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The aim of the present work is to investigate the performances of a specific Bayesian control chart used to compare two processes. The chart monitors the ratio of the percentiles of a key characteristic associated with the processes. The…

统计计算 · 统计学 2015-07-07 Pasquale Erto

This paper develops a Bayesian control chart for the percentiles of the Weibull distribution, when both its in-control and out-of-control parameters are unknown. The Bayesian approach enhances parameter estimates for small sample sizes that…

统计方法学 · 统计学 2013-08-06 Pasquale Erto , Giuliana Pallotta , Christina M. Mastrangelo

Early detection of changes in the frequency of events is an important task, in, for example, disease surveillance, monitoring of high-quality processes, reliability monitoring and public health. In this article, we focus on detecting…

应用统计 · 统计学 2021-07-27 Inez Maria Zwetsloot , Tahir Mahmood , Funmilola Mary Taiwo , Zezhong Wang

This note introduces a new Bayesian control chart to compare two processes by monitoring the ratio of their percentiles under Weibull assumption. Both in-control and out-of-control parameters are supposed unknown. The chart analyses the…

应用统计 · 统计学 2015-07-01 Pasquale Erto

Weibull distribution has received a wide range of applications in engineering and science. The utility and usefulness of an estimator is highly subject to the field of practitioner's study. In practice users looking for their desired…

统计计算 · 统计学 2019-02-18 Sahar Sadani , Kamel Abdollahnezhad , Mahdi Teimouri , Vahid Ranjbar

Monitoring time-between-events (TBE) data, where the goal is to track the time between consecutive events, has important applications across various fields. Many existing schemes for monitoring multivariate TBE data suffer from inherent…

统计方法学 · 统计学 2025-09-03 Gokul Parakulum , Jun Li

Monitoring time between events (TBE) is a critical task in industrial settings. Traditional Statistical Process Monitoring (SPM) methods often assume that TBE variables follow an exponential distribution, which implies a constant failure…

统计方法学 · 统计学 2025-01-22 Hussam Ahmad , Adel Ahmadi Nadi , Mohammad Amini , Subhabrata Chakraborti

Modeling is a challenging topic and using parametric models is an important stage to reach flexible function for modeling. Weibull distribution has two parameters which are shape $\alpha$ and scale $\beta$. In this study, bimodality…

统计方法学 · 统计学 2020-12-03 Roberto Vila , Mehmet Niyazi Çankaya

In this work, we study the performance of two-sided EWMA charts for monitoring double bounded processes using individual observations. Specifically, the term double bounded refers to observations in the interval (0, 1) and thus, these…

应用统计 · 统计学 2022-06-17 Argyro Lafatzi , Athanasios Rakitzis

The Weibull distribution is a very applicable model for the lifetime data. In this paper, we have investigated inference on the parameters of Weibull distribution based on record values. We first propose a simple and exact test and a…

统计理论 · 数学 2015-01-12 Ali Akbar Jafari , Hojatollah Zakerzadeh

In this article, bootstrap and Shewhart type process control monitoring schemes are proposed for the quantiles of generalized Weibull distribution under hybrid censoring. Monitoring schemes for the quantiles of Weibull, generalized…

统计方法学 · 统计学 2023-09-22 Amarjit Kundu , Shovan Chowdhury , Bidhan Modok

In statistical process control, procedures are applied that require relatively strict conditions for their use. If such assumptions are violated, these methods become inefficient, leading to increased incidence of false signals. Therefore,…

其他统计学 · 统计学 2019-01-15 Gejza Dohnal

Wind speed statistics is generally modeled using the Weibull distribution. This distribution is convenient since it fully characterizes analytically with only two parameters (the shape and scale parameters) the shape of distribution and the…

大气与海洋物理 · 物理学 2012-11-19 Philippe Drobinski , Corentin Coulais

Weibull distribution is widely used in modelling health data. However, its lack of sufficient tail flexibility often results in poor fit in extreme events. We proposed another three-parameter extension of the Weibull distribution with…

统计方法学 · 统计学 2026-04-07 Isqeel Ogunsola , Nurudeen Ajadi , Gboyega Adepoju

During the recent years there was an increased interest in studying the performance of different types of control charts, under various distributional models for continuous proportions, such as percentages and rates. In this work we…

统计方法学 · 统计学 2025-02-05 Athanasios C. Rakitzis

In engineering systems, it is usually assumed that lifetimes of components are independent and identically distributed (iid). But, the failure of a component results in a higher load on the remaining components and hence causes the…

统计理论 · 数学 2019-12-18 M. Doostparast , M. Hashempour , E. Velayati Moghaddam 1

In reliability and life data analysis, the Weibull distribution is widely used to accommodate more data characteristics by changing the values of the parameters. We frequently observe many zeros or close to zero data points in reliability…

统计方法学 · 统计学 2022-06-06 Sumangal Bhattacharya , Ishapathik Das , Muralidharan Kunnummal

A statistical model for describing the scaling of the distribution of inter-event times is described. By considering the diverse region seismicity (natural and induced) at different scale levels the self-similarity of the distribution has…

其他凝聚态物理 · 物理学 2009-11-11 V. German

A scope in quality control, which has recently received a great deal of attention is profile that characterizes the quality of a product or process by a relationship between two or more variables. In this paper, we propose an EWMA chart for…

应用统计 · 统计学 2019-11-12 Seyed Nasser Moosavi , Mohammad Saleh Owlia , Ashkan Khalifeh

We review methods for monitoring multivariate time-between-events (TBE) data. We present some underlying complexities that have been overlooked in the literature. It is helpful to classify multivariate TBE monitoring applications into two…

应用统计 · 统计学 2019-11-06 Inez Maria Zwetsloot , Tahir Mahmood , William H. Woodall
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