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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

In this paper, we address the fusion problem in wireless sensor networks, where the cross-correlation between the estimates is unknown. To solve the problem within the Bayesian framework, we assume that the covariance matrix has a prior…

信息论 · 计算机科学 2015-09-14 Zhiyuan Weng , Petar Djuric

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

This paper explores the extension of the classical two-parameter Weibull distribution to a four-parameter Harris extended Weibull (HEW) distribution. The flexibility of this probability distribution is illustrated by the varying shapes of…

统计方法学 · 统计学 2025-10-01 Prithul Chaturvedi , Himanshu Pokhriyal

The hybrid censoring is a mixture of Type I and Type II censoring schemes. This paper presents the statistical inferences of the Inverse Weibull distribution when the data are Type-I hybrid censored. First we consider the maximum likelihood…

其他统计学 · 统计学 2020-04-07 Mohammad Kazemi , Mina Azizpour

Computer models are widely used in science and engineering to simulate complex systems. However, these models are affected by several sources of uncertainty, which may limit their use for decision making in risk management. We present a…

统计计算 · 统计学 2026-03-17 Oumar Baldé , Guillaume Damblin , Amandine Marrel , Antoine Bouloré , Loïc Giraldi

In the present paper, the author discusses the derivation of unit distributions and the derivation of the generalized form using the order statistics. The author discusses the Kumaraswamy as the smallest order statistic of the unit power…

统计方法学 · 统计学 2025-09-17 Iman Mohamed Attia

Recently, combinations of generative and Bayesian machine learning have been introduced in particle physics for both fast detector simulation and inference tasks. These neural networks aim to quantify the uncertainty on the generated…

机器学习 · 计算机科学 2024-11-21 Sebastian Bieringer , Sascha Diefenbacher , Gregor Kasieczka , Mathias Trabs

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

机器学习 · 统计学 2014-02-21 Keisuke Yamazaki

This work proposes a wavelet shrinkage rule under asymmetric LINEX loss function and a mixture of a point mass function at zero and the logistic distribution as prior distribution to the wavelet coefficients in a nonparametric regression…

统计方法学 · 统计学 2023-07-27 Alex Rodrigo dos Santos Sousa

Discrete data are collected in many application areas and are often characterised by highly skewed and power-lawlike distributions. An example of this, which is considered in this paper, is the number of visits to a specialist, often taken…

统计方法学 · 统计学 2021-02-15 Hamed Haselimashhadi , Veronica Vinciotti , Keming Yu

This paper presents a new Bayesian framework for quantifying discretization errors in numerical solutions of ordinary differential equations. By modelling the errors as random variables, we impose a monotonicity constraint on the variances,…

数值分析 · 数学 2024-11-14 Yuto Miyatake , Kaoru Irie , Takeru Matsuda

This paper, which is Part 1 of a two-part paper series, considers a simulation-based inference with learned summary statistics, in which such a learned summary statistic serves as an empirical-likelihood with ameliorative effects in the…

机器学习 · 统计学 2026-02-02 Getachew K. Befekadu

When partitioning workflows in realistic scenarios, the knowledge of the processing units is often vague or unknown. A naive approach to addressing this issue is to perform many controlled experiments for different workloads, each…

分布式、并行与集群计算 · 计算机科学 2015-11-03 Freddy C. Chua , Bernardo A. Huberman

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 the present paper, Probability weighted moments (PWMs) method for parameter estimation of the median based unit weibull (MBUW) distribution is discussed. The most widely used first order PWMs is compared with the higher order PWMs for…

统计方法学 · 统计学 2025-11-20 Iman Mohammed Attia

Bayesian optimization is a class of global optimization techniques. In Bayesian optimization, the underlying objective function is modeled as a realization of a Gaussian process. Although the Gaussian process assumption implies a random…

统计理论 · 数学 2023-05-08 Rui Tuo , Wenjia Wang

Motivated by applications in Bayesian analysis we introduce a multidimensional beta distribution in an ordered simplex. We study properties of this distribution and connect them with the generalized incomplete beta function. This function…

统计方法学 · 统计学 2023-05-02 Mayad Al-Saidi , Alexey Kuznetsov , Mikhail Nediak

Distributed inference/estimation in Bayesian framework in the context of sensor networks has recently received much attention due to its broad applicability. The variational Bayesian (VB) algorithm is a technique for approximating…

机器学习 · 统计学 2020-11-30 Junhao Hua , Chunguang Li

We consider a Bayesian method for simultaneous quantile regression on a real variable. By monotone transformation, we can make both the response variable and the predictor variable take values in the unit interval. A representation of…

统计方法学 · 统计学 2018-11-08 Priyam Das , Subhashis Ghoshal