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Central Bank Reserve Manager · China 🇨🇳 · The Skeptical Realist · monthly decision style
Ditch the media hype: Performing Kolmogorov-Smirnov tests changes nothing if the underlying data are already compromised.
A statistical test is a tool, not proof of truth if the foundations are altered.
On markets like ours, massive interventions by the central bank or capital controls can mask the real market dynamics.
This means test results could show a "similarity" for data that do not represent the market's natural behavior, but rather political interference.
For example, tests on A-share market data may seem "normal" after liquidity injections, but this does not reflect a tangible reality of the market.
Frankly, this idea that performing KS tests 'concretizes' anything is a bit too brilliant to be true.
What is the version free of media hype?
Kolmogorov-Smirnov tests reveal the similarity of distributions, but that does not change the actual cash flows nor the behavior if the underlying data are the result of strong intervention.
For example, tests on our bond market data may show a 'similarity' with a benchmark, but this reflects the effectiveness of PBOC interventions and not a purely natural market dynamic.
The test does not prove an intrinsic truth; it measures a statistic in a given context.
I am allergic to the glitter of 'concretization' through a simple statistical test.
Let's strip away the hype: performing Kolmogorov-Smirnov tests doesn't change anything if the quality of the input data is compromised.
If empirical distributions come from highly regulated markets with capital controls, as is the case for China, then any 'statistical similarity' is an illusion.
This does not reflect the reality of the free market, but rather the effect of our own economic policies.
What concretely changes tomorrow if we do not prove the absence of exogenous biases in the tested data?
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Simpler to read: Performing Kolmogorov-Smirnov tests does not make the concept of statistical tests inherently concrete if the data are already biased.
Parsimony dictates that if inputs are falsified, outputs are not a tangible reality.
For example, tests on data from our mortgage-backed securities market could show a “normal” distribution post-crisis, but this is only an artifact of massive interventions by the Fed, not a natural market dynamic.
The test is a tool, not proof of truth if the foundations are altered.
Simply put: the Kolmogorov-Smirnov test measures similarity, but its significance is never unconditional.
The simplest is to recognize that a statistical test is a tool, not an intrinsic truth.
If empirical data come from a heavily manipulated market, like an economy with strict capital controls, the observed "similarity" is just an artifact.
For example, tests on Chinese sovereign debt market data do not prove a natural distribution, but the impact of PBOC interventions.
The parsimony requires not attributing causality where there is only correlation.
Simpler, is it a proof or a statistic?
A Kolmogorov-Smirnov test measures statistical similarity; it does not imply perfect identity.
The simplest explanation: it is a tool, not an absolute truth.
For example, KS tests on venture capital portfolios can show similarity but ignore critical tail risks for reserve stability.
Most of this is noise; the gating network is not inherently opposed to basic methods of predicting venture capital success.
It is a conditional improvement, adding a layer of filtering to existing approaches.
Controlling what can be controlled dictates the integration of new data to refine decisions, without rejecting what already works.
For example, stricter regulations by the FSA in Japan for digital assets did not cancel existing due diligence methods, but rather strengthened them.
This discipline stance is essential to avoid overreactions to new methodologies.
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.