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In various applications with large spatial regions, the relationship between the response variable and the covariates is expected to exhibit complex spatial patterns. We propose a spatially clustered varying coefficient model, where the…

统计方法学 · 统计学 2020-07-21 Fangzheng Lin , Yanlin Tang , Huichen Zhu , Zhongyi Zhu

Fixing the relationship of a set of experimental quantities is a fundamental issue in many scientific disciplines. In the 2D case, the classical approach is to compute the linear correlation coefficient from a scatterplot. This method,…

统计方法学 · 统计学 2020-10-21 Roberto Vio , Thomas W. Nagler , Paola Andreani

Satellite images have become increasingly valuable for modelling regional climate change effects. Earth surface forecasting represents one such task that integrates satellite images with meteorological data to capture the joint evolution of…

机器学习 · 计算机科学 2024-08-13 Tushar Verma , Sudipan Saha

Linear quantile regression is a powerful tool to investigate how predictors may affect a response heterogeneously across different quantile levels. Unfortunately, existing approaches find it extremely difficult to adjust for any dependency…

统计方法学 · 统计学 2019-10-30 Xu Chen , Surya T. Tokdar

Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world…

应用统计 · 统计学 2018-04-30 Nazih Benoumechiara , Bertrand Michel , Philippe Saint-Pierre , Nicolas Bousquet

Spatial clustering has been widely used for spatial data mining and knowledge discovery. An ideal multivariate spatial clustering should consider both spatial contiguity and aspatial attributes. Existing spatial clustering approaches may…

机器学习 · 计算机科学 2022-04-01 Yuhao Kang , Kunlin Wu , Song Gao , Ignavier Ng , Jinmeng Rao , Shan Ye , Fan Zhang , Teng Fei

This paper proposes multivariate copula models for hierarchical data. They account for two types of correlation: one is between variables measured on the same unit and the other is a correlation between units in the same cluster. This model…

统计方法学 · 统计学 2023-04-24 Talagbe Gabin Akpo , Louis-Paul Rivest

We propose a new centered autologistic spatio-temporal model for binary data on a lattice. The centering allows the interpretation of the autoregression coefficients in separating the large scale structure of the model corresponding to an…

应用统计 · 统计学 2018-11-19 Anne Gégout-Petit , Lucia Guérin-Dubrana , Shuxian Li

Temporal, spatial or spatio-temporal probabilistic models are frequently used for weather forecasting. The D-vine (drawable vine) copula quantile regression (DVQR) is a powerful tool for this application field, as it can automatically…

统计方法学 · 统计学 2023-09-12 David Jobst , Annette Möller , Jürgen Groß

We introduce the Locally Linear Latent Variable Model (LL-LVM), a probabilistic model for non-linear manifold discovery that describes a joint distribution over observations, their manifold coordinates and locally linear maps conditioned on…

机器学习 · 统计学 2015-12-02 Mijung Park , Wittawat Jitkrittum , Ahmad Qamar , Zoltan Szabo , Lars Buesing , Maneesh Sahani

Spatial association measures for univariate static spatial data are widely used. When the data is in the form of a collection of spatial vectors with the same temporal domain of interest, we construct a measure of similarity between the…

统计方法学 · 统计学 2023-09-26 Divya Kappara , Arup Bose , Madhuchhanda Bhattacharjee

A novel approach for dynamic modeling and forecasting of realized covariance matrices is proposed. Realized variances and realized correlation matrices are jointly estimated. The one-to-one relationship between a positive definite…

统计方法学 · 统计学 2019-02-18 Nicole Barthel , Claudia Czado , Yarema Okhrin

In this paper, we concentrate on new methodologies for copulas introduced and developed by Joe, Cooke, Bedford, Kurowica, Daneshkhah and others on the new class of graphical models called vines as a way of constructing higher dimensional…

统计计算 · 统计学 2012-10-30 Alireza Daneshkhah , Golamali Parham , Omid Chatrabgoun , M. Jokar

Vine copulas are a flexible way for modeling dependences using only pair-copulas as building blocks. However if the number of variables grows the problem gets fast intractable. For dealing with this problem Brechmann at al. proposed the…

统计方法学 · 统计学 2016-07-05 Edith Kovács , Tamás Szántai

Standard geostatistical models assume stationarity and rely on a variogram model to account for the spatial dependence in the observed data. In some instances, this assumption that the spatial dependence structure is constant throughout the…

统计方法学 · 统计学 2022-12-16 Dave Higdon , Jenise Swall , John Kern

With the advancement of GPS and remote sensing technologies, large amounts of geospatial and spatiotemporal data are being collected from various domains, driving the need for effective and efficient prediction methods. Given spatial data…

机器学习 · 计算机科学 2020-12-25 Zhe Jiang

In the absence of Gaussianity assumptions without disturbing spatial continuity interpolating along the whole spatial surface for different time lags is challenging. The past researchers pay enough attention to Spatio-temporal interpolation…

应用统计 · 统计学 2022-11-28 Debjoy Thakur , Ishapathik Das

Rigby & Stasinopoulos (2005) introduced generalized additive models for location, scale and shape (GAMLSS) where the response distribution is not restricted to belong to the exponential family and its parameters can be specified as…

统计方法学 · 统计学 2016-05-25 Giampiero Marra , Rosalba Radice

The last decade has seen max-stable processes emerge as a common tool for the statistical modeling of spatial extremes. However, their application is complicated due to the unavailability of the multivariate density function, and so…

统计方法学 · 统计学 2009-02-23 Simone A. Padoan , Mathieu Ribatet , Scott A. Sisson

In this work we present full Bayesian inference for a new flexible nonseparable class of cross-covariance functions for multivariate spatial data. A Bayesian test is proposed for separability of covariance functions which is much more…

统计方法学 · 统计学 2017-07-24 Rafael S. Erbisti , Thais C. O. Fonseca , Mariane B. Alves