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Published in: BMC Medical Research Methodology 1/2021

Open Access 01-12-2021 | COVID-19 | Research

Inspection plan for COVID-19 patients for Weibull distribution using repetitive sampling under indeterminacy

Authors: G. Srinivasa Rao, Muhammad Aslam

Published in: BMC Medical Research Methodology | Issue 1/2021

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Abstract

Background

This research work is elaborated investigation of COVID-19 data for Weibull distribution under indeterminacy using time truncated repetitive sampling plan. The proposed design parameters like sample size, acceptance sample number and rejection sample number are obtained for known indeterminacy parameter.

Methods

The plan parameters and corresponding tables are developed for specified indeterminacy parametric values. The conclusion from the outcome of the proposed design is that when indeterminacy values increase the average sample number (ASN) reduces.

Results

The proposed repetitive sampling plan methodology application is given using COVID-19 data belong to Italy. The efficiency of the proposed sampling plan is compared with the existing sampling plans.

Conclusions

Using the tables and COVID-19 data illustration, it is concluded that the proposed plan required a smaller sample size as examined with the available sampling plans in the literature.
Literature
1.
go back to reference Mizumoto K, et al. Estimating the asymptomatic proportion of coronavirus disease 2019 (COVID-19) cases on board the Diamond Princess cruise ship, Yokohama, Japan, 2020. Euro Surveill. 2020;25(10):2000180.PubMedCentralCrossRef Mizumoto K, et al. Estimating the asymptomatic proportion of coronavirus disease 2019 (COVID-19) cases on board the Diamond Princess cruise ship, Yokohama, Japan, 2020. Euro Surveill. 2020;25(10):2000180.PubMedCentralCrossRef
3.
go back to reference Kantam RRL, Rosaiah K, Rao GS. Acceptance sampling based on life tests: log-logistic model. J Appl Stat. 2001;28(1):121–8.CrossRef Kantam RRL, Rosaiah K, Rao GS. Acceptance sampling based on life tests: log-logistic model. J Appl Stat. 2001;28(1):121–8.CrossRef
4.
go back to reference Tsai T-R, Wu S-J. Acceptance sampling based on truncated life tests for generalized Rayleigh distribution. J Appl Stat. 2006;33(6):595–600.CrossRef Tsai T-R, Wu S-J. Acceptance sampling based on truncated life tests for generalized Rayleigh distribution. J Appl Stat. 2006;33(6):595–600.CrossRef
5.
go back to reference Balakrishnan N, Leiva V, López J. Acceptance sampling plans from truncated life tests based on the generalized Birnbaum–Saunders distribution. Commun Stat Simul Comput. 2007;36(3):643–56.CrossRef Balakrishnan N, Leiva V, López J. Acceptance sampling plans from truncated life tests based on the generalized Birnbaum–Saunders distribution. Commun Stat Simul Comput. 2007;36(3):643–56.CrossRef
6.
go back to reference Lio YL, Tsai T-R, Wu S-J. Acceptance sampling plans from truncated life tests based on the Birnbaum–Saunders distribution for percentiles. Commun Stat Simul Comput. 2009;39(1):119–36.CrossRef Lio YL, Tsai T-R, Wu S-J. Acceptance sampling plans from truncated life tests based on the Birnbaum–Saunders distribution for percentiles. Commun Stat Simul Comput. 2009;39(1):119–36.CrossRef
7.
go back to reference Lio YL, Tsai T-R, Wu S-J. Acceptance sampling plans from truncated life tests based on the Burr type XII percentiles. J Chin Inst Ind Eng. 2010;27(4):270–80. Lio YL, Tsai T-R, Wu S-J. Acceptance sampling plans from truncated life tests based on the Burr type XII percentiles. J Chin Inst Ind Eng. 2010;27(4):270–80.
8.
go back to reference Al-Omari A, Al-Hadhrami S. Acceptance sampling plans based on truncated life tests for Extended Exponential distribution. Kuwait J Sci. 2018;45(2):30–41. Al-Omari A, Al-Hadhrami S. Acceptance sampling plans based on truncated life tests for Extended Exponential distribution. Kuwait J Sci. 2018;45(2):30–41.
9.
go back to reference Al-Omari AI. Time truncated acceptance sampling plans for generalized inverted exponential distribution. Electron J Appl Stat Anal. 2015;8(1):1–12. Al-Omari AI. Time truncated acceptance sampling plans for generalized inverted exponential distribution. Electron J Appl Stat Anal. 2015;8(1):1–12.
10.
go back to reference Yan A, Liu S, Dong X. Variables two stage sampling plans based on the coefficient of variation. J Adv Mech Des Syst Manuf. 2016;10(1):1–12.CrossRef Yan A, Liu S, Dong X. Variables two stage sampling plans based on the coefficient of variation. J Adv Mech Des Syst Manuf. 2016;10(1):1–12.CrossRef
11.
go back to reference Yen C-H, et al. A rectifying acceptance sampling plan based on the process capability index. Mathematics. 2020;8(1):141.CrossRef Yen C-H, et al. A rectifying acceptance sampling plan based on the process capability index. Mathematics. 2020;8(1):141.CrossRef
12.
go back to reference Aslam M, et al. Decision rule of repetitive acceptance sampling plans assuring percentile life. Sci Iran. 2012;19(3):879–84.CrossRef Aslam M, et al. Decision rule of repetitive acceptance sampling plans assuring percentile life. Sci Iran. 2012;19(3):879–84.CrossRef
13.
go back to reference Sherman RE. Design and evaluation of a repetitive group sampling plan. Technometrics. 1965;7(1):11–21.CrossRef Sherman RE. Design and evaluation of a repetitive group sampling plan. Technometrics. 1965;7(1):11–21.CrossRef
14.
go back to reference Aslam M, Lio YL, Jun C-H. Repetitive acceptance sampling plans for burr type XII percentiles. Int J Adv Manuf Technol. 2013;68(1):495–507.CrossRef Aslam M, Lio YL, Jun C-H. Repetitive acceptance sampling plans for burr type XII percentiles. Int J Adv Manuf Technol. 2013;68(1):495–507.CrossRef
15.
go back to reference Aslam M, Azam M, Jun C-H. Decision rule based on group sampling plan under the inverse Gaussian distribution. Seq Anal. 2013;32(1):71–82.CrossRef Aslam M, Azam M, Jun C-H. Decision rule based on group sampling plan under the inverse Gaussian distribution. Seq Anal. 2013;32(1):71–82.CrossRef
16.
go back to reference Singh N, Singh N, Kaur H. A repetitive acceptance sampling plan for generalized inverted exponential distribution based on truncated life test. Int J Sci Res Math Stat Sci. 2018;5(3):58–64. Singh N, Singh N, Kaur H. A repetitive acceptance sampling plan for generalized inverted exponential distribution based on truncated life test. Int J Sci Res Math Stat Sci. 2018;5(3):58–64.
17.
go back to reference Yan A, Liu S. Designing a repetitive group sampling plan for Weibull distributed processes. Math Probl Eng. 2016;2016:5862071.CrossRef Yan A, Liu S. Designing a repetitive group sampling plan for Weibull distributed processes. Math Probl Eng. 2016;2016:5862071.CrossRef
18.
go back to reference Aslam M, et al. Designing of a new monitoring t-chart using repetitive sampling. Inf Sci. 2014;269:210–6.CrossRef Aslam M, et al. Designing of a new monitoring t-chart using repetitive sampling. Inf Sci. 2014;269:210–6.CrossRef
19.
go back to reference Yen C-H, Chang C-H, Aslam M. Repetitive variable acceptance sampling plan for one-sided specification. J Stat Comput Simul. 2015;85(6):1102–16.CrossRef Yen C-H, Chang C-H, Aslam M. Repetitive variable acceptance sampling plan for one-sided specification. J Stat Comput Simul. 2015;85(6):1102–16.CrossRef
20.
go back to reference Smarandache F. Neutrosophy. Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, vol. 105. Ann Arbor: American Research Press; 1998. p. 118–23. Smarandache F. Neutrosophy. Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, vol. 105. Ann Arbor: American Research Press; 1998. p. 118–23.
21.
go back to reference Smarandache, F. and H.E. Khalid, Neutrosophic precalculus and neutrosophic calculus 2015: Infinite Study. Smarandache, F. and H.E. Khalid, Neutrosophic precalculus and neutrosophic calculus 2015: Infinite Study.
22.
go back to reference Peng X, Dai J. Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function. Neural Comput & Applic. 2018;29(10):939–54.CrossRef Peng X, Dai J. Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function. Neural Comput & Applic. 2018;29(10):939–54.CrossRef
23.
go back to reference Abdel-Basset M, et al. Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases. Artif Intell Med. 2019;101:101735.PubMedCrossRef Abdel-Basset M, et al. Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases. Artif Intell Med. 2019;101:101735.PubMedCrossRef
24.
go back to reference Nabeeh NA, et al. An integrated neutrosophic-topsis approach and its application to personnel selection: a new trend in brain processing and analysis. IEEE Access. 2019;7:29734–44.CrossRef Nabeeh NA, et al. An integrated neutrosophic-topsis approach and its application to personnel selection: a new trend in brain processing and analysis. IEEE Access. 2019;7:29734–44.CrossRef
25.
go back to reference Pratihar J, et al. Transportation problem in neutrosophic environment. In: Neutrosophic Graph Theory and Algorithms. Hershey: IGI Global; 2020. p. 180–212. Pratihar J, et al. Transportation problem in neutrosophic environment. In: Neutrosophic Graph Theory and Algorithms. Hershey: IGI Global; 2020. p. 180–212.
27.
go back to reference Smarandache, F., Introduction to neutrosophic statistics 2014: Infinite Study. Smarandache, F., Introduction to neutrosophic statistics 2014: Infinite Study.
28.
go back to reference Chen J, Ye J, Du S. Scale effect and anisotropy analyzed for neutrosophic numbers of rock joint roughness coefficient based on neutrosophic statistics. Symmetry. 2017;9(10):208.CrossRef Chen J, Ye J, Du S. Scale effect and anisotropy analyzed for neutrosophic numbers of rock joint roughness coefficient based on neutrosophic statistics. Symmetry. 2017;9(10):208.CrossRef
29.
go back to reference Chen J, et al. Expressions of rock joint roughness coefficient using neutrosophic interval statistical numbers. Symmetry. 2017;9(7):123.CrossRef Chen J, et al. Expressions of rock joint roughness coefficient using neutrosophic interval statistical numbers. Symmetry. 2017;9(7):123.CrossRef
30.
go back to reference Aslam M. A new failure-censored reliability test using neutrosophic statistical interval method. Int J Fuzzy Syst. 2019;21(4):1214–20.CrossRef Aslam M. A new failure-censored reliability test using neutrosophic statistical interval method. Int J Fuzzy Syst. 2019;21(4):1214–20.CrossRef
31.
go back to reference Aslam M. A new sampling plan using Neutrosophic process loss consideration. Symmetry. 2018;10(5):132.CrossRef Aslam M. A new sampling plan using Neutrosophic process loss consideration. Symmetry. 2018;10(5):132.CrossRef
32.
go back to reference Aslam M. Design of Sampling Plan for exponential distribution under Neutrosophic statistical interval method. IEEE Access. 2018;6:64153–8.CrossRef Aslam M. Design of Sampling Plan for exponential distribution under Neutrosophic statistical interval method. IEEE Access. 2018;6:64153–8.CrossRef
33.
go back to reference Aslam M. A new attribute sampling plan using neutrosophic statistical interval method. Complex Intell Syst. 2019;5(4):365–70. Aslam M. A new attribute sampling plan using neutrosophic statistical interval method. Complex Intell Syst. 2019;5(4):365–70.
34.
go back to reference Aslam M, et al. Time-truncated group plan under a Weibull distribution based on Neutrosophic statistics. Mathematics. 2019;7(10):905.CrossRef Aslam M, et al. Time-truncated group plan under a Weibull distribution based on Neutrosophic statistics. Mathematics. 2019;7(10):905.CrossRef
35.
go back to reference Alhasan, K.F.H. and F. Smarandache, Neutrosophic Weibull distribution and Neutrosophic Family Weibull Distribution 2019: Infinite Study. Alhasan, K.F.H. and F. Smarandache, Neutrosophic Weibull distribution and Neutrosophic Family Weibull Distribution 2019: Infinite Study.
36.
go back to reference Jamkhaneh EB, Sadeghpour-Gildeh B, Yari G. Important criteria of rectifying inspection for single sampling plan with fuzzy parameter. Int J Contemp Math Sci. 2009;4(36):1791–801. Jamkhaneh EB, Sadeghpour-Gildeh B, Yari G. Important criteria of rectifying inspection for single sampling plan with fuzzy parameter. Int J Contemp Math Sci. 2009;4(36):1791–801.
37.
go back to reference Jamkhaneh EB, Sadeghpour-Gildeh B, Yari G. Inspection error and its effects on single sampling plans with fuzzy parameters. Struct Multidiscip Optim. 2011;43(4):555–60.CrossRef Jamkhaneh EB, Sadeghpour-Gildeh B, Yari G. Inspection error and its effects on single sampling plans with fuzzy parameters. Struct Multidiscip Optim. 2011;43(4):555–60.CrossRef
38.
go back to reference Sadeghpour Gildeh B. E. Baloui Jamkhaneh, and G. Yari, acceptance single sampling plan with fuzzy parameter. Iran J Fuzzy Syst. 2011;8(2):47–55. Sadeghpour Gildeh B. E. Baloui Jamkhaneh, and G. Yari, acceptance single sampling plan with fuzzy parameter. Iran J Fuzzy Syst. 2011;8(2):47–55.
39.
go back to reference Afshari R, Sadeghpour Gildeh B. Designing a multiple deferred state attribute sampling plan in a fuzzy environment. Am J Math Manag Sci. 2017;36(4):328–45. Afshari R, Sadeghpour Gildeh B. Designing a multiple deferred state attribute sampling plan in a fuzzy environment. Am J Math Manag Sci. 2017;36(4):328–45.
40.
go back to reference Tong X, Wang Z. Fuzzy acceptance sampling plans for inspection of geospatial data with ambiguity in quality characteristics. Comput Geosci. 2012;48:256–66.CrossRef Tong X, Wang Z. Fuzzy acceptance sampling plans for inspection of geospatial data with ambiguity in quality characteristics. Comput Geosci. 2012;48:256–66.CrossRef
41.
go back to reference Uma G, Ramya K. Impact of fuzzy logic on acceptance sampling plans–a review. Automation Autonomous Syst. 2015;7(7):181–5. Uma G, Ramya K. Impact of fuzzy logic on acceptance sampling plans–a review. Automation Autonomous Syst. 2015;7(7):181–5.
43.
go back to reference Balamurali S, Jun C-H. Repetitive group sampling procedure for variables inspection. J Appl Stat. 2006;33(3):327–38.CrossRef Balamurali S, Jun C-H. Repetitive group sampling procedure for variables inspection. J Appl Stat. 2006;33(3):327–38.CrossRef
44.
go back to reference Aslam M, Yen C-H, Jun C-H. Variable repetitive group sampling plans with process loss consideration. J Stat Comput Simul. 2011;81(11):1417–32.CrossRef Aslam M, Yen C-H, Jun C-H. Variable repetitive group sampling plans with process loss consideration. J Stat Comput Simul. 2011;81(11):1417–32.CrossRef
45.
go back to reference Aslam M, et al. Developing a variables repetitive group sampling plan based on process capability index C pk with unknown mean and variance. J Stat Comput Simul. 2013;83(8):1507–17.CrossRef Aslam M, et al. Developing a variables repetitive group sampling plan based on process capability index C pk with unknown mean and variance. J Stat Comput Simul. 2013;83(8):1507–17.CrossRef
46.
go back to reference Hassan A-S, Almetwally E-M, Ibrahim G-M. Kumaraswamy Inverted Topp–Leone Distribution with Applications to COVID-19 Data. Comput Mater Continua. 2021;68(1):337–58.CrossRef Hassan A-S, Almetwally E-M, Ibrahim G-M. Kumaraswamy Inverted Topp–Leone Distribution with Applications to COVID-19 Data. Comput Mater Continua. 2021;68(1):337–58.CrossRef
47.
go back to reference Lemonte AJ. A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function. Comput Stat Data Anal. 2013;62:149–70.CrossRef Lemonte AJ. A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function. Comput Stat Data Anal. 2013;62:149–70.CrossRef
48.
go back to reference Cooray K. Generalization of the Weibull distribution: the odd Weibull family. Stat Model. 2006;6(3):265–77.CrossRef Cooray K. Generalization of the Weibull distribution: the odd Weibull family. Stat Model. 2006;6(3):265–77.CrossRef
49.
go back to reference Alhussain ZA, Ahmed EA. Estimation of exponentiated Nadarajah-Haghighi distribution under progressively type-II censored sample with application to bladder cancer data. Indian J Pure Appl Math. 2020;51(2):631–57.CrossRef Alhussain ZA, Ahmed EA. Estimation of exponentiated Nadarajah-Haghighi distribution under progressively type-II censored sample with application to bladder cancer data. Indian J Pure Appl Math. 2020;51(2):631–57.CrossRef
Metadata
Title
Inspection plan for COVID-19 patients for Weibull distribution using repetitive sampling under indeterminacy
Authors
G. Srinivasa Rao
Muhammad Aslam
Publication date
01-12-2021
Publisher
BioMed Central
Keyword
COVID-19
Published in
BMC Medical Research Methodology / Issue 1/2021
Electronic ISSN: 1471-2288
DOI
https://doi.org/10.1186/s12874-021-01387-7

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