A mixed double sampling plan based on <i>C<sub>pk</sub></i>

Balamurali, S.; Aslam, Muhammad; Ahmad, Liaquat

doi:10.1080/03610926.2019.1565836

Cited by 19 publications

(29 citation statements)

References 29 publications

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“…In addition, Prajapati and his colleagues claimed that the construction of the Bayes decision function (as in [8], which is based on the posterior expectation) is quite difficult, when the loss function is a polynomial with a higher degree or if it is not a polynomial. Balamurali et al [6] provided a mixed double sampling plan based on process capability index. The case of acceptance sampling plan under nonparametric distribution has been investigate by [3].…”

Section: Introductionmentioning

confidence: 99%

Two-sided sampling plan for exponential distribution under type II censored samples

Benahmed

Belbachir²

2022

Hacettepe Journal of Mathematics and Statistics

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Acceptance sampling plan paid the attention of many researchers in the last few years, their works focused basically on Bayesian sampling plans under one-sided decision function and different forms of censoring. In the present paper, a single variable sampling plan for exponential distribution based on type II censored samples under random decision function is developed. For a polynomial loss function, an explicit expression for the Bayes risk is determined. To obtain an approximation for the optimal sampling plan, a simple algorithm based on a discretization method is presented. Finally, an illustrative example and a simulation study followed by extensive tables for the proposed sampling plan are provided.

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Section: Introductionmentioning

confidence: 99%

Two-sided sampling plan for exponential distribution under type II censored samples

Benahmed

Belbachir²

2022

Hacettepe Journal of Mathematics and Statistics

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“…PCIs have strong practical significance for precision manufacturing industry or industry with strict process precision control. 27,28 Among them, the applied studies on PCIs include data sampling, [29][30][31][32][33] data specification and fault tolerance interval, 34 data distribution, 35 measurement error analysis, 36 process parameter estimation, 37 outlier detection, 38 and measurement and potential performance evaluation of process health status. 18 Moreover, based on univariate PCIs, a series of multivariate process capability indices (MPCIs) was developed to evaluate the process stability with multivariate and convert the MPCIs into a univariate index or vector.…”

Section: Introductionmentioning

confidence: 99%

Dynamic reliability analysis approach based on fault tree and new process capability index

Liu

2021

Quality & Reliability Eng

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This paper proposes a dynamic reliability analysis approach based on fault tree (FT) and new process capability index (PCI). This work has three contributions. First, new PCIs, namely, C p-R , C pk-R , C pm-R , and C pmk-R , are proposed on the basis of traditional PCI prototypes, and the data stability analysis results converge to (0∼1] interval. These new PCI advantages and defects are compared, and the result shows that C pmk-R can identify the stability of the dynamic data effectively. Second, fault risk index (FRI) based on C pmk-R index, namely, R pmk-R , is proposed to approximate the probability of basic events (BEs) for FT. Third, FRI and FT are used to analyze fault transmission and assess dynamic fault risk of equipment.A circulating cooling water heat exchange system is used for simulation to verify the practicability of the approach. Results show that the FT based on R pmk-R can assess the dynamic fault risk of equipment accurately.

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“…(12) suggested "an estimator for estimating population means using a double sampling scheme using two auxiliary variables". Similarly (13,14) , and (15) proposed different estimators for estimating population mean in two-phase sampling. Recently, (16) proposed combination of exponential and ln functions under two-phase sampling using two auxiliary variables for estimating population mean.…”

Section: Introductionmentioning

confidence: 99%

An Improved Class of Mixed Estimators of Population Mean under Double Sampling

Dash¹,

Sunani²

2021

IJST

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Objectives: To estimate the finite populations mean using two auxiliary variables in double sampling as well as the efficiency of the proposed class of estimators. Methods: The mixing of estimators became more popular in developing more efficient estimators for estimating finite population parameters but while mixing two or more estimators, we should consider the basic purpose and the conditions under which the individual estimators are developed and are efficient. This paper deals with a class of mixed estimators of population mean by mixing ratio estimator and dual to product estimator in two phase sampling scheme using SRSWOR scheme to select the sample units at both the cases, i.e. Case-I: When − X is unknown but − Z is known and Case-II: When both − X and − Z are unknown. The purpose of mixing these two estimators is that both these estimators are designed to be used effectively for population mean when the population correlation coefficient between the study variable and the auxiliary variable is highly positive. Results: We observe that the proposed class of estimators is more efficient than the existing estimators which are available in literature and the empirical study indicates that the proposed class of estimators t 01 and t 02 performs better than the other existing estimators of t ′

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A mixed double sampling plan based on C_pk

Cited by 19 publications

References 29 publications

Two-sided sampling plan for exponential distribution under type II censored samples

Two-sided sampling plan for exponential distribution under type II censored samples

Dynamic reliability analysis approach based on fault tree and new process capability index

An Improved Class of Mixed Estimators of Population Mean under Double Sampling

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A mixed double sampling plan based on Cpk

Cited by 19 publications

References 29 publications

Two-sided sampling plan for exponential distribution under type II censored samples

Two-sided sampling plan for exponential distribution under type II censored samples

Dynamic reliability analysis approach based on fault tree and new process capability index

An Improved Class of Mixed Estimators of Population Mean under Double Sampling

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A mixed double sampling plan based on C_pk