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Related papers: Stein EWMA Control Charts for Count Processes

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Pragmatic trials increasingly define outcomes using real-world data such as electronic health records, where assessments are collected during routine care rather than at fixed timepoints. Consequently, these uncontrolled assessments may be…

From the distributional characterizations that lie at the heart of Stein's method we derive explicit formulae for the mass functions of discrete probability laws that identify those distributions. These identities are applied to develop…

Methodology · Statistics 2022-02-16 Steffen Betsch , Bruno Ebner , Franz Nestmann

In this paper, the panel count data analysis for recurrent events is considered. Such analysis is useful for studying tumor or infection recurrences in both clinical trial and observational studies. A bivariate Gaussian Cox process model is…

Applications · Statistics 2019-02-19 Ye Liang , Yang Li , Bin Zhang

In a variety of application areas, there is a growing interest in analyzing high dimensional sparse count data, with sparsity exhibited by an over-abundance of zeros and small non-zero counts. Existing approaches for analyzing multivariate…

Methodology · Statistics 2016-04-15 Jyotishka Datta , David B. Dunson

In many industrial manufacturing processes, the quality of products depends on the relation between two main ingredients or characteristics. Often, this calls for monitoring the ratio of two normal random variables with statistical process…

Applications · Statistics 2021-08-12 H. D. Nguyen , A. Ahmadi Nadi , K. P. Tran , P. Castagliola , G. Celano , K. D. Tran

In this paper, we address the problem of estimating a covariance matrix of a multivariate Gaussian distribution, relative to a Stein loss function, from a decision theoretic point of view. We investigate the case where the covariance matrix…

Statistics Theory · Mathematics 2021-03-23 Anis M. Haddouche , Wei Lu

Count endpoints are common in clinical trials, particularly for recurrent events such as hypoglycemia. When interest centers on comparing overall event rates between treatment groups, negative binomial (NB) regression is widely used because…

Methodology · Statistics 2026-01-27 Jiren Sun , Linda Amoafo , Yongming Qu

Monitoring for changes in a predictive relationship represented by a fitted supervised learning model (i.e., concept drift detection) is a widespread problem in modern data-driven applications. A general and powerful Fisher score-based…

Methodology · Statistics 2026-03-24 Jiezhong Wu , Daniel W. Apley

The Exponentially Weighted Average (EWA) of observations is known to be state-of-art estimator for tracking expectations of dynamically varying data stream distributions. However, how to devise an EWA estimator to rather track quantiles of…

Methodology · Statistics 2019-01-16 Hugo Lewi Hammer , Anis Yazidi , Håvard Rue

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…

Applications · Statistics 2020-10-06 K. D. Tran , Q. U. A Khaliq , A. A. Nadi , H Tran , K. P. Tran

There are numerous applications which involve modeling multi-dimensional count data, notably in actuarial science and risk management. When such data exhibit an excess of zeros, common count models are no longer suitable. With multivariate…

Methodology · Statistics 2025-09-30 Golshid Aflaki , Juliana Schulz , Jean-François Plante

In many applications, a control procedure is required to detect potential deviations in a panel of serially correlated processes. It is common that the processes are corrupted by noise and that no prior information about the in-control data…

Count data appears in various disciplines. In this work, a new method to analyze time series count data has been proposed. The method assumes exponentially decaying covariance structure, a special class of the Mat\'ern covariance function,…

Methodology · Statistics 2021-02-19 Soudeep Deb

Count data with zero inflation and large outliers are ubiquitous in many scientific applications. However, posterior analysis under a standard statistical model, such as Poisson or negative binomial distribution, is sensitive to such…

Methodology · Statistics 2024-05-09 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

We study a controlled version of the Bayesian sequential testing problem for the drift of a Wiener process, in which the observer exercises discretion over the signal intensity. This control incurs a running cost that reflects the resource…

Optimization and Control · Mathematics 2025-09-24 Steven Campbell , Georgy Gaitsgori , Richard Groenewald

The problem of estimating a mean matrix of a multivariate complex normal distribution with an unknown covariance matrix is considered under an invariant loss function. By using complex versions of the Stein identity, the Stein-Haff…

Statistics Theory · Mathematics 2013-02-11 Yoshihiko Konno

The analysis of panel count data has garnered considerable attention in the literature, leading to the development of multiple statistical techniques. In inferential analysis, most works focus on leveraging estimating equation-based…

Methodology · Statistics 2025-10-08 Udita Goswami , Shuvashree Mondal

We propose Stein-type estimators for zero-inflated Bell regression models by incorporating information on model parameters. These estimators combine the advantages of unrestricted and restricted estimators. We derive the asymptotic…

Computation · Statistics 2024-03-04 Solmaz Seifollahi , Hossein Bevrani , Zakariya Yahya Algamal

We investigate the use of the Hurst exponent, dynamically computed over a moving time-window, to evaluate the level of stability/instability of financial firms. Financial firms bailed-out as a consequence of the 2007-2010 credit crisis show…

Statistical Finance · Quantitative Finance 2013-05-24 Raffaello Morales , T. Di Matteo , Ruggero Gramatica , Tomaso Aste

We derive explicit central moment inequalities for random variables that admit a Stein coupling, such as exchangeable pairs, size--bias couplings or local dependence, among others. The bounds are in terms of moments (not necessarily…

Probability · Mathematics 2020-07-07 A. D. Barbour , Nathan Ross , Yuting Wen