On the Asymptotic Confidence Intervals of Multiple-Stream Yield Index

Wang, Dja-Shin; Chou, Chao‐Yu; Lin, Yih-Chuan

doi:10.1080/03610926.2011.581780

Cited by 3 publications

(13 citation statements)

References 4 publications

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“…Engineers are often interested in constructing the confidence interval of the process yield index. Wang et al presented the sampling distribution of

{\overset{true^}{S}}_{p k}^{M}

based on the probability distribution of

{\overset{true^}{P}}^{M}

. Through the Central Limit Theorem, if the sample size for each stream is sufficiently large, we can obtain

{\overset{true^}{P}}^{M} \overset{n \geq 30}{\to} N ((),, μ_{P}, σ_{P}^{2})

, where

μ_{P} = \frac{1}{v} true {true\sum}_{l = 1}^{v} {\overset{true^}{P}}_{l}

and

σ_{P}^{2} = \frac{1}{n v} true {true\sum}_{l = 1}^{v} {\overset{true^}{P}}_{l} true(1 - {\overset{true^}{P}}_{l} true)

.…”

Section: Process Yieldmentioning

confidence: 77%

“…In Section 3, we propose a general procedure to obtain the process yield for MSPs. In Section 4, a simulation study is conducted to compare the performance of the proposed method with the existing method . In Section 5, two real examples are used to demonstrate the application of the proposed approach.…”

Section: Introductionmentioning

confidence: 87%

“…The simulation program was written using R . The results of all simulated scenarios presented in Table indicate that the proposed method provides smaller interval length as compared with the existing method . In addition, the simulation results showed that the existing method underestimates the LCB for

S_{p k}^{M}

.…”

Section: Simulation Studymentioning

confidence: 99%

“…However, this approach cannot guarantee that the estimated variance of

S_{p k}^{M}

is a positive value. Wang et al presented the sampling distribution of

{\overset{true^}{S}}_{p k}^{M}

based on the probability distribution of

{\overset{true^}{P}}^{M}

, which is the average process yield for all streams. Unfortunately, the upper interval limit of P M in some cases is larger than 1.…”

Section: Introductionmentioning

confidence: 99%

“…The use of the existing methods for this type of data is unrealistic. In addition, if the MSPs data are based on subsamples, the existing method is not applicable. We present a general procedure to evaluate the process yield for MSPs and provide the confidence interval of the process yield.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Process Yield for Multiple Stream Processes with Individual Observations and Subsamples

Wang

2015

Qual. Reliab. Engng. Int.

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A multiple stream process consists of several identical process streams. We present the process yield index SpkM for multiple stream processes with individual observations. An approximate distribution of the estimator of SpkM is derived. A simulation study is conducted to evaluate the performance of the confidence interval using the proposed method and the existing method. The simulation results show that the proposed method outperforms the existing method regarding interval length. We extend this process yield index for the case of subsamples. An approximate distribution for the estimator of Spk,sM is also derived. Two real examples are used to demonstrate the performance of the proposed approach. Copyright © 2015 John Wiley & Sons, Ltd.

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“…Engineers are often interested in constructing the confidence interval of the process yield index. Wang et al presented the sampling distribution of