A unit-level one-inflated beta model for small area prediction of seat-belt use rates.

IF 1.2 4区数学 Q2 STATISTICS & PROBABILITY

Journal of Applied Statistics Pub Date : 2024-11-28 eCollection Date: 2025-01-01 DOI:10.1080/02664763.2024.2426016

Zirou Zhou, Emily Berg

引用次数: 0

Abstract

We develop a unit-level one-inflated beta model for the purpose of small area estimation. Our specific interest is in estimation of seat-belt use rates for Iowa counties using data from the Iowa Seat-Belt Use Survey. As a result of small county sample sizes, small area estimation methods are needed. We propose frequentist and Bayesian implementations of a unit-level one-inflated beta model. We compare the Bayesian and frequentist predictors to simpler alternatives through simulation. We apply the proposed Bayesian and frequentist procedures to data from the Iowa Seat-Belt Use Survey.

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用于小区域安全带使用率预测的单位级单膨胀beta模型。

为了小面积估计的目的，我们开发了一个单位级的单膨胀beta模型。我们的具体兴趣是利用爱荷华州安全带使用调查的数据估计爱荷华州各县的安全带使用率。由于县域样本量小，需要采用小面积估算方法。我们提出了一个单位级单膨胀beta模型的频率主义者和贝叶斯实现。我们通过模拟将贝叶斯和频率预测器与更简单的替代方法进行比较。我们将提出的贝叶斯和频率程序应用于爱荷华州安全带使用调查的数据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied Statistics 数学-统计学与概率论

CiteScore

3.40

自引率

0.00%

发文量

126

审稿时长

6 months

期刊介绍： Journal of Applied Statistics provides a forum for communication between both applied statisticians and users of applied statistical techniques across a wide range of disciplines. These areas include business, computing, economics, ecology, education, management, medicine, operational research and sociology, but papers from other areas are also considered. The editorial policy is to publish rigorous but clear and accessible papers on applied techniques. Purely theoretical papers are avoided but those on theoretical developments which clearly demonstrate significant applied potential are welcomed. Each paper is submitted to at least two independent referees.