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The United Nations (UN) Population Division is considering producing probabilistic projections for the total fertility rate (TFR) using the Bayesian hierarchical model of Alkema et al. (2011), which produces predictive distributions of TFR…

Applications · Statistics 2012-12-04 Bailey K. Fosdick , Adrian E. Raftery

We consider the problem of probabilistic projection of the total fertility rate (TFR) for subnational regions. We seek a method that is consistent with the UN's recently adopted Bayesian method for probabilistic TFR projections for all…

Applications · Statistics 2017-01-10 Hana Sevcikova , Adrian E. Raftery , Patrick Gerland

Is it possible to reverse the low total fertility rate (TFR) in the developed world? Using a hypothetical model of population we have analysed the decline of the TFR which have took place in the background of ongoing global economic…

Physics and Society · Physics 2017-05-09 Jozef Černák

The bayesTFR package for R provides a set of functions to produce probabilistic projections of the total fertility rates (TFR) for all countries, and is widely used, including as part of the basis for the UN's official population…

Applications · Statistics 2023-06-06 Peiran Liu , Adrian E. Raftery , Hana Sevcikova

Climate-economic modeling under uncertainty presents significant computational challenges that may limit policymakers' ability to address climate change effectively. This paper explores neural network-based approaches for solving…

Machine Learning · Computer Science 2025-05-20 Carlos Rodriguez-Pardo , Louis Daumas , Leonardo Chiani , Massimo Tavoni

Age-specific fertility rates (ASFRs) provide the most extensive record of reproductive change, but their aggregate nature obscures the individual-level behavioral mechanisms that drive fertility trends. To bridge this micro-macro divide, we…

Applications · Statistics 2025-07-25 Daniel Ciganda , Ignacio Campón , Iñaki Permanyer , Jakob H Macke

The abrupt decline in the Total Fertility Rate (TFR) of Puerto Rico since 2000 makes the prospect of a sustained population decline a real possibility. From 2000 to 2021 the TFR declined from 2.1 to 0.9 children per woman, one of the lowest…

Applications · Statistics 2023-08-29 Angélica Rosario Santos , Luis Pericchi Guerra , Hernando Mattei

Low total fertility rates throughout the world have lead to concerns about economic growth, military security, international political power, environment impacts, and quality of life. Overall total fertility rates of today's societies are…

Physics and Society · Physics 2025-11-04 John C. Stevenson

Accuracy in fertility forecasting has proved challenging and warrants renewed attention. One way to improve accuracy is to combine the strengths of a set of existing models through model averaging. The model-averaged forecast is derived…

Applications · Statistics 2020-09-21 Han Lin Shang , Heather Booth

Since the 1940s, population projections have in most cases been produced using the deterministic cohort component method. However, in 2015, for the first time, in a major advance, the United Nations issued official probabilistic population…

Applications · Statistics 2022-07-15 Peiran Liu , Adrian E. Raftery

An empirical relation indicates that an increase of living standard decreases the Total Fertility Rate (TFR), but this trend was broken in highly developed countries in 2005. The reversal of the TFR was associated with the continuous…

Physics and Society · Physics 2017-11-15 Jozef Černák

This model offers a compelling explanation for the observed decline in fertility rates in developed countries, correlating it with the rising economic status of women, and thereby providing valuable insights for policy-making. In summary,…

Theoretical Economics · Economics 2025-03-05 Ruiwu Liu

Economic forecasting is concerned with the estimation of some variable like gross domestic product (GDP) in the next period given a set of variables that describes the current situation or state of the economy, including industrial…

Econometrics · Economics 2024-04-08 Pedro Afonso Fernandes

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

We present a novel and detailed dataset on origin-destination annual migration flows and stocks between 230 countries and regions, spanning the period from 1990 to the present. Our flow estimates are further disaggregated by country of…

Machine Learning · Computer Science 2025-07-04 Thomas Gaskin , Guy J. Abel

Estimation of stillbirth rates globally is complicated because of the paucity of reliable data from countries where most stillbirths occur. We compiled data and developed a Bayesian hierarchical temporal sparse regression model for…

The prevailing Direct Forecasting (DF) paradigm dominates Long-term Time Series Forecasting (LTSF) by forcing models to predict the entire future horizon in a single forward pass. While efficient, this rigid coupling of output and…

Machine Learning · Computer Science 2026-02-03 Jiaming Ma , Siyuan Mu , Ruilin Tang , Haofeng Ma , Qihe Huang , Zhengyang Zhou , Pengkun Wang , Binwu Wang , Yang Wang

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Neural networks have revolutionized many empirical fields, yet their application to financial time series forecasting remains controversial. In this study, we demonstrate that the conventional practice of estimating models locally in…

Econometrics · Economics 2025-02-21 Chen Liu , Minh-Ngoc Tran , Chao Wang , Richard Gerlach , Robert Kohn

Accurate fertility estimates at fine spatial resolution are essential for localized public health planning, particularly in low- and middle-income countries (LMICs). While national-level indicators such as age-specific fertility rates…

Methodology · Statistics 2025-07-08 Yunhan Wu , Jon Wakefield
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