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In this work, nonparametric statistical inference is provided for the continuous-time M/G/1 queueing model from a Bayesian point of view. The inference is based on observations of the inter-arrival and service times. Beside other…

统计理论 · 数学 2017-03-22 Cornelia Wichelhaus , Moritz von Rohrscheidt

Bayesian multinomial logistic-normal (MLN) models are popular for the analysis of sequence count data (e.g., microbiome or gene expression data) due to their ability to model multivariate count data with complex covariance structure.…

This paper studies the heavy-traffic joint distribution of queue lengths in two stochastic processing networks (SPN), viz., an input-queued switch operating under the MaxWeight scheduling policy and a two-server parallel server system…

概率论 · 数学 2023-09-19 Prakirt Raj Jhunjhunwala , Siva Theja Maguluri

In the present work we study Bayesian nonparametric inference for the continuous-time M/G/1 queueing system. In the focus of the study is the unobservable service time distribution. We assume that the only available data of the system are…

统计理论 · 数学 2017-09-22 Cornelia Wichelhaus , Moritz von Rohrscheidt

In this paper, we discuss a method to define prior distributions for the threshold of a generalised Pareto distribution, in particular when its applications are directed to heavy-tailed data. We propose to assign prior probabilities to the…

统计方法学 · 统计学 2016-04-06 Cristiano Villa

In this article, we propose joint location, scale and skewness models of the skew Laplace normal (SLN) distribution as an alternative model for joint modelling location, scale and skewness models of the skew-t-normal (STN) distribution when…

统计理论 · 数学 2018-03-15 Fatma Zehra Doğru , Olcay Arslan

We propose a generalized double Pareto prior for Bayesian shrinkage estimation and inferences in linear models. The prior can be obtained via a scale mixture of Laplace or normal distributions, forming a bridge between the Laplace and…

统计方法学 · 统计学 2015-03-19 Artin Armagan , David Dunson , Jaeyong Lee

An insurance company is required to prepare a certain amount of money, called reserve, as a mean to pay its policy holders claims in the future. There are several types of reserve, one of them is IBNR reserve, for which the payments are…

统计方法学 · 统计学 2024-02-28 Rizky Reza Fauzi , Jerremy Joelnathan Stevanlim

Accurate estimation of queuing delays is crucial for designing and optimizing communication networks, particularly in the context of Deterministic Networking (DetNet) scenarios. This study investigates the approximation of Internet queuing…

网络与互联网体系结构 · 计算机科学 2024-06-25 Nataliia Koneva , Alfonso Sánchez-Macián , José Alberto Hernández , Farhad Arpanaei , Óscar González de Dios

Dynamic queueing networks (DQN) model queueing systems where demand varies strongly with time, such as airport terminals. With rapidly rising global air passenger traffic placing increasing pressure on airport terminals, efficient…

统计方法学 · 统计学 2019-03-25 Anthony Ebert , Ritabrata Dutta , Kerrie Mengersen , Antonietta Mira , Fabrizio Ruggeri , Paul Wu

Estimation of origin-destination (OD) demand plays a key role in successful transportation studies. In this paper, we consider the estimation of time-varying day-to-day OD flows given data on traffic volumes in a transportation network for…

In using the Bayesian network (BN) to construct the complex multistate system's reliability model as described in Part I, the memory storage requirements of the node probability table (NPT) will exceed the random access memory (RAM) of the…

机器学习 · 计算机科学 2022-04-05 Xiaohu Zheng , Wen Yao , Xiaoqian Chen

Bayesian Neural Networks (BNNs) provide a tool to estimate the uncertainty of a neural network by considering a distribution over weights and sampling different models for each input. In this paper, we propose a method for uncertainty…

机器学习 · 计算机科学 2024-10-28 Illia Oleksiienko , Dat Thanh Tran , Alexandros Iosifidis

Using an asymmetric Laplace distribution, which provides a mechanism for Bayesian inference of quantile regression models, we develop a fully Bayesian approach to fitting single-index models in conditional quantile regression. In this work,…

统计计算 · 统计学 2015-03-19 Yuao Hua , Robert B. Gramacy , Heng Lian

Probabilistic load forecasting (PLF) is a key component in the extended tool-chain required for efficient management of smart energy grids. Neural networks are widely considered to achieve improved prediction performances, supporting highly…

信号处理 · 电气工程与系统科学 2021-01-12 Alessandro Brusaferri , Matteo Matteucci , Stefano Spinelli , Andrea Vitali

Robots rely on motion planning to navigate safely and efficiently while performing various tasks. In this paper, we investigate motion planning through Bayesian inference, where motion plans are inferred based on planning objectives and…

机器人学 · 计算机科学 2025-06-02 Ali Vaziri , Iman Askari , Huazhen Fang

The Bayesian paradigm has the potential to solve core issues of deep neural networks such as poor calibration and data inefficiency. Alas, scaling Bayesian inference to large weight spaces often requires restrictive approximations. In this…

Deep-learning-based data-driven forecasting methods have produced impressive results for traffic forecasting. A major limitation of these methods, however, is that they provide forecasts without estimates of uncertainty, which are critical…

机器学习 · 计算机科学 2022-04-07 Tanwi Mallick , Prasanna Balaprakash , Jane Macfarlane

Stress and material deformation field predictions are among the most important tasks in computational mechanics. These predictions are typically made by solving the governing equations of continuum mechanics using finite element analysis,…

机器学习 · 统计学 2024-06-24 George D. Pasparakis , Lori Graham-Brady , Michael D. Shields

This paper addresses the analysis of the queue-length process of single-server queues under overdispersion, i.e., queues fed by an arrival process for which the variance of the number of arrivals in a given time window exceeds the…

概率论 · 数学 2020-04-21 Onno Boxma , Mariska Heemskerk , Michel Mandjes
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