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New ranked set sampling schemes for range charts limits under bivariate skewed distributions

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Abstract

In this paper, instead of using traditional sampling schemes, we newly introduce to use ranked set, neoteric ranked set and median ranked set sampling to construct range charts control limits under the bivariate skewed distributions. Shewhart, weighted variance and skewness correction methods are considered to construct the range charts in the statistical process control. We have compared the performance of the suggested range charts under simple random and different ranked set sampling schemes by simulation study. The simulation study has showed that range charts based on skewness correction method are the most efficient under neoteric and median ranked set sampling schemes, especially in highly skewed data.

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Correspondence to Derya Karagöz.

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Derya Karagöz declares that she has no conflict of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by V. Loia.

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Karagöz, D., Koyuncu, N. New ranked set sampling schemes for range charts limits under bivariate skewed distributions. Soft Comput 23, 1573–1587 (2019). https://doi.org/10.1007/s00500-017-2880-4

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