CASP-CUSUM Schemes Based on Truncated Gompertz Family of Distribution
Authors
Dr. G. Venkatesulu
Lecturer in Statistics Govt. (U.G&P. G) College, Ananthapuramu-515001 (IN)
Dr. P. Mohammed Akhtar
Professor Dept. of Statistics, Sri Krishanadevaraya University, Ananthapuramu-515003 (IN)
B. Sainath
Assistant Professor(C), Dept. of OR&SQC, Rayalaseema University, Kurnool-518007 (IN)
Dr. B.R. Narayana Murthy
Lecturer in Statistics Govt. (U.G&P. G) College, Ananthapuramu-515001 (IN)
Article Information
DOI: 10.51583/IJLTEMAS.2025.1412000113
Subject Category: STATISTICS
Volume/Issue: 14/12 | Page No: 1312-1326
Publication Timeline
Submitted: 2026-01-13
Published: 2026-01-12
Abstract
acceptance sampling plan was adopted to study mainly for valid conclusions with regard to consideration accept or reject of the finished products. In this way numbers of optimal techniques were developed to increase and control the quality of the products. Basing on the assumption the variable with regard to quality characteristic is distributed accordingly to certain probability law. In our study we optimized CASP-CUSUM Schemes based on the assumption that the continuous variable which is under the consideration follows a Truncated Expoentiated Gompertz distribution utilized in Statistical Quality Control and Reliability analysis. In particular the distribution is meant for estimating the optimal truncated point and probability of acceptance of lot. The operating characteristic and Average run length values are presented. The results are illustrated by figures.
Keywords
CASP-CUSUM Schemes, Optimal Truncated point, Truncated Expoentiated Gompertz Distribution.
Downloads
References
1. Akhtar, P. Md. and Sarma, K.L.A.P. (2004). “Optimization of CASP-CUSUM Schemes based on Truncated Gamma Distribution”. Bulletin of Pure and applied sciences, Vol-23E (No.2):215-223. [Google Scholar] [Crossref]
2. GOMPERTZ B. (1825), on the nature of a function expressive of the law of human mortality, and on a new mode of determining the value of life contigences, Philosophical Transactions of the Royal Society, 115,513-585. [Google Scholar] [Crossref]
3. Beattie, B.W.(1962). “A Continuous Acceptance Sampling procedure based upon a cumulative Sums Chart for number of defective”. Applied Statistics, Vol. 11(No.2): 137-147. [Google Scholar] [Crossref]
4. MURPHY E.M., D.N.NAGPUR (1972), A Gompertz fit that fits : application to Canadian fertility patterns , Demography , 9, 35-50. [Google Scholar] [Crossref]
5. Hawkins, D.M. (1992). “A Fast Accurate Approximation for Average Lengths of CUSUM Control Charts”. Journal on Quality Technology, Vol. 24(No.1): 37-43. [Google Scholar] [Crossref]
6. Jain, M.K. ,Iyengar, S.R.K. and Jain, R.K. “Numerical Methods of Scientific and Engineering Computations”, Willy Eastern Ltd., New Delhi. [Google Scholar] [Crossref]
7. Kakoty, S and Chakravaborthy, A.B., (1990), “A Continuous Acceptance Sampling Plan for Truncated Normal distribution based on Cumulative Sums”, Journal of National Institution for Quality and Reliability, Vol.2 (No.1): 15-18. [Google Scholar] [Crossref]
8. Lonnie, C. Vance. (1986). “Average Run Length of CUSUM Charts for Controlling Normal means”. Journal of Quality Technology, Vol.18:189-193. [Google Scholar] [Crossref]
9. Muhammad Riaz, Nasir, Abbas and and Ronald, J.M.M. Does, (2011). “Improving the performance of CUSUM charts”, Quality and Reliability Engineering International, Vol.27:415-424. [Google Scholar] [Crossref]
10. Page, E.S.,(1954) “Continuous Inspection Schemes”, Biometrika, Vol. XLI, pp. 104-114. [Google Scholar] [Crossref]
11. Vardeman, S. And Di-ou Ray. (1985). “Average Run Lenghts for CUSUM schemes where observations are Exponentially Distributed”, Technometrics, vol. 27 (No.2): 145-150. [Google Scholar] [Crossref]
12. Narayana Muthy, B. R, Akhtar, P. Md and Venkataramudu, B.(2012) “Optimization of CASP-CUSUM Schemes based on Truncated Log-Logistic Distribution”. Bulletin of Pure and applied Sciences, Vol-31E (Math&Stat.): Issue (No.2) pp243-255. [Google Scholar] [Crossref]
13. B.Sainath, Akhtar, P. Md and,G.Venkatesulu. and Narayana Murthy.B.R(2015) “Optimization of CASP-CUSUM Schemes Based on truncated Burr distribution”, Bulletin of Pure and Applied Sciences, ISSN, 23203226, Volume 34 E (Math & Stat ) Issue (No.1-2) 2015:pp.47-60. [Google Scholar] [Crossref]
14. Sainath, Akhtar, P. Md and,G.Venkatesulu. and Narayana Murthy.B.R(2016) “ Optimization of CASP-CUSUM schemes Based on truncated dagum distribution”, Journal of Research in Applied Mathematics, Volume 2,isuue-10,pp:16-26. [Google Scholar] [Crossref]
Metrics
Views & Downloads
Similar Articles
- Students' Perception Towards Artificial Intelligence in Higher Education in India
- Strategic Leadership and Cybersecurity Readiness in Digitally Transforming Organisations
- Spatial Distribution of Tourism Infrastructure in Awka, Onitsha and Nnewi Urban Areas of Anambra State.
- Emerging Technologies, Education and Skill Development for A Sustainable Blue Economy in Nigeria.
- Quantum Dot–Based Solar Cells: Advancements, Challenges, and Future Prospects