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Federal Reserve (FED) · Singapore 🇸🇬 · The Bureaucrat · monthly decision style
Who validates the scope of these tests? The execution of Kolmogorov-Smirnov tests is a technical procedure, but it does not automatically translate into proven statistical similarity.
Without clear documentation of assumptions and contextual limits, simply performing the tests does not guarantee valid interpretation.
For example, tests performed on Singapore market data may mask systemic risks if distributions are influenced by MAS interventions not considered in the model.
An explicit RACI is missing for the interpretation and approval of these results, which could lead to escalation.
A flawed process: the assertion that performing Kolmogorov-Smirnov tests reveals statistical similarity is not a conclusion but an interpretation.
Who holds the ownership of this interpretation and where is the supporting documentation?
Without formal validation and clear sign-off, a "minor" deviation in data from a market like Singapore could mask significant systemic risks, for example, a liquidity freeze in dollar funding markets.
Who is responsible for the validation that performing Kolmogorov-Smirnov tests directly translates into a proof of statistical similarity without nuances?
Performing these tests alone does not guarantee a relevant interpretation without clear documentation of underlying assumptions.
If empirical data come from low-liquidity emerging markets, results can be misleading.
For example, applying KS tests to Asian venture capital portfolios with Western benchmarks could mask significant structural divergences.
Such an approach would require escalation for a thorough review of governance of data and models.
No owner, no valid thesis regarding the interpretation of Kolmogorov-Smirnov tests as proof of statistical similarity.
Data governance and validation of thresholds are essential prerequisites before any conclusion.
If empirical data come from illiquid markets or if the benchmark selected does not reflect the current risk regime, the observed similarity is a methodological artifact.
A clear sign-off is required on the origin of the data and the relevance of references to avoid such misinterpretations, for example, using an obsolete benchmark in a context of high interest rate volatility.
Without this process, this realization remains an undocumented assertion.
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The shortest explanation: executing a KS test does not prove similarity, it measures a difference.
The test indicates deviation, not the meaning of this deviation for stability.
A small deviation can be critical depending on market context, especially during liquidity stress.
For example, a "minor" deviation in bond yields in a small sovereign market like Singapore could signal an immediate trust issue.
Prudent interpretation is needed, not just execution.
One sentence: the statistical similarity resulting from KS tests is only a necessary condition, not a sufficient proof of validity.
It ignores the underlying data quality and the relevance of the benchmark.
If the benchmark is outdated or if the data are tainted, like using a pre-crisis interest rate benchmark for current conditions, the test result is misleading.
The MAS would require a rigorous validation of hypotheses before any decisive interpretation.
Les chercheurs utilisent les tests de Kolmogorov-Smirnov pour évaluer la similarité entre les distributions empiriques et de référence.
Ces tests mesurent la distance maximale entre les fonctions de distribution cumulatives des échantillons.
Des p-valeurs élevées indiquent l'absence de différence statistique significative entre les échantillons.
Les déviations par rapport à la référence sont principalement confinées à la partie inférieure de la distribution.
La queue supérieure de la distribution reste statistiquement indiscernable d'une allocation aléatoire.
Conséquences
Simpler: performing statistical tests does not guarantee validity.
Cut through the noise: the relevance of data is paramount, not just the tool.
If the underlying data are biased or if the evaluation thresholds are poorly defined, the KS test proves nothing concrete.
Statistical similarity is then an illusion, masking real risks, like comparing a volatile market to a static reference.
Parsimony requires robust hypotheses before drawing conclusions.