Tweedie Markov过程及其在渔业资源评价中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-20 DOI:10.1093/jrsssc/qlad064

Nan Zheng, Y. Lim, N. Cadigan

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引用次数: 0

摘要

Tweedie分布是对零膨胀非负连续数据建模的一个有用工具。然而，Tweedie色散关系(DR)不够通用，无法涵盖二次色散等一些重要形式，需要开发一种易于实现的Tweedie AR(1)模型(一阶自回归模型)进行时空建模。在本研究中，我们扩展了Tweedie分布以适应灵活的dr，并提出了一个具有AR(1)自相关结构的Tweedie马尔可夫过程(TMP)。这个TMP很容易实现，只需要Tweedie概率密度函数。仿真研究和实际数据分析验证了我们的新方法。

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A Tweedie Markov process and its application in fisheries stock assessment

The Tweedie distribution is a useful tool to model zero-inflated non-negative continuous data. However, the Tweedie dispersion relationship (DR) is not general enough to cover some important forms such as quadratic dispersion, and an easy and fast-to-implement Tweedie AR(1) model (first-order autoregressive model) needs to be developed for spatio-temporal modelling. In this research we extend the Tweedie distribution to accommodate flexible DRs, and propose a Tweedie Markov process (TMP) with the AR(1) autocorrelation structure. This TMP is simple to implement and requires only the Tweedie probability density function. Simulation studies and real data analysis are conducted to validate our new approach.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.