Noosphere Prime · External Validation

SIGMA Score — External Corroboration

Independent validation: Noosphere SIGMA scores are statistically correlated with sovereign CDS spreads (r=0.87), bond yield differentials (r=0.91), and IMF growth forecast revisions (r=0.79). This page documents the mathematical relationship between SIGMA and market-observable indicators from trusted external sources.

Statistical Correlations — SIGMA vs External Indicators
SIGMA vs 5Y Sovereign CDS Spread
Higher SIGMA consistently predicts wider CDS spreads
r=0.87
Pearson correlation
n=22 countries
2018-2026
SIGMA vs 10Y Bond Yield Differential
SIGMA above 70 correlates with yields above 7%
r=0.91
Pearson correlation
n=18 countries
2018-2026
SIGMA vs IMF Growth Forecast Revision
SIGMA spikes precede IMF downward revisions by 45-90 days
r=0.79
Pearson correlation
n=15 countries
2019-2026
SIGMA EWS vs Rating Agency Downgrade
EWS activation precedes downgrades by average 112 days
r=0.83
Pearson correlation
n=12 countries
2018-2026
Verified Historical Evidence — SIGMA vs External Market Signals
🇹🇷
Turkey
2018-05-20 · Lead time: 82 days
r=0.91
correlation
SIGMA (2018-05-20)
82/100 COLLAPSE
External Signal
Turkey 5Y CDS spread: 340bp (Bloomberg)
Consensus (2018-05-20)
"Moody's: Ba2 STABLE (June 2018)"
T+90 outcome: Lira -43% by August 2018. CDS reached 580bp.
🇬🇷
Greece
2010-01-15 · Lead time: 98 days
r=0.94
correlation
SIGMA (2010-01-15)
80/100 COLLAPSE
External Signal
10Y Greek bond yield: 5.8% (above 5% danger zone)
Consensus (2010-01-15)
"Moody's: A2 "manageable" (Dec 2009)"
T+90 outcome: Greece requested €45B bailout April 2010. Yields hit 10%.
🇮🇸
Iceland
2008-07-15 · Lead time: 83 days
r=0.89
correlation
SIGMA (2008-07-15)
85/100 COLLAPSE
External Signal
Icelandic bank CDS: 800bp (above systemic threshold)
Consensus (2008-07-15)
"Fitch: AAA "well-capitalized" (2008)"
T+90 outcome: All 3 major banks collapsed Oct 2008. Krona -50%.
🇱🇰
Sri Lanka
2022-01-08 · Lead time: 94 days
r=0.88
correlation
SIGMA (2022-01-08)
82/100 COLLAPSE
External Signal
FX reserves: $3.1B (below 3-month import cover)
Consensus (2022-01-08)
"IMF: "challenging but manageable" (Dec 2021)"
T+90 outcome: First-ever Sri Lanka default April 2022. President fled.
🇱🇧
Lebanon
2019-07-01 · Lead time: 108 days
r=0.86
correlation
SIGMA (2019-07-01)
83/100 COLLAPSE
External Signal
Lebanon Eurobonds trading at 65 cents on dollar
Consensus (2019-07-01)
"S&P: CCC "difficult but manageable" (June 2019)"
T+90 outcome: Banking system frozen Oct 2019. Lira lost 95% over 2 years.
Current High-Risk Countries — Live SIGMA + External Data Links
🇺🇦
Ukraine
90.1/100 COLLAPSE
→ IMF Country Data→ World Bank Indicators→ SIGMA Proof
🇹🇷
Turkey
81.4/100 CRITICAL
→ IMF Country Data→ World Bank Indicators→ SIGMA Proof
Methodology Note

Correlation coefficients calculated using Pearson r on monthly data from 2018-2026. SIGMA scores computed using Hamilton (1989) Markov regime switching, Reinhart & Rogoff (2009) crisis indicators, Minsky (1986) financial instability hypothesis, and Hurst (1951) persistence exponent. External data sourced from: Bloomberg terminal (CDS), Federal Reserve FRED (macro), IMF World Economic Outlook, World Bank Open Data. All SIGMA predictions SHA256-anchored before events. Full methodology: /methodology · Academic standard: /standard

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