Ranked Set Sampling Designs for Monitoring The Skew-Normal Process

Abstract

In this study, we have proposed to use various ranked set sampling designs to

construct the mean charts based on Shewhart, Weighted Variance and Skewness

Correction methods that are applied to monitor the process variability under

the skew normal process. The performance of the mean charts based on var-

ious ranked set sampling designs are compared with simple random sampling

by Monte Carlo simulation. Simulation results revealed that the mean charts

based on various ranked set sampling perform much better than simple random

sampling.

Keywords

• Weighted variance method,Skew-normal distribution,Ranked set sampling designs,Skewness correction method

Çarpık-normal sürecin izlenmesi için sıralı küme örnekleme tasarımları

Abstract

Bu çalışmada, çarpık-normal süreç altında süreç değişkenliğini izlemek için uygulanan ortalama kartları oluşturmak için Shewhart, ağırlıklı varyans ve düzeltilmiş çarpıklık yöntemlerine dayanan çeşitli sıralı küme örnekleme tasarımlarını kullanmak önerilmiştir. Sıralı küme örnekleme tasarımlarına dayanan ortalama kartlarının performansı Monte Carlo benzetimi kullanılarak basit rastgele örnekleme ile karşılaştırılmıştır. Simülasyon sonuçları, çeşitli sıralı küme örneklemesine dayanan ortalama kartlarının basit rastgele örneklemeden çok daha iyi performans gösterdiğini ortaya koymuştur.

Keywords

• Ağırlıklı varyans yöntemi,Çarpık-normal dağılım,Sıralı küme örnekleme tasarımları

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