Review

Decision Theoretic Sampling Plans: A Review

Volume: 52 Number: 1 May 12, 2026

Decision Theoretic Sampling Plans: A Review

Abstract

Acceptance sampling plan within the decision theoretic frame work has received a considerable amount of attention during the last few decades. In this review article we have mainly discussed different acceptance sampling plans based on the decision theoretic approach under the Bayesian set up for different censoring schemes. We have discussed optimal sampling plans for one and two sample problems, in case of competing risks and also for interval censored data. Throughout the article, we mention several open problems and suggest possible future work for the benefit of readers interested in this area of research. Finally, we have presented some numerical results to compare the performances of the different Bayesian sampling plans.

Keywords

Project Number

The authors did not receive any funds to prepare this manuscript.

References

  1. Balakrishnan, N. and Cramer, E. (2010). The Art of Progressive Censoring: Applications to Reliability and Quality. Birkhäuser, Boston, MA, USA.
  2. Balakrishnan, N. and Kundu, D. (2013). Hybrid censoring: models, inferential results, and applications. Computational Statistics and Data Analysis, 57:166–209.
  3. Chandrasekar, B., Childs, A., and Balakrishnan, N. (2004). Exact likelihood inference for the exponential distribution under generalized type-I and type-II hybrid censoring. Naval Research Logistics, 51:994–1004.
  4. Chen, J., Chou, W., Wu, H., and Zhou, H. (2004a). Designing acceptance sampling schemes for life testing with mixed censoring. Naval Research Logistics, 51:597–612.
  5. Chen, J., Choy, S. T. B., and Li, K. H. (2004b). Optimal bayesian sampling acceptance plan with random censoring. European Journal of Operational Research, 155:683–694.
  6. Chen, J. and Lam, Y. (1999). Bayesian variable sampling plan for the Weibull distribution with type i censoring. Acta Mathematicae Applicatae Sinica, 15:269–280.
  7. Chen, L. S., Liang, T., and Yang, M. C. (2021). Optimal curtailed Bayesian sampling plans for exponential distributions with type-I hybrid censored samples. Communications in StatisticsSimulation and Computation, 50(3):764–777.
  8. Chen, L. S., Liang, T., and Yang, M. C. (2023). Designing efficient Bayesian sampling plans based on the simple step-stress test under random stress-change time for censored data. Journal of Statistical Computation and Simulation, 93(7):1104–1129.

Details

Primary Language

English

Subjects

Applied Statistics

Journal Section

Review

Publication Date

May 12, 2026

Submission Date

March 18, 2026

Acceptance Date

April 20, 2026

Published in Issue

Year 2026 Volume: 52 Number: 1

APA
Prajapati, D., & Kundu, D. (2026). Decision Theoretic Sampling Plans: A Review. Selcuk Journal of Science, 52(1), 1-39. https://doi.org/10.63673/SJS.1909752
AMA
1.Prajapati D, Kundu D. Decision Theoretic Sampling Plans: A Review. Selcuk J. Sci. 2026;52(1):1-39. doi:10.63673/SJS.1909752
Chicago
Prajapati, Deepak, and Debasis Kundu. 2026. “Decision Theoretic Sampling Plans: A Review”. Selcuk Journal of Science 52 (1): 1-39. https://doi.org/10.63673/SJS.1909752.
EndNote
Prajapati D, Kundu D (May 1, 2026) Decision Theoretic Sampling Plans: A Review. Selcuk Journal of Science 52 1 1–39.
IEEE
[1]D. Prajapati and D. Kundu, “Decision Theoretic Sampling Plans: A Review”, Selcuk J. Sci., vol. 52, no. 1, pp. 1–39, May 2026, doi: 10.63673/SJS.1909752.
ISNAD
Prajapati, Deepak - Kundu, Debasis. “Decision Theoretic Sampling Plans: A Review”. Selcuk Journal of Science 52/1 (May 1, 2026): 1-39. https://doi.org/10.63673/SJS.1909752.
JAMA
1.Prajapati D, Kundu D. Decision Theoretic Sampling Plans: A Review. Selcuk J. Sci. 2026;52:1–39.
MLA
Prajapati, Deepak, and Debasis Kundu. “Decision Theoretic Sampling Plans: A Review”. Selcuk Journal of Science, vol. 52, no. 1, May 2026, pp. 1-39, doi:10.63673/SJS.1909752.
Vancouver
1.Deepak Prajapati, Debasis Kundu. Decision Theoretic Sampling Plans: A Review. Selcuk J. Sci. 2026 May 1;52(1):1-39. doi:10.63673/SJS.1909752

Journal History

    The journal was originally established in 1981 under the title S.Ü. Fen-Edebiyat Fakültesi Dergisi and retained this name until Issue 4 in 1984. From Issue 5 onward, its title was updated to S.Ü. Fen-Edebiyat Fakültesi Fen Dergisi, reflecting its focus on the natural sciences. Following the structural reorganization of Selçuk University in 2008, whereby the Faculty of Science and the Faculty of Letters were administratively separated (as per the Council of Ministers’ decision numbered 2008/4344, published in the Official Gazette No. 27073, dated December 3, 2008), the journal was subsequently published under the title Selcuk University Journal of Science Faculty (ISSN: 1300-4905) from 2009 to 2025. Since 2016, the journal has been indexed and hosted on the DergiPark platform, increasing its accessibility and visibility within the academic community. In line with its vision for internationalization and scientific growth, the journal adopted the name Selcuk Journal of Science (ISSN: 3108-575X) as of May 20, 2025, and continues its publication activities under this new title. Selcuk Journal of Science is published on behalf of Selçuk University under the auspices of Rector Prof. Dr. Hüseyin YILMAZ.