EnvironmetricsPub Date : 2024-01-02DOI: 10.1002/env.2839
Isabelle Grenier, Bruno Sansó, Jessica L. Matthews
{"title":"Multivariate nearest-neighbors Gaussian processes with random covariance matrices","authors":"Isabelle Grenier, Bruno Sansó, Jessica L. Matthews","doi":"10.1002/env.2839","DOIUrl":"10.1002/env.2839","url":null,"abstract":"<p>We propose a non-stationary spatial model based on a normal-inverse-Wishart framework, conditioning on a set of nearest-neighbors. The model, called nearest-neighbor Gaussian process with random covariance matrices is developed for both univariate and multivariate spatial settings and allows for fully flexible covariance structures that impose no stationarity or isotropic restrictions. In addition, the model can handle duplicate observations and missing data. We consider an approach based on integrating out the spatial random effects that allows fast inference for the model parameters. We also consider a full hierarchical approach that leverages the sparse structures induced by the model to perform fast Monte Carlo computations. Strong computational efficiency is achieved by leveraging the adaptive localized structure of the model that allows for a high level of parallelization. We illustrate the performance of the model with univariate and bivariate simulations, as well as with observations from two stationary satellites consisting of albedo measurements.</p>","PeriodicalId":50512,"journal":{"name":"Environmetrics","volume":"35 3","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139374292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EnvironmetricsPub Date : 2023-12-25DOI: 10.1002/env.2838
Hidekazu Yoshioka, Yumi Yoshioka
{"title":"Statistical evaluation of a long-memory process using the generalized entropic value-at-risk","authors":"Hidekazu Yoshioka, Yumi Yoshioka","doi":"10.1002/env.2838","DOIUrl":"10.1002/env.2838","url":null,"abstract":"<p>The modeling and identification of time series data with a long memory are important in various fields. The streamflow discharge is one such example that can be reasonably described as an aggregated stochastic process of randomized affine processes where the probability measure, we call it reversion measure, for the randomization is not directly observable. Accurate identification of the reversion measure is critical because of its omnipresence in the aggregated stochastic process. However, the modeling accuracy is commonly limited by the available real-world data. We resolve this issue by proposing the novel upper and lower bounds of a statistic of interest subject to ambiguity of the reversion measure. Here, we use the Tsallis value-at-risk (TsVaR) as a convex risk functional to generalize the widely used entropic value-at-risk (EVaR) as a sharp statistical indicator. We demonstrate that the EVaR cannot be used for evaluating key statistics, such as mean and variance, of the streamflow discharge due to the blowup of some exponential integrand. We theoretically show that the TsVaR can avoid this issue because it requires only the existence of some polynomial moment, not exponential moment. As a demonstration, we apply the semi-implicit gradient descent method to calculate the TsVaR and corresponding Radon–Nikodym derivative for time series data of actual streamflow discharges in mountainous river environments.</p>","PeriodicalId":50512,"journal":{"name":"Environmetrics","volume":"35 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EnvironmetricsPub Date : 2023-12-14DOI: 10.1002/env.2836
Wilson Gyasi, Kahadawala Cooray
{"title":"New generalized extreme value distribution with applications to extreme temperature data","authors":"Wilson Gyasi, Kahadawala Cooray","doi":"10.1002/env.2836","DOIUrl":"10.1002/env.2836","url":null,"abstract":"<p>A new generalization of the extreme value distribution is presented with its density function, having a wide variety of density and tail shapes for modeling extreme value data. This generalized extreme value distribution will be referred to as the odd generalized extreme value distribution. It is derived by considering the distributions of the odds of the generalized extreme value distribution. Consequently, the new distribution is enlightened by not only having all six families of extreme value distributions; Gumbel, Fréchet, Weibull, reverse-Gumbel, reverse-Fréchet, and reverse-Weibull as submodels but also convenient for modeling bimodal extreme value data that are frequently found in environmental sciences. Basic properties of the distribution, including tail behavior and tail heaviness, are studied. Also, quantile-based aliases of the new distribution are illustrated using Galton's skewness and Moor's kurtosis plane. The adequacy of the new distribution is illustrated using well-known goodness-of-fit measures. A simulation is performed to validate the estimated risk measures due to repeated data points frequently found in temperature data. The Grand Rapids and well-known Wooster temperature data sets are analyzed and compared to nine different extreme value distributions to illustrate the new distribution's bimodality, flexibility, and overall fitness.</p>","PeriodicalId":50512,"journal":{"name":"Environmetrics","volume":"35 3","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138628052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EnvironmetricsPub Date : 2023-12-12DOI: 10.1002/env.2835
Ross McKitrick
{"title":"Total least squares bias in climate fingerprinting regressions with heterogeneous noise variances and correlated explanatory variables","authors":"Ross McKitrick","doi":"10.1002/env.2835","DOIUrl":"10.1002/env.2835","url":null,"abstract":"<p>Regression-based “fingerprinting” methods in climate science employ total least squares (TLS) or orthogonal regression to remedy attenuation bias arising from measurement error due to reliance on climate model-generated explanatory variables. Proving the consistency of multivariate TLS requires assuming noise variances are equal across all variables in the model. This assumption has been challenged empirically in the climate context but little is known about TLS biases when the assumption is violated. Monte Carlo analysis is used herein to examine coefficient biases when the noise variances are not equal. The analysis allows the explanatory variables to be negatively correlated which is typical in climate applications. Ordinary least squares (OLS) exhibits the expected attenuation bias which vanishes as the noise variances on the explanatory variables disappear. In some cases, TLS corrects attenuation bias but more typically imparts large and generally positive biases. OLS performs well when the true value of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>β</mi>\u0000 <mo>=</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 <annotation>$$ beta =0 $$</annotation>\u0000 </semantics></math> whereas TLS performs quite poorly. This implies that TLS is not well suited for tests of the null. When <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>β</mi>\u0000 <mo>=</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <annotation>$$ beta =1 $$</annotation>\u0000 </semantics></math> TLS tends to exhibit opposite biases to OLS. Diagnostic information specific to each data sample should be consulted before using TLS to avoid spurious inferences and replacing OLS attenuation bias with other, potentially larger biases.</p>","PeriodicalId":50512,"journal":{"name":"Environmetrics","volume":"35 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/env.2835","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138631025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EnvironmetricsPub Date : 2023-12-03DOI: 10.1002/env.2834
Stan Tendijck, Philip Jonathan, David Randell, Jonathan Tawn
{"title":"Temporal evolution of the extreme excursions of multivariate \u0000 \u0000 \u0000 k\u0000 \u0000 $$ k $$\u0000 th order Markov processes with application to oceanographic data","authors":"Stan Tendijck, Philip Jonathan, David Randell, Jonathan Tawn","doi":"10.1002/env.2834","DOIUrl":"10.1002/env.2834","url":null,"abstract":"<p>We develop two models for the temporal evolution of extreme events of multivariate <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 </mrow>\u0000 <annotation>$$ k $$</annotation>\u0000 </semantics></math>th order Markov processes. The foundation of our methodology lies in the conditional extremes model of Heffernan and Tawn (<i>Journal of the Royal Statistical Society: Series B (Methodology)</i>, 2014, 66, 497–546), and it naturally extends the work of Winter and Tawn (<i>Journal of the Royal Statistical Society: Series C (Applied Statistics)</i>, 2016, 65, 345–365; <i>Extremes</i>, 2017, 20, 393–415) and Tendijck et al. (<i>Environmetrics</i> 2019, 30, e2541) to include multivariate random variables. We use cross-validation-type techniques to develop a model order selection procedure, and we test our models on two-dimensional meteorological-oceanographic data with directional covariates for a location in the northern North Sea. We conclude that the newly-developed models perform better than the widely used historical matching methodology for these data.</p>","PeriodicalId":50512,"journal":{"name":"Environmetrics","volume":"35 3","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/env.2834","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138539060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}