scholarly journals Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Srinivasa Rao Gadde ◽  
Arnold K. Fulment ◽  
Josephat K. Peter
Keyword(s):  
Weibull Distribution ◽  
Operating Characteristic ◽  
Characteristic Curve ◽  
Sampling Plan ◽  
Exponentiated Weibull Distribution ◽  
Exponentiated Weibull ◽  
Single Sampling Plan ◽  
Truncated Life Test ◽  
Dependent State

The proposed sampling plan in this article is referred to as multiple dependent state (MDS) sampling plans, for rejecting a lot based on properties of the current and preceding lot sampled. The median life of the product for the proposed sampling plan is assured based on a time-truncated life test, when a lifetime of the product follows exponentiated Weibull distribution (EWD). For the proposed plan, optimal parameters such as the number of preceding lots required for deciding whether to accept or reject the current lot, sample size, and rejection and acceptance numbers are obtained by the approach of two points on the operating characteristic curve (OC curve). Tables are constructed for various combinations of consumer and producer’s risks for various shape parameters. The proposed MDS sampling plan for EWD is demonstrated using the coronavirus (COVID-19) outbreak in China. The performance of the proposed sampling plan is compared with the existing single-sampling plan (SSP) when the quality of the product follows EWD.

SkSP-V Sampling Plan for the Exponentiated Weibull Distribution

2014 ◽  
Vol 42 (3) ◽  
pp. 20130051 ◽  
Author(s):  
Muhammad Aslam ◽  
G. Srinivasa Rao ◽  
Nasrullah Khan ◽  
Chi-Hyuck Jun
Keyword(s):  
Weibull Distribution ◽  
Sampling Plan ◽  
Exponentiated Weibull Distribution ◽  
Exponentiated Weibull

scholarly journals Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Muhammad Aslam ◽  
P. Jeyadurga ◽  
S. Balamurali ◽  
Muhammad Azam ◽  
Ali AL-Marshadi
Keyword(s):  
Operating Characteristic ◽  
Characteristic Curve ◽  
Sampling Plan ◽  
Lifetime Distributions ◽  
Sample Number ◽  
Operating Characteristic Function ◽  
Mean Lifetime ◽  
The Comparative Study ◽  
Dependent State

In this paper, the modification of multiple dependent state sampling plan is proposed and designed for assuring a mean lifetime of the products under Birnbaum–Saunders distribution and Weibull distribution. The optimal parameters of the proposed plan are determined based on two points on the operating characteristic curve approach. Different combinations of producer’s risk and consumer’s risk are considered for plan parameters determination. The efficacy of the proposed plan is compared with those of other existing sampling plans using an average sample number and operating characteristic function. The economic designing of the proposed plan is also considered and the comparative study is done based on the total cost of the inspection.

On the Exponentiated Weibull Distribution

2003 ◽  
Vol 32 (7) ◽  
pp. 1317-1336 ◽  
Author(s):  
Manal M. Nassar ◽  
Fathy H. Eissa
Keyword(s):  
Weibull Distribution ◽  
Exponentiated Weibull Distribution ◽  
Exponentiated Weibull
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