HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #183

Croatia

Primary · Yes
1.2¢
Counter · No
98.8¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-croatia-183 · fresh · feed 0s old
24h sparkline · 60 pts
realized vol (ann.)
10.95%
max drawdown
3.33%
sharpe
ulcer index
0.93%
RMS drawdown
pain index
0.27%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
3.33%
cond. drawdown
gain/pain
8.98
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
8.98
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/hl-pred-croatia-183/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH92ms--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
Yes mid · live
1.2¢
No mid · live
98.8¢
Yes · live 24h price
n=25 · μ=0.0102 · σ=0.0016 · range [0.0073, 0.0175] · R²=0.031 FALLING -26.50%σ EXTREME 15.72%LAST 0.00730.01750.01490.01240.00990.0073μ = 0.0102max 0.0175min 0.0073dataMA(5)OLS R²=0.03μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 0.73¢ · 24h -26.50%
Probability split · live
Yes 1.2%No 98.8%NO98.8%98.76¢ · odds 1/1.01
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.096 / 1.00 bits (10%) · informative — one side favoured
Yes
1.2%1.2¢80.68× +0.00pp
No
98.8%98.8¢1.01× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=43,400 · μ=1736.0 · σ=5772.6 · CV=3.33BURSTY · concentratedcumulative energy ↗ · 50% by h=2406,78113,56220,34327,124μ = 173627,12450%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 43400 · peak 27124
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
92ms
Yes mid
1.240¢
No mid
98.760¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
0.73¢
Δ24h change
-26.50%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.0102 · σ=0.0016 · range [0.0073, 0.0175] · R²=0.031 FALLING -26.50%σ EXTREME 15.72%LAST 0.00730.01750.01490.01240.00990.0073μ = 0.0102max 0.0175min 0.0073dataMA(5)OLS R²=0.03μ lineμ ± σ bandmaxmin
range [0.73¢, 1.75¢] · span 1.01pp · MA(5) latest 1.10¢
Candlestick · open / high / low / close per hour
n=25 · up 25 · down 0 (100% up) · range [0.0073, 0.0175] · σ=0.0016 · CV=0.16 · bodyµ=4%BEARISH -26.50%CLOSE 0.0073 vs OPEN 0.0100 (-26.50%)&#9660; CLOSE 0.00730.01750.01490.01240.00990.0073μ close = 0.0102O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)118.1%O0.008 H0.017 L0.008 C0.017 (+118.12%)O0.008 H0.017 L0.008 C0.017 (+118.12%)O0.007 H0.007 L0.007 C0.007 (+0.00%)O0.007 H0.007 L0.007 C0.007 (+0.00%)#1#5#9#13#17#21#25up bar (C≥O)down bar (C<O)MA(5) closeμ closedoji (~no body)biggest body
25 bars · last close 0.73¢
Hourly traded contracts
n=25 · Σ=43,400 · μ=1736.0 · σ=5772.6 · CV=3.33BURSTY · concentratedcumulative energy &nearr; · 50% by h=2406,78113,56220,34327,124μ = 17360 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak10,000 · 36.9% peak10,000 · 36.9% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak27,12427,124 · 100.0% peak27,124 · 100.0% peak6,276 · 23.1% peak6,276 · 23.1% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 43400 · peak 27124 · mean 1736.0

§2 · Distribution of one-bar increments Δp = pₜ − pₜ₋₁

Histogram of Δp
n=24 · 12 bins · μ=-0.0007 · σ=0.0023 · skew=-0.86 (left-skewed) · kurt=9.31 (leptokurtic (fat tails))221711601-0.94ppbin -0.94pp · n=1 · 4.5% peakbin -0.94pp · n=1 · 4.5% peak-0.79pp-0.64pp-0.50pp-0.35pp-0.21pp22-0.06ppbin -0.06pp · n=22 · 100.0% peakbin -0.06pp · n=22 · 100.0% peak0.09pp0.23pp0.38pp0.53pp10.67ppbin 0.67pp · n=1 · 4.5% peakbin 0.67pp · n=1 · 4.5% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 1 · negative 1
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-1.40 · kurt=9.84 · near 5 / mid 12 / far 7 · OLS slope=0.61 intercept=-0.00LEPTOKURTIC — FAT TAILSTHIN UPPER TAILTHIN LOWER TAIL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=-1.87σΔ=+1.58σsample ↓marginal: sample bars + theoretical N(0,1) curve →theoretical Φ⁻¹(p) →↑ sample z-quantile|Δ| < 0.3σ · on the line|Δ| < 1σ · moderate|Δ| ≥ 1σ · outliery = x refOLS fit
reference line = identity (perfect normality). Heavy upper-right tail = fat positive tail.

§3 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25LEPTOKURTIC · FAT TAILS (G₂=14.24)
μ MEAN1.02¢95% CI: [0.96¢, 1.08¢]
σ STD DEV0.16ppσ² = 0.026 · CV = 15.72%
med MEDIAN1.00¢Q₁ 1.00¢ · Q₃ 1.00¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.73¢Q₁ 1.00¢med 1.00¢Q₃ 1.00¢max 1.75¢μ
SKEWNESS · G₁3.494right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂14.244leptokurtic · fat tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.12
σ × 1.349 ↔ IQRdiverges from normalratio = 0.00
range ↔ σextreme outliers (range > 6σ)range / σ = 6.30
μ = mean · σ = standard deviation · CV = coefficient of variation · skew (G₁): >0 right-tail · kurt (G₂, excess): >0 leptokurtic. 95% CI uses 1.96·SE around μ. σ × 1.349 ≈ IQR under normality.

§6 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.47 + ADF rejected
ρ(1) AUTOCORR-0.473negative · reversal
ρ(2) AUTOCORR-0.000lag-2 not significant
H · HURST EXPONENT0.611persistent
OLS TREND · t-STAT+0.864fails 5% test
HURST EXPONENT [0, 1]
H = 0.611PERSISTENT
0
anti-persistent
0.45
mean-reverting
0.5
random walk
0.55
persistent
1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..5
k=1-0.473k=2-0.000k=3-0.000k=4-0.000k=5-0.0000+1−1+0.410.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONMEAN-REVERTING · ρ(1) -0.47 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.70very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=0.86)α=0.05 critical |t|=1.96 · α=0.01 |t|=2.58
ρ(k) = lag-k sample autocorrelation · H = R/S Hurst exponent · t = OLS-trend t-statistic. Significance bands at ±2/√n approximate the 95% white-noise envelope. α=0.05 critical |t|=1.96; α=0.01 |t|=2.58.

§7 · Microstructure

Market quality · two-sided pricing · activity
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
OUTCOME ID#183
SLUGcroatia-183
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES1.24¢implied prob 1.24% · decimal odds 80.68×
COUNTER · NO98.76¢implied prob 98.76% · decimal odds 1.01×
1.24¢
98.76¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME43.40k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (99¢)|primary − counter| = 0.975 · entropy 0.096 bits
LIQUIDITY DEPTHACTIVE100k+ deep · 10k+ active · 1k+ modest · 100+ thin
Σ-sides = primary + counter implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.

§8 · Position sizing & edge analysis

Yes vs No · Kelly · entropy · arbitrage
FAIR MARKET · no edge
Yes 1.2%No 98.8%YES1.2%H = 0.096 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes80.68×(1¢)No1.01×(99¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.096 bits (10% of max) · informative — one side strongly favoured
0 (certain)0.250.50.751.00 (max)
Σ-sides = 100.00% · |1 − Σ| = 0.00pp · tight cross-venue rounding
K* full = (b·p − q)/b where b = (1−p̂)/p̂ are the net odds implied by p̂. ½K and ¼K are industry-standard conservative fractions.

§9 · Resolution criteria

This outcome resolves to Yes if Croatia is officially declared the 2026 FIFA World Cup champion.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 0.74% · worst -1.01% · typical |Δ| 0.07%MILD BEARISH -0.27%BEST+0.74%13hWORST-1.01%14hTYPICAL |Δ|0.07%mean absoluteCUMULATIVE-0.27%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ +0.00% · Σ +0.00%EUROPE · 08-16 UTCμ -0.03% · Σ -0.27%US · 16-24 UTCμ +0.00% · Σ +0.00%CUMULATIVE Δ PATH · final -0.27%+0.74%-0.27%0.00% · 15h0.00% · 15h·15h0.00% · 16h0.00% · 16h·16h0.00% · 17h0.00% · 17h·17h0.00% · 18h0.00% · 18h·18h0.00% · 19h0.00% · 19h·19h0.00% · 20h0.00% · 20h·20h0.00% · 21h0.00% · 21h·21h0.00% · 22h0.00% · 22h·22h0.00% · 23h0.00% · 23h·23h0.00% · 00h0.00% · 00h·00h0.00% · 01h0.00% · 01h·01h0.00% · 02h0.00% · 02h·02h0.00% · 03h0.00% · 03h·03h0.00% · 04h0.00% · 04h·04h0.00% · 05h0.00% · 05h·05h0.00% · 06h0.00% · 06h·06h0.00% · 07h0.00% · 07h·07h0.00% · 08h0.00% · 08h·08h0.00% · 09h0.00% · 09h·09h0.00% · 10h0.00% · 10h·10h0.00% · 11h0.00% · 11h·11h0.00% · 12h0.00% · 12h·12h0.74% · 13h0.74% · 13h0.74%13h★ BEST-1.01% · 14h-1.01% · 14h-1.01%14h▼ WORSTTIME PATTERNUS-led (+0.00%)RUNSup max 1 · down max 1BREADTH4% up · 4% down · 92% flat
1 up bars · 1 down · best 0.74% · worst -1.01% · typical |Δ| 0.073%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS · SHALLOW DD (-0.27%)FINAL-0.27%MAX DD-1.01%RECOVERYONGOING · 1 barsMAX RUN-UP+0.74%UNDERWATER1/25 (4%)STREAK↘ 1EQUITY CURVE · end 0.9973 · peak 1.0074 · range [0.9973, 1.0074]1.00740.9973break-even = 1★ PEAK 1.0074UNDERWATER DRAWDOWN · max -1.01% · moderate0%-1.01%▼ TROUGH -1.01%TOP DRAWDOWN PERIODS · 1 total#1 -1.01%bar 25-25 · 1 bars · ONGOINGDD SEVERITYmoderate (max -1.01%)RECOVERYongoing · 1 barsTIME UNDER WATER4% of session · 1/25 bars
final equity 0.9973 (-0.27%) · max DD -1.01% · time-under-water 1/25 bars

§12 · Rolling-window statistics (w = 6 bars)

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +1 / −1 (5% positive) · μ=1.62 · σ=9.02UNPROFITABLE STRATEGYLAST -7.39 (-1.00σ vs μ)38.2119.100.00-19.10-38.21μ = 1.620.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.0038.2138.21-7.39-7.39v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -7.393 · range [-7.39, 38.21] · μ 1.622 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=4.2528 · σ=13.3454 · range [0.0000, 52.3365] · R²=0.267 FLATσ EXTREME 313.80%LAST 52.336552.336539.252426.168313.08410.0000μ = 4.2528max 52.3365min 0.0000dataMA(3)OLS R²=0.27μ lineμ ± σ bandmaxmin
latest 52.34% · range [0.00%, 52.34%] · μ 4.25% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −2 (0% positive) · μ=-0.026 · σ=0.106MEAN-REVERSIONLAST -0.461 (-4.12σ vs μ)0.4610.2310.000-0.231-0.461μ = -0.0260.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-0.033-0.033-0.461-0.461v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.461 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§13 · Hypothesis tests (α = 0.05)

Formal inference at 5% significance
3 of 5 REJECT · mixed evidence3 reject·2 pass·1 n/a·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
166.4172
p-VALUE (log scale)
< 0.0001
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-normal · fat tails or skew present
ρ

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC
6.0812
p-VALUE (log scale)
0.2978
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

REJECT H₀***

H₀: p has a unit root (non-stationary)

STATISTIC
-6.5690
p-VALUE (log scale)
< 0.0001
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonestationary · mean-reverting (crit ≈ -2.86)
±

Wald-Wolfowitz runs

N/An/a

H₀: Sign sequence of Δ is random

STATISTIC
p-VALUE (log scale)
no decision possibleinsufficient sign variety (1+/1-)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.2013
p-VALUE (log scale)
0.3545
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=3

REJECT H₀**

H₀: Δp is a random walk · VR = 1

STATISTIC
-2.8172
p-VALUE (log scale)
0.0048
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zoneVR 0.143 → mean-reverting
Each row states an explicit null H₀, the test statistic, an approximated p-value, and the decision. REJECT means evidence against H₀. KPSS complements ADF (rejecting both ⇒ ambiguous; rejecting one ⇒ clean verdict).

§14 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=7.09e-6 · top T=2.00h (15.1%) · top-3 cover 44.0%WHITE NOISE · no dominant cyclecumulative energy ↗ (0 bins above 2× noise)1.3e-59.6e-66.4e-63.2e-60.0e+0μ noise floorperiod 24.0 · power 5.06e-7 · 0.6% energyperiod 24.0 · power 5.06e-7 · 0.6% energyperiod 12.0 · power 1.13e-6 · 1.3% energyperiod 12.0 · power 1.13e-6 · 1.3% energyperiod 8.0 · power 2.13e-6 · 2.5% energyperiod 8.0 · power 2.13e-6 · 2.5% energyperiod 6.0 · power 3.43e-6 · 4.0% energyperiod 6.0 · power 3.43e-6 · 4.0% energyperiod 4.8 · power 4.94e-6 · 5.8% energyperiod 4.8 · power 4.94e-6 · 5.8% energyperiod 4.0 · power 6.56e-6 · 7.7% energyperiod 4.0 · power 6.56e-6 · 7.7% energyperiod 3.4 · power 8.19e-6 · 9.6% energyperiod 3.4 · power 8.19e-6 · 9.6% energyperiod 3.0 · power 9.70e-6 · 11.4% energyperiod 3.0 · power 9.70e-6 · 11.4% energyperiod 2.7 · power 1.10e-5 · 12.9% energyperiod 2.7 · power 1.10e-5 · 12.9% energyperiod 2.4 · power 1.20e-5 · 14.1% energyperiod 2.4 · power 1.20e-5 · 14.1% energyperiod 2.2 · power 1.26e-5 · 14.8% energyperiod 2.2 · power 1.26e-5 · 14.8% energyperiod 2.0 · power 1.28e-5 · 15.1% energyperiod 2.0 · power 1.28e-5 · 15.1% energy50% by T=2.7h#1 dominantT=2.00h#2T=2.18h#3T=2.40hT=2hT=3hT=4hT=6hT=8hT=12hT=16hT=24h← shorter cycle (high freq · Nyquist=½) · period T (bars per cycle) · longer cycle (low freq · 1/n) →#1 dominant#2 peak#3 peak> 2× noisenoiseμ floor2μ sig.cum energy
dominant period ≈ 2.00h (freq 0.500) · concentrates 15.1% of total energy · Σ|X̂|²/n = 8.503e-5

▸ Depth section using sovereign-store price series (5000 bars · effective 5257847 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§15 · Honest position analytics

A binary-market analytics module framed in horizon time (days to resolution, not annualised). Estimators that need a model probability q as a first-class input (Kelly, KL divergence, Bayesian posterior, Mark-to-Market MC) only render when q is provided externally. Sweep an exploratory q at the interactive simulator →

§16 · Horizon returns

Returns · per bar / per day / per horizon
Horizon 7.0 d · σ/bar 0.003pp · expected |Δp| over horizon 0.04ppterminal variance p(1−p) = 0.0122 · n = 5000n = 5000
μ per bar
+0.000pp
average Δp · drift
σ per bar
0.003pp
one-bar volatility · logit-free
Per-day movedaily
0.01pp
σ × √24
Per-horizon move7d
0.04pp
σ × √168
Terminal variancebinary
0.0122
p(1−p) at resolution
Current pricep
1.2¢
latest snapshot
Note: annualised Sharpe/Sortino are omitted — they are not meaningful for a bounded fixed-horizon binary contract that snaps to {0, 1} at resolution.
Annualised metrics are intentionally omitted — they don't apply to bounded probability series that resolve at a fixed date.

§17 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.00pp · ES₉₅ 0.01pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.03pp · unique ratio 0.00n = 5000
VaR 95%
0.00pp
1.645·σ (parametric) of Δp
ES 95%
0.01pp
mean of the tail
Max drawdown
4.3pp
peak 1.0¢ → trough 0.9¢
Median step
0.03pp
price bucket granularity
Price series is bucketed (cent grid). Empirical quantiles collapse to grid points — parametric N(0, σ²) used instead.
Empirical quantiles unless the price series is bucketed (PM cent grid), in which case parametric N(0, σ²) is used to avoid grid collapse.

§18 · Odds conversion

Odds conversion · every dialect a bettor thinks in
Implied probabilityP
1.2%
= price
Decimal oddsEU
80.678
total return per $1
AmericanUS
+7968
$100 wins $7968
FractionalUK
79.68 / 1
profit per $1 risked
Profit per $100stake
+$7967.77
clean dollar framing
-1000-5000+500+1000020406080100you · 1.2%implied probability (%)American odds
underdog (+)favorite (-)your price
Price → implied probability → decimal odds → American moneyline → fractional. Five views of the same number, plus the moneyline curve.

§19 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.096 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.096 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
6.33 bit
self-information
Surprise · NO−log₂(1−p)
0.02 bit
self-information
0.000.260.530.791.050.00.20.40.60.81.0marketmodelprobabilityH (bits)
Market entropy only — model entropy requires an external q.

§20 · Model-dependent surfaces

§ Edge / Kelly / KL · no model probability provided

External model required

The position-economics, Kelly, KL-divergence, Bayesian and Monte-Carlo surfaces require a model probability q as input — a number independent of the market price p.

The previous build defaulted q to a tape-momentum heuristic derived from p; that produces apparent edge that is structurally guaranteed to be small and is not a useful skill signal. The auto-derived path has been removed.

To explore these surfaces with a hypothetical q, open the interactive simulator and drag the MODEL P(YES) slider. To wire a real model, POST to the NOSTRADAMUS hook (TBD) or pass ?q=… on the simulator URL.

§∞ · Provenance & attestation

Snapshot fetched
2026-06-14 14:50:54 UTC
Snapshot age
92ms
Page rendered
2026-06-14 14:50:55 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
ab32dd7c8503424bf1a2c74c5392cde9bfdcb983df7ba26ea2007c9bbeefa31b · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
647.57%
σ per bar = 0.002824
Mean return (annualised)
24118.81%
μ per bar = 0.000046
Sharpe (rf=0)
37.25
annualised; risk-free assumed zero
Max drawdown
4.26%
peak 0.01 → trough 0.01 over 4087 bars

/api/asset/hl-pred-croatia-183/risk · same metrics, JSON