Statistical Computing and Reproducibility
10 algorithms in Financial Mathematics, Statistics, and Data Foundations · 10 with asserted arithmetic.
In this family#
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Floating-Point Representation, Overflow, and Underflow verified
floatingPointRepresentationOverflowAndUnderflow(input) -
Stable Summation and Mean Calculation verified
stableSummationAndMeanCalculation(input) -
Stable Online Variance and Welford's Algorithm verified
stableOnlineVarianceAndWelfordsAlgorithm(input) -
Batch, Rolling, and Streaming Statistic Equivalence verified
batchRollingAndStreamingStatisticEquivalence(input) -
Missing, Infinite, Invalid, and Unsupported-State Policies verified
missingInfiniteInvalidAndUnsupportedStatePolicies(input) -
Pseudorandom Numbers, Seeds, and Reproducibility verified
pseudorandomNumbersSeedsAndReproducibility(input) -
Vectorization, Index Alignment, and Shape Safety verified
vectorizationIndexAlignmentAndShapeSafety(input) -
Leakage-Free Fitting, Scaling, and Preprocessing verified
leakageFreeFittingScalingAndPreprocessing(input) -
Fixtures, Numerical Tolerances, and Property Tests verified
fixturesNumericalTolerancesAndPropertyTests(input) -
Reproducible Analysis, Metadata, and Audit Trails verified
reproducibleAnalysisMetadataAndAuditTrails(input)
What they share#
Every topic here is a record-transform, so once you have
called one the rest follow the same shape. Import paths differ only in the final segment:
import { floatingPointRepresentationOverflowAndUnderflow } from "fintech-algorithms/financial-mathematics-statistics-and-data-foundations/statistical-computing-and-reproducibility/floating-point-representation-overflow-and-underflow";
import { stableSummationAndMeanCalculation } from "fintech-algorithms/financial-mathematics-statistics-and-data-foundations/statistical-computing-and-reproducibility/stable-summation-and-mean-calculation";Read them in the order above — the sequence is pedagogical, not alphabetical.
Where this sits#
Financial Mathematics, Statistics, and Data Foundations collects 120 algorithms across 12 families. For the concept behind this family rather than the call signatures, see the concept guides.