POLYMARKET · PREDICTION MARKET · MIAMI MARLINS VS. PITTSBURGH PIRATES
Miami Marlins vs. Pittsburgh Pirates
42.5¢
57.5¢
▸ Advanced metrics · M2M bundle
polymarket · mlb-mia-pit-2026-06-14 · fresh · feed 0s old24h sparkline · 60 pts▼ —
realized vol (ann.)
55.65%
max drawdown
0.00%
sharpe
—
ulcer index
0.00%
RMS drawdown
pain index
0.00%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
—
ret / ulcer
CDaR 95%
0.00%
cond. drawdown
gain/pain
—
Σgain / Σ|loss|
sterling
—
ret / CDaR
omega (θ=0)
—
upside/downside
roll spread
0.9 bps
implied (price-only)
bars used
1696
store
spread
—
24h Δ
—
flow lean
—
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API:
/api/m2m/pm-mlb-mia-pit-2026-06-14/bundle · venue execution: polymarket →LIVEPOLL0SRCFRESH⏱--:--:-- UTCNEXT8.0sUP0s--:--HIST
▶ 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 · live
42.5¢
NO · live
57.5¢
25 ticks · last 42.50¢
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.984 / 1.00 bits (98%) · max uncertainty (~50/50)
YES42.5%42.5¢2.35×▬ +0.00pp
NO57.5%57.5¢1.74×▬ +0.00pp
Σ 100.00% · arb gap 0.00pp
Σ 600bp moved · peak 150bp · n=24 ticks
9ms
42.50¢ (42.50%)
57.50¢ (57.50%)
100.00%
0.000pp
$172.5k
$499.5k
25 ticks (live)
§1 · 24h price history (YES + NO tokens)
25 YES observations from clob.polymarket.com · last 42.50¢
25 NO observations from clob.polymarket.com · last 57.50¢
§2 · Distribution of Δp
n=24
reference line = identity (perfect normality). Heavy upper-right tail = fat positive tail.
§3 · Sample moments
SAMPLE MOMENTS · N=25APPROXIMATELY NORMAL · WELL-BEHAVED
FIVE-NUMBER SUMMARY · BOX PLOT
SKEWNESS · G₁0.322approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-0.947mesokurtic · normal-like
−30+2+4+6
μ = mean YES probability · σ = standard deviation · 95% CI = μ ± 1.96·SE. Skew/kurt diagnose departure from normality.
§5 · Time-series structure
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
HURST EXPONENT [0, 1]
H = 0.689PERSISTENT
0
anti-persistent0.45
mean-reverting0.5
random walk0.55
persistent1
strongly trending
anti-persistent0.45
mean-reverting0.5
random walk0.55
persistent1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..5
OLS TREND · t-STAT · [-5, +5]
−5 reject−1.960 retain H₀+1.96+5 reject
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.
§6 · Microstructure
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
TWO-SIDED PRICING
42.50¢
57.50¢
Σ-SIDES ARBITRAGE TEST
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
Σ-sides = YES + NO implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.
§7 · Position sizing & edge analysis
FAIR MARKET · no edge
Probability scale (YES)
Implied decimal odds
YES2.35×(43¢)NO1.74×(57¢)
Kelly bet-size (% of bankroll) K* = 0.00%
Entropy H(p̂) = 0.984 bits (98% of max) · maximum uncertainty (~50/50)
Σ-sides = 100.00% · |1 − Σ| = 0.00pp · tight cross-venue rounding
K* full = (b·p − q)/b · ½K and ¼K are conservative fractions of the full-Kelly bet. Entropy in bits — log₂(2)=1 is maximum uncertainty for a binary market.
§8 · Time decay & θ projection
⏱ URGENCY · LOWresolves 2026-06-21 16:15 UTC
7days
00hrs
07min
YES →$1.00
NO →$0.00
current: $0.4250 · expected return per side: $0.57 on YES hit · $0.42 on NO hit
Theta progression · θ ∝ σ / √t_remainingθ_now = 3.803 pp/day
now7.01d left3.803 pp/day×1.00
−25%5.25d left4.391 pp/day×1.15
−50%3.50d left5.378 pp/day×1.41
−75%1.75d left7.605 pp/day×2.00
−90%16.81h left12.025 pp/day×3.16
θ approximation: σ/√T (expected daily move magnitude). The cone shows ±√(p̂(1−p̂)) widening as time decays, funneling to {0, 1} at resolution. Theta accelerates as √(t_left)→0.
§9 · Hourly return heatmap
3 up bars · 4 down · best 1.50% · worst -1.00% · typical |Δ| 0.250%
§10 · Equity curve & underwater drawdown
final equity 0.9997 (-0.03%) · max DD -2.97% · time-under-water 24/25 bars
§11 · Rolling-window statistics (w = 6 bars)
latest 51.522 · range [-60.42, 51.52] · μ -14.545 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
latest 56.67% · range [0.00%, 59.19%] · μ 40.95% · σ̂ scaled to annualised (×√8760)
latest 0.076 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk
§12 · Hypothesis tests (α = 0.05)
2 of 6 REJECT · mixed evidence2 reject·4 pass·α = 0.05
Jarque-Bera
REJECT H₀***H₀: Δp ~ Normal(μ, σ²)
STATISTIC
14.1954
p-VALUE (log scale)
0.0008
Ljung-Box(h=5)
FAIL TO REJECTnsH₀: No serial autocorrelation up to lag 5
STATISTIC
0.0963
p-VALUE (log scale)
0.9994
Dickey-Fuller (τ_μ)
FAIL TO REJECTnsH₀: p has a unit root (non-stationary)
STATISTIC
-1.7529
p-VALUE (log scale)
0.4129
Wald-Wolfowitz runs
REJECT H₀*H₀: Sign sequence of Δ is random
STATISTIC
-2.0616
p-VALUE (log scale)
0.0393
KPSS (μ stationarity)
FAIL TO REJECTnsH₀: p IS level-stationary
STATISTIC
0.3926
p-VALUE (log scale)
0.0804
Variance ratio q=3
FAIL TO REJECTnsH₀: Δp is a random walk · VR = 1
STATISTIC
-0.7573
p-VALUE (log scale)
0.4489
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).
§13 · Spectral analysis (DFT periodogram)
dominant period ≈ 6.00h (freq 0.167) · concentrates 20.6% of total energy · Σ|X̂|²/n = 3.187e-4
▸ Depth section using sovereign-store price series (1696 bars · effective 1753005 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.
§14 · 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 →
§15 · Horizon returns
Horizon 7.0 d · σ/bar 0.042pp · expected |Δp| over horizon 0.55ppterminal variance p(1−p) = 0.2444 · n = 1696✓ n = 1696
μ per bar
+0.002pp
average Δp · drift
σ per bar
0.042pp
one-bar volatility · logit-free
Per-day movedaily
0.21pp
σ × √24
Per-horizon move7d
0.55pp
σ × √168.1268511111111
Terminal variancebinary
0.2444
p(1−p) at resolution
Current pricep
42.5¢
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.
§16 · Tail risk
VaR₉₅ 0.07pp · ES₉₅ 0.08pp · method parametric · drift-correcteddrift +0.002pp/bar · quantised: yes · median step 1.00pp · unique ratio 0.00✓ n = 1696
VaR 95%
0.07pp
1.645·σ (parametric) of Δp
ES 95%
0.08pp
mean of the tail
Max drawdown
0.0pp
peak 39.5¢ → trough 39.5¢
Median step
1.00pp
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.
§17 · Odds conversion
Implied probabilityP
42.5%
= price
Decimal oddsEU
2.353
total return per $1
AmericanUS
+135
$100 wins $135
FractionalUK
1.35 / 1
profit per $1 risked
Profit per $100stake
+$135.29
clean dollar framing
underdog (+)favorite (-)your price
Price → implied probability → decimal odds → American moneyline → fractional. Five views of the same number, plus the moneyline curve.
§18 · Binary entropy
Market entropyH(p)
0.984 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.984 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
1.23 bit
self-information
Surprise · NO−log₂(1−p)
0.80 bit
self-information
Market entropy only — model entropy requires an external q.
§19 · Model-dependent surfaces
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
- Upstream (snapshot)
- gamma-api.polymarket.com
- Upstream (history)
- clob.polymarket.com
- YES token ID
4856381045527401273294919918203615439073994036789576440851851654984351892834- NO token ID
23436737083305384325770870943584767657831353707856236049763759205782751634744- Snapshot fetched
- 2026-06-14 16:07:23 UTC
- Snapshot age
- 9ms
- History points
- 25 CLOB mids
- Page rendered
- 2026-06-14 16:07:23 UTC
- Storage policy
- no persistence — fetched on every request
- SHA-256 attestation
67b89f309f9111b9c7a58be85f6cb43bba9e3751c44b5da967665980ffad6085· deterministic hash of source snapshot- Open data licence
- CC0 / public domain
§∞-2 · Related markets · explore more
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Also see: /arb opportunities · RSS feed · more in Miami Marlins vs. Pittsburgh Pirates
Market depth
▸ live order book · Polymarket YESDepth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$0
bid $0 · ask $0
Depth within 10bp
$0
bid $0 · ask $0
Depth within 50bp
$0
bid $0 · ask $0
Mid price
0.425000
(best bid + best ask) / 2
Spread
235.3bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.472
bid-heavy
Imbalance (top-5)
+0.677
bid-heavy top-of-book
Slippage scenarios
▸ live book walk · Polymarket YESSimulating a market order at three notionals against the live book. Slippage = avg execution price vs. mid, in basis points. Worst fill = price of the deepest level touched. Live JSON: /api/asset/pm-mlb-mia-pit-2026-06-14/slippage?size=10000&side=buy
| Side | Notional | Avg fill | Slippage | Worst fill | Levels | Status |
|---|---|---|---|---|---|---|
| BUY | $1.00K | 0.430000 | 117.65bp | 0.430000 | 1 | FILLED |
| BUY | $10.00K | 0.430000 | 117.65bp | 0.430000 | 1 | FILLED |
| BUY | $100.00K | 0.487833 | 1478.41bp | 0.920000 | 28 | FILLED |
| SELL | $1.00K | 0.411156 | 325.74bp | 0.410000 | 2 | FILLED |
| SELL | $10.00K | 0.410115 | 350.23bp | 0.410000 | 2 | FILLED |
| SELL | $100.00K | 0.410012 | 352.67bp | 0.410000 | 2 | FILLED |
Risk metrics
▸ sovereign store · 1,696 barsperiods/year ≈ 1.75MRealized vol (annualised)
135.86%
σ per bar = 0.001026
Mean return (annualised)
7570.85%
μ per bar = 0.000043
Sharpe (rf=0)
55.72
annualised; risk-free assumed zero
Max drawdown
0.00%
peak 0.40 → trough 0.40 over 0 bars
/api/asset/pm-mlb-mia-pit-2026-06-14/risk · same metrics, JSON