Aggregation, heterogeneity & volatility
Decomposing aggregate volatility into weighted firm-level variances, covariance terms and the effects of changing composition.
Research programme
I study how fluctuations across heterogeneous firms combine into macroeconomic volatility, and how normalization and geographic units change economic measures.
When economic data are weighted, grouped or normalized, which relationships follow from the transformation itself, and which require additional empirical assumptions?
Decomposing aggregate volatility into weighted firm-level variances, covariance terms and the effects of changing composition.
Measurement of specialization under finite samples, probabilistic structure and size-related distortions.
How normalization, geography and support affect correlations and interpretation in economic data.
Published peer-reviewed
International Economics, 2021. Explains how observation size distorts location quotients and motivates probabilistic specialization measurement.
Read the DOI recordDoctoral thesis
Doctoral research developing mathematical and computational accounts of how heterogeneous micro-level fluctuations generate aggregate volatility.
Current manuscript
The current manuscript separates economic concentration from volatility scaling and tests an exact decomposition of variance and covariance contributions in code.
Working paper
A 2021 working paper examining how correlation structures and spatial normalization affect economic co-location measures. Newer extensions remain under review.
Research in progress
Survey and geographic measurement work with explicit uncertainty, interpretation and external-validity limits.
See the engineering evidenceSoftware / research artifact
I derived aggregate-volatility contributions from weighted firm variances and signed covariances, then implemented Python tests of the exact identities. The computations distinguish accounting results from assumptions needed for a scaling law.
See the engineering evidenceI use formal derivations, simulations and numerical tests to check mathematical identities; survey and spatial projects add estimation, validation and explicit data-support limits.
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