{"title":"Distribution-valued data graphical model estimation based on M-LDQ feature embedding.","authors":"Qiying Wu, Huiwen Wang, Shan Lu","doi":"10.1080/02664763.2025.2567980","DOIUrl":"10.1080/02664763.2025.2567980","url":null,"abstract":"<p><p>Understanding and modeling distribution-valued data, an important form of symbolic data, has garnered significant attention in statistics because of its effectiveness in handling large datasets. Conventional statistical inference methods are not directly applicable to distribution-valued data, which has prompted extensive research efforts aimed at addressing this challenge. However, graphical models, which are powerful tools in applied statistics, have not yet been fully developed for distribution-valued data. To fill this gap, this study proposes a novel nonparametric graphical model estimation method for distribution-valued data. The proposed method first removes the inherent constraints of distributions, effectively capturing both position information (as a scalar) and shape information (as a function). We subsequently propose an aggregation method, which is based on the conditional independence test, to integrate the position information and shape information for graphical model estimation. Several numerical simulations have validated that our method outperforms other potential competing methods. Furthermore, we apply our method to construct the network of stocks that constitute the SSE 50 Index using daily distribution-valued data of five-minute returns. The empirical results reveal sector-specific relationships as well as cross-sector influences, highlighting the evolving interconnections between stocks from different sectors over time.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 8","pages":"1538-1561"},"PeriodicalIF":1.1,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13248500/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148217912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An integer-valued spatial autoregressive model with application to COVID-19 counts.","authors":"Kai Yang, Mingming Jia, Xiaogang Dong","doi":"10.1080/02664763.2025.2565593","DOIUrl":"10.1080/02664763.2025.2565593","url":null,"abstract":"<p><p>In order to effectively capture the spatial dependencies of integer-valued count data, this paper introduces an integer-valued spatial autoregressive model based on negative binomial thinning operator. The model properties are studied in detail, and the model parameters are estimated by means of conditional least squares, weighted conditional least squares, conditional maximum likelihood and Yule-Walker methods. Additionally, the asymptotic properties of these estimators are derived. Based on simulation studies, the proposed model is applied to the COVID-19 case data in Shandong province, China, as well as crime data related to public health act violations during the outbreak of the novel coronavirus in New South Wales, Australia. The model demonstrates excellent fitting and predictive abilities.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 8","pages":"1369-1401"},"PeriodicalIF":1.1,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13248511/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148217735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sparse long-only Markowitz portfolio optimization.","authors":"Tianci Qian","doi":"10.1080/02664763.2025.2565597","DOIUrl":"10.1080/02664763.2025.2565597","url":null,"abstract":"<p><p>This paper introduces a novel regularization framework for the Markowitz mean-variance portfolio optimization under long-only constraints. A sufficient condition that explains the sparsity of long-only optimal portfolios is derived, showing that assets with lower returns, higher volatilities, and greater co-volatilities are more likely to be excluded. Non-convex penalties, including SCAD, TLP, and MCP, are employed to enhance portfolio sparsity while preserving robust out-of-sample performance. An ADMM-type algorithm is developed for efficient portfolio weighting computation, and its effectiveness is demonstrated through both simulations and empirical studies using S&P 500 constituent stocks. The results highlight the ability of non-convex penalties to achieve sparser portfolios with superior Sharpe ratios, reduced turnover, and controlled risks compared to existing methods.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 8","pages":"1402-1426"},"PeriodicalIF":1.1,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13248506/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148217996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Adjusted profile likelihood inference for the scale parameter of the Gumbel distribution.","authors":"Ayman Baklizi","doi":"10.1080/02664763.2025.2565602","DOIUrl":"10.1080/02664763.2025.2565602","url":null,"abstract":"<p><p>We consider inference about the scale parameter of the Gumbel distribution. The maximum likelihood estimator of the scale parameter based on the profile likelihood is biased. This is because the profile likelihood function is not a genuine likelihood. To address this problem, adjustments of the profile likelihood function of the scale parameter were obtained with the purpose of obtaining improved estimators. The adjustments aim at approximating a conditional likelihood using the so called <math> <mrow><msup><mi>p</mi> <mo>∗</mo></msup> </mrow> </math> formula for the conditional distribution of the maximum likelihood estimator. The resulting point estimators are investigated and compared with the maximum likelihood estimator in terms of their biases and mean squared errors using simulation techniques. We derived confidence intervals based on the profile likelihood and its adjustments. The confidence intervals are investigated in terms of the attainment of lower, upper and total error rates in addition to their simulated expected lengths. Our investigations show that the adjustments improve the performance of point and interval estimators. The methods were applied to real data examples.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 8","pages":"1427-1441"},"PeriodicalIF":1.1,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13248489/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148217744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mena C R Whalen, Gregory J Matthews, Brian M Mills
{"title":"Empirical determination of baseball eras: multivariate change point analysis in major league baseball.","authors":"Mena C R Whalen, Gregory J Matthews, Brian M Mills","doi":"10.1080/02664763.2025.2552723","DOIUrl":"https://doi.org/10.1080/02664763.2025.2552723","url":null,"abstract":"<p><p>We use multivariate change point analysis methods to identify not only mean shifts but also changes in variance across a wide array of statistical time series. Our primary objective is to empirically discern distinct eras in the evolution of baseball, shedding light on significant transformations in team performance and management strategies. We employ baseball statistics from the late 1800s to 2021, spanning over a century of the sport's history. Results confirm previous historical research, pinpointing well-known baseball eras, such as the Dead Ball Era, Integration Era, Steroid Era, and Post-Steroid Era. Moreover, the study investigates changes in team performance, effectively identifying periods of both dynasties and collapses within a team's history. The multivariate change point analysis proves to be a valuable tool for understanding the dynamics of baseball's evolution. The method offers a data-driven approach to unveil structural shifts in the sport's historical landscape, providing fresh insights into the impact of rule changes, player strategies, and external factors on baseball's evolution. This not only enhances our comprehension of baseball, showing more robust identification of eras than past univariate time series work, but also showcases the broader applicability of multivariate change point analysis in the domain of sports research and beyond.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 6","pages":"1158-1179"},"PeriodicalIF":1.1,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13134745/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147815553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bayesian survival modeling with mixtures of inverse Gaussian frailties.","authors":"Gilbert Kiprotich, Shikhar Tyagi, Pedro L Ramos","doi":"10.1080/02664763.2025.2560510","DOIUrl":"10.1080/02664763.2025.2560510","url":null,"abstract":"<p><p>We introduce a Bayesian framework for survival analysis that integrates frailty and mixture modeling. In our approach, a mixture of two inverse Gaussian (MIG) distributions is used as the frailty variable for bivariate failure times. The parameterization of the mixture directly specifies the mixing weights, and the Laplace transform is obtained in closed form, which facilitates efficient computation. Flexible baseline distributions are modeled using the generalized Weibull and generalized log-logistic families. Parameter estimation is performed in a fully Bayesian setting using Markov chain Monte Carlo (MCMC) algorithms, allowing for uncertainty quantification. The proposed methodology is illustrated through an analysis of a kidney dataset, where the use of MIG frailties results in improved model fit and predictive performance relative to conventional approaches.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 7","pages":"1342-1368"},"PeriodicalIF":1.1,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13228184/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148156722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Assessing the performance of longitudinal T-lymphocytes as biomarkers of immune recovery in HIV-infected children with or without TB co-infection.","authors":"Musie Ghebremichael","doi":"10.1080/02664763.2025.2562307","DOIUrl":"10.1080/02664763.2025.2562307","url":null,"abstract":"<p><p>In this paper, the receiver operating characteristic (ROC) curve was used to investigate the performance of longitudinal CD4+ T cell counts as a biomarker of disease recovery in HIV-TB co-infected children from sub-Saharan Africa. According to the standard of care for monitoring pediatric HIV infection, routine assessment of immunologic/virologic markers is required. However, due to the lack of well-equipped laboratories and trained personnel, monitoring these markers as regularly as recommended is not feasible in sub-Saharan Africa. Thus, in the absence of routine laboratory monitoring, methods enabling the prediction of patient outcomes from existing CD4+ T-cell data provide a cost-effective alternative to routine monitoring in the region. Simulation studies were carried out to evaluate the performance of the TB-specific ROC model. We found that post-treatment longitudinal CD4+ T cell count had a 79% (95% CI: 0.72-0.86) probability of correctly distinguishing a recovered from non-recovered TB patient compared to a probability of 70% (95% CI: 0.59-0.82) in TB negative patients. Our findings demonstrate that longitudinal CD4+ T-cell counts are reliable indicators of pediatric immune recovery and provide a cost-effective alternative for predicting patient outcomes in the absence of routine laboratory monitoring, particularly HIV RNA determination.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 8","pages":"1562-1577"},"PeriodicalIF":1.1,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13248490/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148217772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M Remedios Sillero-Denamiel, J Miguel Marín, Pepa Ramírez-Cobo, Fabrizio Ruggeri, Michael P Wiper
{"title":"Bayesian semi-parametric approaches to normal/independent and elliptical distributions.","authors":"M Remedios Sillero-Denamiel, J Miguel Marín, Pepa Ramírez-Cobo, Fabrizio Ruggeri, Michael P Wiper","doi":"10.1080/02664763.2025.2552728","DOIUrl":"10.1080/02664763.2025.2552728","url":null,"abstract":"<p><p>This article introduces a novel, Bayesian, semi-parametric approach to inference for both elliptical and normal/independent distributions. The location and scale parameters are modelled parametrically and a suitable transformation of the modular variable is modelled using Dirichlet process mixtures. A feature of our approach is that the partial lack of identifiability inherent in both elliptical and normal/independent distributions can be accounted for by incorporating a restriction on the diagonal elements of the scale matrix. Posterior computation is carried out using a Markov chain Monte Carlo algorithm.A novel technique for model selection, based on an approximation of the deviation information criterion, is introduced. As shown by a numerical study based on simulation, the approach can be used to discriminate between elliptical, and normal/independent distributions. Finally, our methodology is illustrated with both simulated and real data.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 6","pages":"1130-1157"},"PeriodicalIF":1.1,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13134756/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147815541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A nonparametric clustering stopping rule based on spatial median.","authors":"Hend Gabr, Brian H Willis, Mohammed Baragilly","doi":"10.1080/02664763.2025.2557964","DOIUrl":"10.1080/02664763.2025.2557964","url":null,"abstract":"<p><p>In this work, we introduce a nonparametric clustering stopping rule algorithm based on the spatial median. Our proposed method aims to achieve a balance between the homogeneity within the clusters and the heterogeneity between clusters. The proposed algorithm maximises the ratio of the variation between clusters and the variation within clusters while adjusting for the number of clusters and number of observations. The proposed algorithm is robust against distributional assumptions and the presence of outliers. Simulations were used to validate the algorithm. We further evaluated the stability and the efficacy of the proposed algorithm using three real-world datasets. Moreover, we compared the performance of our model with 13 other traditional algorithms for determining the number of clusters. We found that the proposed algorithm outperformed 11 of the algorithms considered for comparison in terms of clustering number determination. The finding demonstrates that the proposed method provides a reliable alternative to determine the number of clusters for multivariate data. Highlights A nonparametric clustering stopping rule algorithm based on the spatial median.Considers balancing intra-cluster homogeneity and inter-cluster heterogeneity.Maximizes between-cluster to within-cluster variation.Accounts for the number of clusters and number of observations.Outperforms 11 out of 13 traditional algorithms in cluster analysis.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 7","pages":"1297-1315"},"PeriodicalIF":1.1,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13228190/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148156665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Bayesian spatially-clustered coefficient model with temporal structures for hepatitis A data in South Korea.","authors":"Jaeseon Lee, Jungsoon Choi","doi":"10.1080/02664763.2025.2555593","DOIUrl":"10.1080/02664763.2025.2555593","url":null,"abstract":"<p><p>Hepatitis A, a highly contagious and perilous viral liver infection, is globally widespread, with its data collected across spatial and temporal domains. Also, demographic and socioeconomic covariates, such as population density and per capita income, are gathered over space and time units. As a result, the association between infectious disease outcomes and risk factors may differ across space and time. Some sub-regions may have a heterogeneous association with others, while a homogeneous temporal structure may exist within certain sub-regions. Acknowledging the potential variability in these associations, this study focused on comprehending the spatio-temporal dynamics of hepatitis A through a statistical model. In this paper, we analyzed monthly hepatitis A infection counts in the Republic of Korea from January 2020 to December 2021 using a Bayesian spatio-temporal model. Specifically, we employed a Bayesian spatially-clustered coefficient model with temporal structures to estimate sub-regions with the temporally varying risk effects associated with hepatitis A. Our focus lies in utilizing the Bayesian spatio-temporal model to uncover insights into the spatio-temporally varying relationships between covariates and hepatitis A outcomes. Furthermore, we addressed the spatial confounding bias prevalent in common spatial models with space-time random components by incorporating two-stage framework within our analysis.</p>","PeriodicalId":15239,"journal":{"name":"Journal of Applied Statistics","volume":"53 7","pages":"1253-1273"},"PeriodicalIF":1.1,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13228189/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148156576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}