A selective overview of skew-elliptical and related distributions and of their applications

C Adcock, A Azzalini - Symmetry, 2020 - mdpi.com
Within the context of flexible parametric families of distributions, much work has been
dedicated in recent years to the theme of skew-symmetric distributions, or symmetry …

On designing a new control chart for Rayleigh distributed processes with an application to monitor glass fiber strength

MP Hossain, MH Omar, M Riaz… - … in Statistics-Simulation …, 2022 - Taylor & Francis
In this study, a Shewhart type control chart, namely VR chart, has been proposed to monitor
a process that follows Rayleigh distribution. The proposed VR chart is implemented to …

A new multivariate control chart for monitoring the quality of a process with the aid of auxiliary information

JY Chiang, TR Tsai, H Pham, K Yu - Journal of Statistical …, 2022 - Taylor & Francis
Control chart is a statistical process control tool to routinely monitor the quality of a process.
In the past decade, using auxiliary information to enhance the ability of control chart to detect …

Bootstrap tests for the location parameter under the skew-normal population with unknown scale parameter and skewness parameter

R Ye, B Fang, W Du, K Luo, Y Lu - Mathematics, 2022 - mdpi.com
In this paper, the inference on location parameter for the skew-normal population is
considered when the scale parameter and skewness parameter are unknown. Firstly, the …

Statistical Development of the VSQ‐Control Chart for Extreme Data with an Application to the Carbon Fiber Industry

F Shah, Z Khan, M Aslam… - Mathematical Problems in …, 2021 - Wiley Online Library
The normality assumption is a significant part of the development of control charts. This
underlying assumption of normality most likely does not hold true in real scenarios. One of …

Some monitoring procedures related to asymmetry parameter of Azzalini's skew-normal model

LI Chenglong, A Mukherjee, SU Qin… - REVSTAT Statistical …, 2019 - scholars.cityu.edu.hk
In the real world, we often observe that the underlying distribution of some Gaussian
processes tends to become skewed, when some undesirable assignable cause takes place …

Performance comparisons of distribution-free Shewhart-type Lepage and Cucconi schemes in monitoring complex process distributions

ZL Chong, S Huang, A Mukherjee… - Transactions of the …, 2020 - journals.sagepub.com
In recent years, researchers introduced several distribution-free schemes for simultaneously
monitoring the location and scale parameters of distribution in the literature related to …

Nonlinear profile monitoring using spline functions

H Xin, WJ Hsieh, Y Lio, TR Tsai - Mathematics, 2020 - mdpi.com
In this study, two new integrated control charts, named T 2-MAE chart and MS-MAE chart,
are introduced for monitoring the quality of a process when the mathematical form of …

An integrated approach for the optimization of tolerance design and quality cost

JY Chiang, TR Tsai, YL Lio, W Lu, D Shi - Computers & Industrial …, 2015 - Elsevier
Different normality-based optimization strategy (NBOS) methods have been developed and
used to perform quality improvement in the past few decays. Improving the quality of a …

Mean control chart based on ranked set schemes for unknown skewed probability distribution and parameters

M Riaz, R Mehmood, M Rehman, I Ali… - Concurrency and …, 2022 - Wiley Online Library
Several structures of mean control chart based on ranked set schemes are available in
literature. These structures involve assumptions, that is, process distribution is known and …