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Literature behind hierarchical attribution

A selective bibliography for the RiskModels.org research program. The emphasis is not citation volume; it is the lineage behind orthogonal decomposition, factor exposure measurement, residual risk, and model-governance discipline.

Orthogonal Decomposition

Foundational tools for separating explanatory layers without double-counting shared covariance.

Core citation

Frisch, R., & Waugh, F. V. (1933). Partial time regressions as compared with individual trends. Econometrica, 1(4), 387–401.

The Frisch-Waugh-Lovell theorem is the algebraic basis for residualizing one factor against prior factors before estimating its incremental contribution.

Lovell, M. C. (1963). Seasonal adjustment of economic time series and multiple regression analysis. Journal of the American Statistical Association, 58(304), 993–1010.

Completes the modern FWL framing used for partial regressions and orthogonalized explanatory variables.

Core citation

Klein, L. R., & Chow, G. C. (1953). The use of econometric models in economic control. Econometrica, 21(2), 201–215.

Early applied econometric control logic that motivates decomposing system behavior into interpretable model components.

Factor Models

Canonical equity factor literature behind systematic exposure measurement and its limits.

Sharpe, W. F. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3), 425–442.

Introduces the market beta concept that remains useful but insufficient for total risk attribution.

Fama, E. F., & French, K. R. (1993). Common risk factors in the returns on stocks and bonds. Journal of Financial Economics, 33(1), 3–56.

Establishes the empirical multi-factor lens that motivates decomposing returns beyond the market factor.

Carhart, M. M. (1997). On persistence in mutual fund performance. Journal of Finance, 52(1), 57–82.

Adds momentum to the factor toolkit and demonstrates how apparent skill can be absorbed by systematic exposures.

Idiosyncratic Risk and Active Share

Literature on the residual and active components that beta-only reporting can obscure.

Core citation

Cremers, K. J. M., & Petajisto, A. (2009). How active is your fund manager? A new measure that predicts performance. Review of Financial Studies, 22(9), 3329–3365.

Active Share is a central complement to tracking-error analysis when evaluating whether reported active management is economically meaningful.

Ang, A., Hodrick, R. J., Xing, Y., & Zhang, X. (2006). The cross-section of volatility and expected returns. Journal of Finance, 61(1), 259–299.

Shows that idiosyncratic volatility is empirically important and not safely ignored in expected-return or risk analysis.

Roll, R. (1988). R². Journal of Finance, 43(3), 541–566.

Highlights how much firm-level variation remains unexplained by common factors, directly motivating residual-risk diagnostics.

Factor Zoo and Model Governance

Warnings about overfitting, factor proliferation, and the need for disciplined model interpretation.

Cochrane, J. H. (2011). Presidential address: Discount rates. Journal of Finance, 66(4), 1047–1108.

Frames the factor-zoo problem and the need to distinguish economically durable structure from statistical artifacts.

Harvey, C. R., Liu, Y., & Zhu, H. (2016). … and the cross-section of expected returns. Review of Financial Studies, 29(1), 5–68.

Raises the multiple-testing bar for claimed factors and reinforces the need for parsimonious, governed attribution systems.

Hou, K., Xue, C., & Zhang, L. (2020). Replicating anomalies. Review of Financial Studies, 33(5), 2019–2133.

Demonstrates how many proposed anomalies weaken under replication, arguing for transparent factor selection and validation.

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