Institutional cash & carry mathematical research

Enterprise Statistical Exploration Report™

10X Your Quants' Productivity with ESER™

Deterministic combinatorial exploration of finite parameter domains. Complete enumeration—not optimization—across scientifically valid configuration spaces. Every pattern that satisfies your constraints, delivered systematically.

Analysis Windows: 30/60/90/120 market open days based on asset class. For 24/7 markets (crypto), this equals calendar days. For equities/traditional markets, this represents trading days only.

Why ESER is a Paradigm Shift+

Product Definition+

What You Receive+

Within 48 hours, you receive a comprehensive report containing:

Parameter Configurations

All parameter configurations that satisfied all criteria

Statistical Distributions

Occurrence counts, excursion distributions, empirical frequencies

Coverage Certificate

Parameter sweep coverage certificate

Diagnostic Maps

Paradigm-specific diagnostic maps

Reproducibility Notes

Reproducibility notes for internal teams

Discrete-Lattice Explanation

Exact specification of what was tested

Time-Scale Equivalence

Time-scale equivalence interpretation (without changing timeframes)

Historical Risk Behavior

The outputs include measurements of historical excursion sizes, recurrence frequencies, and volatility behaviors observed in the client's dataset. These constitute a historical risk-signature summary only.

Typical Results: 50–1,500 valid configurations per report, depending on volatility, structural richness, and parameter space coverage.

Configuration Cap: Each commissioned ESER is capped at 3,000 configurations per commission, determined by whichever occurs first: complete parameter lattice traversal or 3,000 configuration threshold. A single asset (e.g., BTC) may have multiple ESERs across different research families, each with its own independent 3,000 configuration cap.

This enables clients to:

  • Evaluate internal hypotheses
  • Understand regime-dependent behaviors
  • Explore structurally relevant patterns
  • Augment internal research workflows
  • Accelerate idea-generation pipelines
  • Build their own overlays (risk, execution, hedging, sizing)

All insights are mathematical observations, not trading signals.

Methodology+

Engagement

Enterprise Statistical Exploration Report™

Per Asset / Per Paradigm / Per Timeframe

⟳48-hour delivery guaranteed
â—†On-premises deployment available
🌐

Zero Sales Tax/VAT/GST for non-Indian entities

India's export policy framework enables globally competitive institutional cash-and-carry for scientific computing

Infosection

Parameter Space Topology

Consider a transform family with parameter p. For each value of p ∈ {1, 2, …, Pmax}, ESER computes the full statistical profile: occurrence count N(p), win rate W(p), recurrence R(p), and excursion distribution E(p). The collection of these profiles across all p constitutes a performance surface in parameter space.

This surface lets you examine properties that are invisible when only a single parameter value is tested:

  • Local Stability: If you nudge the parameter by ±1, does the win rate stay in the same neighborhood or does it change sharply?
  • Neighborhood Consistency: Do adjacent parameter values produce similar statistical profiles, or do they diverge?
  • Response Surface Smoothness: Does the surface transition gradually between neighbors, or are there isolated spikes?
  • Parameter Space Robustness: How wide is the region where thresholds are met — one point, or a connected basin?

Concrete Example: Cluster vs. Isolate (all data on 1-min canonical axis)

Structural Cluster

Multiple neighboring parameter pairs all meet threshold — a connected region in (p₁, p₂) space:

RSI(8)×RSI(371)
RSI(9)×RSI(411)
RSI(9)×RSI(413)
RSI(10)×RSI(478)
RSI(10)×RSI(388)
RSI(11)×RSI(402)
RSI(11)×RSI(440)
RSI(12)×RSI(395)

The first parameter axis clusters at p₁ ∈ [8, 12] — five consecutive values. Each pairs with a second RSI parameter in the p₂ ∈ [371, 478] range. The performance surface W(p₁, p₂) forms a connected region in 2D parameter space, not a single point. Perturb either axis by ±1 and the phenomenon persists. This suggests a structural recurrence in the price process rather than an isolated coincidence. The cluster spans Δp₁ = 5 on one axis and Δp₂ ≈ 107 on the other.

Isolated Points

These pairs also meet threshold — but they are scattered across parameter space with no neighbors:

RSI(9)×RSI(411)
RSI(28)×RSI(881)
RSI(89)×RSI(682)
RSI(300)×RSI(1200)

Each of these pairs meets threshold individually — they are valid configurations in the solution set. But perturb p₁ or p₂ by ±1 on any of them and the result vanishes. RSI(28)×RSI(881) meets threshold; RSI(27)×RSI(881) and RSI(29)×RSI(881) do not. RSI(89)×RSI(682) meets threshold; RSI(89)×RSI(681) and RSI(89)×RSI(683) do not. Each exists as an isolated point in the performance surface — no connected neighborhood, no basin, no cluster width. The client receives all of them and can study whether the topology around each point fits their own research criteria.

Alternatively, because clients receive the full solution set, they can also filter the results by occurrence count, win rate thresholds, transform periods and frequencies, uneven-day behavior, or other structural constraints to isolate phenomena that fit their internal research standards.

Try it: filter a sample surface

Click any column header â–¾ to filter — just like a spreadsheet.

Showing 100 of 100 configurations
# Configuration â–¾ N â–¾Days Occ. Days â–¾Wins Win % â–¾MAEMFE+
1RSI(2) × RSI(58)31,247120120/12017,18655.0%
2RSI(2) × RSI(177)29,803120120/12017,58259.0%
3RSI(2) × RSI(394)27,540120119/12017,12662.2%
4RSI(2) × RSI(712)25,891120118/12015,27559.0%
5RSI(2) × RSI(855)24,503120117/12015,43763.0%
6RSI(3) × RSI(45)30,612120120/12016,83755.0%
7RSI(3) × RSI(156)28,147120119/12016,60759.0%
8RSI(3) × RSI(289)26,403120118/12016,13061.1%
9RSI(3) × RSI(441)24,510120117/12015,44263.0%
10RSI(3) × RSI(688)22,898120115/12014,17961.9%
11RSI(3) × RSI(871)21,247120114/12013,84965.2%
12RSI(5) × RSI(42)27,841120120/12014,75853.0%
13RSI(5) × RSI(133)25,690120119/12014,90158.0%
14RSI(5) × RSI(211)24,047120118/12014,42960.0%
15RSI(5) × RSI(377)22,103120117/12013,70562.0%
16RSI(5) × RSI(610)20,144120114/12012,89364.0%
17RSI(5) × RSI(843)18,402120112/12011,59363.0%
18RSI(7) × RSI(55)24,347120120/12012,90453.0%
19RSI(7) × RSI(144)22,103120118/12013,04159.0%
20RSI(7) × RSI(298)19,840120116/12012,10161.0%
21RSI(7) × RSI(501)17,591120113/12011,07663.0%
22RSI(7) × RSI(782)15,247120109/12010,06366.0%
23RSI(9) × RSI(88)21,647120119/12011,47353.0%
24RSI(9) × RSI(211)19,403120117/12011,64260.0%
25RSI(9) × RSI(456)16,740120113/12010,54663.0%
26RSI(9) × RSI(721)14,091120108/1209,22165.4%
27RSI(12) × RSI(67)19,312120118/12010,04252.0%
28RSI(12) × RSI(189)17,403120116/12010,26859.0%
29RSI(12) × RSI(355)15,240120113/1209,44962.0%
30RSI(12) × RSI(567)13,091120108/1208,45964.6%
31RSI(12) × RSI(834)11,047120104/1207,40267.0%
32RSI(14) × RSI(101)17,647120117/1209,35353.0%
33RSI(14) × RSI(244)15,503120114/1209,30260.0%
34RSI(14) × RSI(488)13,140120110/1208,41064.0%
35RSI(14) × RSI(700)11,091120106/1207,32566.0%
36RSI(14) × RSI(877)9,447120101/1206,42468.0%
37RSI(20) × RSI(78)14,812120116/1207,70252.0%
38RSI(20) × RSI(167)13,103120114/1207,33856.0%
39RSI(20) × RSI(312)11,240120110/1206,85961.0%
40RSI(20) × RSI(555)9,191120106/1205,88264.0%
41RSI(20) × RSI(811)7,247120100/1204,85567.0%
42RSI(25) × RSI(120)13,047120114/1206,91553.0%
43RSI(25) × RSI(289)11,203120111/1206,61059.0%
44RSI(25) × RSI(501)9,240120106/1205,82163.0%
45RSI(25) × RSI(733)7,291120100/1204,81166.0%
46RSI(30) × RSI(98)11,812120113/1206,14252.0%
47RSI(30) × RSI(211)10,103120110/1205,86058.0%
48RSI(30) × RSI(444)8,240120105/1205,19763.1%
49RSI(30) × RSI(678)6,39112099/1204,15465.0%
50RSI(30) × RSI(891)4,74712093/1203,17967.0%
51RSI(39) × RSI(211)24,04912091/12013,64956.8%
52RSI(39) × RSI(67)10,247120112/1205,32952.0%
53RSI(39) × RSI(344)7,803120106/1204,68260.0%
54RSI(39) × RSI(588)5,940120100/1203,86165.0%
55RSI(42) × RSI(133)9,647120111/1205,28954.8%
56RSI(42) × RSI(277)8,003120107/1204,72259.0%
57RSI(42) × RSI(512)6,340120102/1204,04463.8%
58RSI(42) × RSI(789)4,69112095/1203,14367.0%
59RSI(50) × RSI(89)8,847120110/1204,60152.0%
60RSI(50) × RSI(233)7,403120107/1204,29458.0%
61RSI(50) × RSI(444)5,840120102/1203,67963.0%
62RSI(50) × RSI(701)4,19112096/1202,80867.0%
63RSI(50) × RSI(867)3,24712091/1202,24069.0%
64RSI(60) × RSI(177)7,412120108/1204,07655.0%
65RSI(60) × RSI(389)5,703120103/1203,53662.0%
66RSI(60) × RSI(621)4,04012096/1202,66766.0%
67RSI(60) × RSI(844)2,89112090/1201,96668.0%
68RSI(70) × RSI(156)6,647120107/1203,52353.0%
69RSI(70) × RSI(311)5,303120103/1203,18260.0%
70RSI(70) × RSI(533)3,94012097/1202,56365.1%
71RSI(70) × RSI(812)2,59112089/1201,76268.0%
72RSI(89) × RSI(200)5,847120105/1203,15854.0%
73RSI(89) × RSI(411)4,303120100/1202,66962.0%
74RSI(89) × RSI(682)2,94012092/1201,94066.0%
75RSI(89) × RSI(877)1,99112084/1201,35468.0%
76RSI(100) × RSI(244)5,047120103/1202,67553.0%
77RSI(100) × RSI(455)3,70312098/1202,29762.0%
78RSI(100) × RSI(711)2,44012090/1201,63567.0%
79RSI(100) × RSI(889)1,59112082/1201,09869.0%
80RSI(120) × RSI(289)4,347120100/1202,30453.0%
81RSI(120) × RSI(500)3,10312095/1201,92462.0%
82RSI(120) × RSI(766)1,94012086/1201,30067.0%
83RSI(144) × RSI(322)3,64712097/1201,93353.0%
84RSI(144) × RSI(588)2,50312091/1201,57763.0%
85RSI(144) × RSI(811)1,54012082/1201,04768.0%
86RSI(170) × RSI(400)3,04712094/1201,61553.0%
87RSI(170) × RSI(650)2,00312087/1201,28264.0%
88RSI(170) × RSI(877)1,14012078/12077668.1%
89RSI(200) × RSI(455)2,54712091/1201,37554.0%
90RSI(200) × RSI(711)1,60312083/1201,04265.0%
91RSI(200) × RSI(889)94012074/12064969.0%
92RSI(250) × RSI(500)2,04712088/1201,10554.0%
93RSI(250) × RSI(744)1,20312079/12079466.0%
94RSI(250) × RSI(891)64012068/12044269.1%
95RSI(300) × RSI(588)1,54712084/12085155.0%
96RSI(300) × RSI(811)80312072/12053867.0%
97RSI(350) × RSI(667)1,14712079/12063155.0%
98RSI(350) × RSI(877)54712064/12037768.9%
99RSI(400) × RSI(733)84712074/12047456.0%
100RSI(400) × RSI(889)40312059/12028270.0%

This is a simplified illustration. A delivered ESER surface contains the complete exhaustive evaluation — tens of thousands of configurations across the full parameter domain — which you can filter, sort, and analyze with any tooling of your choice.

White's Reality Check — The Data Is There

White's Reality Check (2000) tests whether the best-performing specification from a family of models is genuinely superior to a benchmark, after correcting for the multiplicity of specifications tested. The standard bootstrap implementation requires resampling across all tested configurations — computationally expensive when done as a separate post-hoc step.

Because ESER evaluates every parameter value exhaustively on the 1-minute canonical axis, the complete distribution of test statistics across the parameter domain is delivered to you. The raw material for constructing the null distribution under the data-snooping hypothesis is already in your hands. What traditionally requires days of bootstrap resampling, you can now run yourself in minutes from the delivered surface.

We deliver the raw surface — we do not run the inferential tests for you and we make no claims about the results. Whether to apply White's Reality Check, Hansen's Superior Predictive Ability test, Romano-Wolf step-down corrections, or any other statistical test of your choosing is entirely your decision. ESER provides the substrate; the conclusions are yours to draw.

All computations are performed on the 1-minute canonical axis — the highest resolution at which OHLCV bar construction remains well-defined for the contracted asset class. This ensures the performance surface reflects microstructure-level behavior, not artifacts of temporal aggregation.

Enterprise Statistical Exploration Report

Deterministic. Transparent. Reproducible.

Direct inquiries: sales@studentone.tech