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In this paper, we propose a new class of bivariate distributions, called the bivariate discrete inverse Weibull (BDsIW) distribution, whose marginals are discrete inverse Weibull (DsIW) distributions. Some statistical and mathematical…

统计理论 · 数学 2018-08-24 M. S. Eliwa , M. El-Morshedy

In this paper, a Bayesian accelerated life testing model is presented. The Weibull distribution is used as the life distribution and the generalised Eyring model as the time transformation function. This is a model that allows for the use…

统计方法学 · 统计学 2021-11-30 Neill Smit , Lizanne Raubenheimer

To go beyond standard first-order asymptotics for Cox regression, we develop parametric bootstrap and second-order methods. In general, computation of $P$-values beyond first order requires more model specification than is required for the…

统计理论 · 数学 2015-04-14 Donald A. Pierce , Ruggero Bellio

The traditional variable control charts, such as the X-bar chart, are widely used to monitor variation in a process. They have been shown to perform well for monitoring processes under the general assumptions that the observations are…

统计方法学 · 统计学 2022-12-22 Chanseok Park , Linhan Ouyang , Min Wang

In this paper, we introduce a new class of distributions which is obtained by compounding the extended Weibull and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998) and…

统计方法学 · 统计学 2012-04-06 Rodrigo B. Silva , Marcelo B. Pereira , Cícero R. B. Dias , Gauss M. Cordeiro

We propose analytical models for the interference power distribution in a cellular system employing MIMO beamforming in rich and limited scattering environments, which capture non line-of-sight signal propagation in the microwave and mmWave…

信息论 · 计算机科学 2017-06-02 Hussain Elkotby , Mai Vu

Simultaneously monitoring changes in both the mean and variance is a fundamental problem in Statistical Process Control, and numerous methods have been developed to address it. However, many existing approaches face notable limitations:…

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

Nonparametric or distribution-free charts can be useful in statistical process control problems when there is limited or lack of knowledge about the underlying process distribution. In this paper, a phase II Shewhart-type chart is…

统计方法学 · 统计学 2008-12-18 Subhabrata Chakraborti , Mark A. van de Wiel

The need to monitor industrial processes, detecting changes in process parameters in order to promptly correct problems that may arise, generates a particular area of interest. This is particularly critical and complex when the measured…

应用统计 · 统计学 2019-05-07 Javier Neira Rueda , Andres Carrion Garcia

It is known that quantum correlations exhibited by a maximally entangled qubit pair can be simulated with the help of shared randomness, supplemented with additional resources, such as communication, post-selection or non-local boxes. For…

量子物理 · 物理学 2009-11-11 Julien Degorre , Sophie Laplante , Jérémie Roland

The inactivity time, or lost lifespan specifically for mortality data, concerns time from occurrence of an event of interest to the current time point and has recently emerged as a new summary measure for cumulative information inherent in…

统计方法学 · 统计学 2020-04-14 Lauren C. Balmert , Ruosha Li , Limin Peng , Jong-Hyeon Jeong

Flexibility in shape and scale of Burr XII distribution can make close approximation of numerous well-known probability density functions. Due to these capabilities, the usages of Burr XII distribution are applied in risk analysis, lifetime…

应用统计 · 统计学 2019-01-29 Saviz Saei , Mohsen Mohammadi , Mahsa Fekriseri , Kouroush Jenab

The paper addresses the problem of estimation of the model parameters of the logistic exponential distribution based on progressive type-I hybrid censored sample. The maximum likelihood estimates are obtained and computed numerically using…

应用统计 · 统计学 2023-02-13 Subhankar Dutta , Suchandan Kayal

In this paper, the use of the Generalized Beta Mixture (GBM) and Horseshoe distributions as priors in the Bayesian Compressive Sensing framework is proposed. The distributions are considered in a two-layer hierarchical model, making the…

信息论 · 计算机科学 2014-11-11 Zahra Sabetsarvestani , Hamidreza Amindavar

The mathematical properties of a family of generalized beta distribution, including beta-normal, skewed-t, log-F, beta-exponential, beta-Weibull distributions have recently been studied in several publications. This paper applies these…

统计方法学 · 统计学 2007-10-26 J. H. Sepanski , Lingji Kong

This paper examines methods of inference concerning quantile treatment effects (QTEs) in randomized experiments with matched-pairs designs (MPDs). Standard multiplier bootstrap inference fails to capture the negative dependence of…

计量经济学 · 经济学 2021-05-14 Liang Jiang , Xiaobin Liu , Peter C. B. Phillips , Yichong Zhang

We apply the Weibull distribution -- a two-parameter family from extreme-value theory -- as a diagnostic framework for element-wise weight magnitude distributions in transformers. At initialization, i.i.d. Gaussian weights give |w| ~…

机器学习 · 计算机科学 2026-05-20 Tiexin Ding

How to include censored data in a statistical analysis is a recur-rent issue in statistics. In multivariate extremes, the dependence structure of large observations can be characterized in terms of a non parametric angular measure, while…

统计方法学 · 统计学 2014-12-03 Anne Sabourin

Many multivariate statistical analysis methods and their corresponding probabilistic counterparts have been adopted to develop process monitoring models in recent decades. However, the insightful connections between them have rarely been…

系统与控制 · 电气工程与系统科学 2022-06-28 Wanke Yu , Min Wu , Biao Huang , Chengda Lu

Responsibly deploying artificial intelligence (AI) / machine learning (ML) systems in high-stakes settings arguably requires not only proof of system reliability, but also continual, post-deployment monitoring to quickly detect and address…

机器学习 · 计算机科学 2025-08-26 Drew Prinster , Xing Han , Anqi Liu , Suchi Saria
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