling Plans for Lifetimes Based on Generalized Exponential Distribution”, Journal of Applied Sciences, 11(12): PP. 2232-2237, 2011.
[10] Subba Rao, R., Naga Durgamamba, A., Kantam, R.R.L., “Hybrid Group Acceptance Sampling Plan Based on Size Biased Lomax Model”, Mathematics and Statistics, 2(3): PP. 137-141, 2014.

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