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In this work the issue of Bayesian inference for stationary data is addressed. Therefor a parametrization of a statistically suitable subspace of the the shift-ergodic probability measures on a Cartesian product of some finite state space…

统计理论 · 数学 2017-10-24 Fritz Moritz von Rohrscheidt

The appropriateness of the Poisson model is frequently challenged when examining spatial count data marked by unbalanced distributions, over-dispersion, or under-dispersion. Moreover, traditional parametric models may inadequately capture…

统计方法学 · 统计学 2025-03-26 Mahsa Nadifar , Andriette Bekker , Mohammad Arashi , Abel Ramoelo

This paper presents a new method for spatially adaptive local (constant) likelihood estimation which applies to a broad class of nonparametric models, including the Gaussian, Poisson and binary response models. The main idea of the method…

统计理论 · 数学 2007-12-18 Denis Belomestny , Vladimir Spokoiny

Assessing the spatial fairness of predictive models involves establishing whether they are statistically penalizing (favoring) individuals associated with certain geographical locations. Literature on this topic makes the fundamental…

机器学习 · 计算机科学 2026-05-25 Francesco Lettich , Mario A. Nascimento , Chiara Pugliese , Chiara Renso

To facilitate effective decision-making, precipitation datasets should include uncertainty estimates. Quantile regression with machine learning has been proposed for issuing such estimates. Distributional regression offers distinct…

机器学习 · 计算机科学 2025-01-07 Georgia Papacharalampous , Hristos Tyralis , Nikolaos Doulamis , Anastasios Doulamis

The evolution of global income distribution from 1988 to 2018 is analyzed using purchasing power parity exchange rates and well-established statistical distributions. This research proposes the use of two separate distributions to more…

综合经济学 · 经济学 2025-12-16 J. D. A. Islas-García , M. del Castillo-Mussot , Marcelo B. Ribeiro

Analysing non-Gaussian spatial-temporal data requires introducing spatial as well as temporal dependence in generalised linear models through the link function of an exponential family distribution. Unlike in Gaussian likelihoods, inference…

统计方法学 · 统计学 2025-12-29 Soumyakanti Pan , Lu Zhang , Jonathan R. Bradley , Sudipto Banerjee

Random effects model can account for the lack of fitting a regression model and increase precision of estimating area-level means. However, in case that the synthetic mean provides accurate estimates, the prior distribution may inflate an…

统计方法学 · 统计学 2016-12-05 Shonosuke Sugasawa , Tatsuya Kubokawa , Kota Ogasawara

While measuring socioeconomic indicators is critical for local governments to make informed policy decisions, such measurements are often unavailable at fine-grained levels like municipality. This study employs deep learning-based…

计算机与社会 · 计算机科学 2023-09-06 Donghyun Ahn , Minhyuk Song , Seungeon Lee , Yubin Choi , Jihee Kim , Sangyoon Park , Hyunjoo Yang , Meeyoung Cha

We propose a multivariate, distribution-free ranking framework for comparing clustered, correlated outcomes across groups, motivated by the evaluation of state-level policy environments using county-level socioeconomic data. Using pooled…

应用统计 · 统计学 2026-04-02 Dhrubajyoti Ghosh

Global data association is an essential prerequisite for robot operation in environments seen at different times or by different robots. Repetitive or symmetric data creates significant challenges for existing methods, which typically rely…

机器人学 · 计算机科学 2025-09-22 Yixuan Jia , Mason B. Peterson , Qingyuan Li , Yulun Tian , Jonathan P. How

We consider the problem of parametric statistical inference when likelihood computations are prohibitively expensive but sampling from the model is possible. Several so-called likelihood-free methods have been developed to perform inference…

机器学习 · 统计学 2020-09-14 Owen Thomas , Ritabrata Dutta , Jukka Corander , Samuel Kaski , Michael U. Gutmann

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

The proliferation of mobile devices has led to the collection of large amounts of population data. This situation has prompted the need to utilize this rich, multidimensional data in practical applications. In response to this trend, we…

应用统计 · 统计学 2024-07-18 Tomoya Wakayama , Shonosuke Sugasawa

In this paper, the problem of state estimation, in the context of both filtering and smoothing, for nonlinear state-space models is considered. Due to the nonlinear nature of the models, the state estimation problem is generally intractable…

机器学习 · 统计学 2021-11-24 Jarrad Courts , Adrian Wills , Thomas B. Schön

Spatial trend estimation under potential heterogeneity is an important problem to extract spatial characteristics and hazards such as criminal activity. By focusing on quantiles, which provide substantial information on distributions…

统计方法学 · 统计学 2023-10-24 Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

Most existing generative models are limited to learning a single probability distribution from the training data and cannot generalize to novel distributions for unseen data. An architecture that can generate samples from both trained…

机器学习 · 计算机科学 2024-10-16 Xinyu Liao , Aoyang Qin , Jacob Seidman , Junqi Wang , Wei Wang , Paris Perdikaris

We study the problem of distributed adaptive estimation over networks where nodes cooperate to estimate physical parameters that can vary over both space and time domains. We use a set of basis functions to characterize the space-varying…

系统与控制 · 计算机科学 2015-07-22 Reza Abdolee , Benoit Champagne , Ali H. Sayed

Univariate normal regression models are statistical tools widely applied in many areas of economics. Nevertheless, income data have asymmetric behavior and are best modeled by non-normal distributions. The modeling of income plays an…

统计方法学 · 统计学 2022-07-15 Helton Saulo , Roberto Vila , Giovanna V. Borges , Marcelo Bourguignon

The rapid growth of online network platforms generates large-scale network data and it poses great challenges for statistical analysis using the spatial autoregression (SAR) model. In this work, we develop a novel distributed estimation and…

统计计算 · 统计学 2023-11-29 Yimeng Ren , Zhe Li , Xuening Zhu , Yuan Gao , Hansheng Wang
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