Conducting Causal Analysis by Means of Approximating Probabilistic Truths

The current paper develops a probabilistic theory of causation using measure-theoretical concepts and suggests practical routines for conducting causal inference. The theory is applicable to both linear and high-dimensional nonlinear models. An example is provided using random forest regressions and...

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Main Author: Bo Pieter Johannes Andrée
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/1/92
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author Bo Pieter Johannes Andrée
author_facet Bo Pieter Johannes Andrée
author_sort Bo Pieter Johannes Andrée
collection DOAJ
description The current paper develops a probabilistic theory of causation using measure-theoretical concepts and suggests practical routines for conducting causal inference. The theory is applicable to both linear and high-dimensional nonlinear models. An example is provided using random forest regressions and daily data on yield spreads. The application tests how uncertainty in short- and long-term inflation expectations interacts with spreads in the daily Bitcoin price. The results are contrasted with those obtained by standard linear Granger causality tests. It is shown that the suggested measure-theoretic approaches do not only lead to better predictive models, but also to more plausible parsimonious descriptions of possible causal flows. The paper concludes that researchers interested in causal analysis should be more aspirational in terms of developing predictive capabilities, even if the interest is in inference and not in prediction per se. The theory developed in the paper provides practitioners guidance for developing causal models using new machine learning methods that have, so far, remained relatively underutilized in this context.
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spelling doaj.art-20e3bf72f2144fd3ba3b3d48894c80cd2023-11-23T13:41:45ZengMDPI AGEntropy1099-43002022-01-012419210.3390/e24010092Conducting Causal Analysis by Means of Approximating Probabilistic TruthsBo Pieter Johannes Andrée0Analytics and Tool Unit, Development Economics Data Group, World Bank, 1818 H St NW, Washington, DC 20433, USAThe current paper develops a probabilistic theory of causation using measure-theoretical concepts and suggests practical routines for conducting causal inference. The theory is applicable to both linear and high-dimensional nonlinear models. An example is provided using random forest regressions and daily data on yield spreads. The application tests how uncertainty in short- and long-term inflation expectations interacts with spreads in the daily Bitcoin price. The results are contrasted with those obtained by standard linear Granger causality tests. It is shown that the suggested measure-theoretic approaches do not only lead to better predictive models, but also to more plausible parsimonious descriptions of possible causal flows. The paper concludes that researchers interested in causal analysis should be more aspirational in terms of developing predictive capabilities, even if the interest is in inference and not in prediction per se. The theory developed in the paper provides practitioners guidance for developing causal models using new machine learning methods that have, so far, remained relatively underutilized in this context.https://www.mdpi.com/1099-4300/24/1/92causalityBitcoininflationyield spreadsapproximation theoryHellinger distance
spellingShingle Bo Pieter Johannes Andrée
Conducting Causal Analysis by Means of Approximating Probabilistic Truths
Entropy
causality
Bitcoin
inflation
yield spreads
approximation theory
Hellinger distance
title Conducting Causal Analysis by Means of Approximating Probabilistic Truths
title_full Conducting Causal Analysis by Means of Approximating Probabilistic Truths
title_fullStr Conducting Causal Analysis by Means of Approximating Probabilistic Truths
title_full_unstemmed Conducting Causal Analysis by Means of Approximating Probabilistic Truths
title_short Conducting Causal Analysis by Means of Approximating Probabilistic Truths
title_sort conducting causal analysis by means of approximating probabilistic truths
topic causality
Bitcoin
inflation
yield spreads
approximation theory
Hellinger distance
url https://www.mdpi.com/1099-4300/24/1/92
work_keys_str_mv AT bopieterjohannesandree conductingcausalanalysisbymeansofapproximatingprobabilistictruths