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The Sustainable Development Goals (SDGs) of the United Nations consist of 17 general objectives, subdivided into 169 targets to be achieved by 2030. Several SDG indices and indicators require continuous analysis and evaluation, and most of…

统计方法学 · 统计学 2025-08-26 João Inácio Scrimini , Cleber Bisognin , Renata Rojas Guerra , Fábio M. Bayer

Over the years, the most popularly used control chart for statistical process control has been Shewhart's $\bar{X}-S$ or $\bar{X}-R$ chart along with its multivariate generalizations. But, such control charts suffer from the lack of…

统计计算 · 统计学 2012-11-20 Kushal Kr. Dey , Kumaresh Dhara , Bikram Karmakar , Sukalyan Sengupta

We develop flexible multi-parameter regression survival models for interval censored survival data arising in longitudinal prospective studies and longitudinal randomised controlled clinical trials. A multi-parameter Weibull regression…

统计方法学 · 统计学 2019-01-29 Defen Peng , Gilbert MacKenzie , Kevin Burke

Recently, Lee and Cha (2015, `On two generalized classes of discrete bivariate distributions', {\it American Statistician}, 221 - 230) proposed two general classes of discrete bivariate distributions. They have discussed some general…

统计方法学 · 统计学 2018-05-01 Debasis Kundu , Vahid Nekoukhou

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

统计方法学 · 统计学 2025-09-04 J. T. Korley

This paper introduces a new three-parameters model called the Weibull-G exponential distribution (WGED) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including quantile, moments,…

统计理论 · 数学 2016-06-24 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

We propose to integrate weapon system features (such as weapon system manufacturer, deployment time and location, storage time and location, etc.) into a parameterized Cox-Weibull [1] reliability model via a neural network, like DeepSurv…

应用统计 · 统计学 2023-04-17 Michael Potter , Benny Cheng

Shewhart Control Charts (SCC)s are constructed under the assumption of normality and are widely recognized in statistical quality control by numerous researchers. Problems arise when the distribution of process data does not conform to a…

应用统计 · 统计学 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang

Quite often, we observe reliability data with two failure modes that may influence each other, resulting in a setting of dependent failure modes. Here, we discuss modelling of censored reliability data with two dependent failure modes by…

统计方法学 · 统计学 2024-06-07 Aakash Agrawal , Debanjan Mitra , Ayon Ganguly

We analyze nonparametric estimators for the distribution function of the incubation time in the singly and doubly interval censoring model. The classical approach is to use parametric families like Weibull, log-normal or gamma distributions…

统计理论 · 数学 2024-01-02 Piet Groeneboom

In this paper, we introduce a generalized model for count data based upon an assumed Weibull interarrival process that nests the Poisson and negative binomial models as special cases. In addition, we demonstrate that this new Weibull count…

统计方法学 · 统计学 2021-07-21 Moshe Adrian , Eric Bradlow , Peter Fader , Blake McShane

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

Based on independent progressively Type-II censored samples from two-parameter Rayleigh distributions with the same location parameter but different scale parameters, the UMVUE and maximum likelihood estimator of $R=P(Y<X)$ are obtained.…

应用统计 · 统计学 2017-09-05 Akram Kohansal , Saeid Rezakhah

This paper considers doing quantile regression on censored data using neural networks (NNs). This adds to the survival analysis toolkit by allowing direct prediction of the target variable, along with a distribution-free characterisation of…

机器学习 · 统计学 2023-02-07 Tim Pearce , Jong-Hyeon Jeong , Yichen Jia , Jun Zhu

A generalization of the generalized inverse Weibull distribution so-called transmuted generalized inverse Weibull dis- tribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a…

统计方法学 · 统计学 2013-09-16 Faton Merovci , Ibrahim Elbatal , Alaa Ahmed

This paper proposes a control chart for monitoring percentiles of a process that follows a truncated beta distribution, utilizing a studentized parametric bootstrap method to account for the case when in-control parameters are unknown. To…

统计方法学 · 统计学 2025-08-01 Bidhan Modok , Amarjit Kundu , Shovan Chowdhury

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

Monitoring the ratio of two normal random variables plays an important role in several manufacturing environments. For short production runs, however, the control charts assumed infinite processes cannot function effectively to detect…

应用统计 · 统计学 2020-10-06 K. D. Tran , Q. U. A Khaliq , A. A. Nadi , H Tran , K. P. Tran

This paper deals with phase II, univariate, statistical process control when a set of in-control data is available, and when both the in-control and out-of-control distributions of the process are unknown. Existing process control…

应用统计 · 统计学 2009-06-09 Snigdhansu Chatterjee , Peihua Qiu

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