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A class of random graph models is considered, combining features of exponential-family models and latent structure models, with the goal of retaining the strengths of both of them while reducing the weaknesses of each of them. An open…

统计计算 · 统计学 2020-07-21 Sergii Babkin , Jonathan Stewart , Xiaochen Long , Michael Schweinberger

Empirical Bayes small area estimation based on the well-known Fay-Herriot model may produce unreliable estimates when outlying areas exist. Existing robust methods against outliers or model misspecification are generally inefficient when…

统计方法学 · 统计学 2022-06-28 Daisuke Kurisu , Takuya Ishihara , Shonosuke Sugasawa

Identifying and addressing poverty is challenging in administrative units with limited information on income distribution and well-being. To overcome this obstacle, small area estimation methods have been developed to provide reliable and…

统计方法学 · 统计学 2024-06-07 Nicolas Frink , Timo Schmid

The Housing and Land Survey (HLS) of Japan provides municipality-level grouped data on household incomes. Although these data can be used for effective local policymaking, their analyses are hindered by several challenges, such as limited…

应用统计 · 统计学 2025-07-02 Genya Kobayashi , Shonosuke Sugasawa , Yuki Kawakubo

Fine resolution estimates of demographic and socioeconomic attributes are crucial for planning and policy development. While several efforts have been made to produce fine-scale gridded population estimates, socioeconomic features are…

We propose a framework for computing, optimizing and integrating with respect to a smooth marginal likelihood in statistical models that involve high-dimensional parameters/latent variables and continuous low-dimensional hyperparameters.…

统计方法学 · 统计学 2026-02-10 Omiros Papaspiliopoulos , Timothée Stumpf-Fétizon , Jonathan Weare

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

统计理论 · 数学 2007-06-13 Peter D. Hoff

When multitudes of features can plausibly be associated with a response, both privacy considerations and model parsimony suggest grouping them to increase the predictive power of a regression model. Specifically, the identification of…

统计方法学 · 统计学 2024-05-07 Brandon Woosuk Park , Anand N. Vidyashankar , Tucker S. McElroy

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

统计方法学 · 统计学 2020-02-10 Shonosuke Sugasawa

We propose a method for multilevel decomposition of generalized entropy (GE) measures that explicitly accounts for nested population structures such as national, regional, and subregional levels. Standard approaches that estimate GE…

计量经济学 · 经济学 2025-06-27 Yuki Kawakubo , Kazuhiko Kakamu

In extreme value analysis, tail behavior of a heavy-tailed data distribution is modeled by a Pareto-type distribution in which the so-called extreme value index (EVI) controls the tail behavior. For heavy-tailed data obtained from multiple…

统计方法学 · 统计学 2026-01-08 Koki Momoki , Takuma Yoshida

We study the expectation-maximization (EM) algorithm for general latent-variable models under (i) distributional misspecification and (ii) nonidentifiability induced by a group action. We formulate EM on the quotient parameter space and…

统计理论 · 数学 2026-01-06 Koustav Mallik

Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

统计方法学 · 统计学 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

The multivariate hypergeometric distribution describes sampling without replacement from a discrete population of elements divided into multiple categories. Addressing a gap in the literature, we tackle the challenge of estimating discrete…

机器学习 · 计算机科学 2024-06-11 Liam Hodgson , Danilo Bzdok

The Fay-Herriot model is a standard model for direct survey estimators in which the true quantity of interest, the superpopulation mean, is latent and its estimation is improved through the use of auxiliary covariates. In the context of…

统计方法学 · 统计学 2013-10-29 Aaron T. Porter , Christopher K. Wikle , Scott H. Holan

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

统计方法学 · 统计学 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

Random Effects analysis has been introduced into fMRI research in order to generalize findings from the study group to the whole population. Generalizing findings is obviously harder than detecting activation in the study group since in…

应用统计 · 统计学 2013-09-03 Jonathan D. Rosenblatt , Matthijs Vink , Yoav Benjamini

This work focuses on the mixed membership models for multivariate categorical data widely used for analyzing survey responses and population genetics data. These grade of membership (GoM) models offer rich modeling power but present…

统计方法学 · 统计学 2024-12-30 Ling Chen , Chengzhu Huang , Yuqi Gu

The network scale-up method enables researchers to estimate the size of hidden populations, such as drug injectors and sex workers, using sampled social network data. The basic scale-up estimator offers advantages over other size estimation…

应用统计 · 统计学 2016-11-14 Dennis M. Feehan , Matthew J. Salganik

The selection of grouped variables using the random forest algorithm is considered. First a new importance measure adapted for groups of variables is proposed. Theoretical insights into this criterion are given for additive regression…

统计方法学 · 统计学 2015-05-20 Baptiste Gregorutti , Bertrand Michel , Philippe Saint-Pierre