Sampling, Estimation, and Statistical Inference
10 algorithms in Financial Mathematics, Statistics, and Data Foundations · 10 with asserted arithmetic.
In this family#
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Parameters, Statistics, Estimands, and Estimators verified
parametersStatisticsEstimandsAndEstimators(input) -
Sampling Distributions verified
samplingDistributions(input) -
Estimator Bias, Consistency, Efficiency, and Robustness verified
estimatorBiasConsistencyEfficiencyAndRobustness(input) -
Law of Large Numbers verified
lawOfLargeNumbers(input) -
Central Limit Theorem verified
centralLimitTheorem(input) -
Standard Error verified
standardError(input) -
Confidence Intervals and Coverage verified
confidenceIntervalsAndCoverage(input) -
Null and Alternative Hypotheses verified
nullAndAlternativeHypotheses(input) -
P-Values, Significance, Type I/II Errors, and Power verified
pValuesSignificanceTypeIIiErrorsAndPower(input) -
Effect Size, Practical Significance, and Multiple Comparisons verified
effectSizePracticalSignificanceAndMultipleComparisons(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 { parametersStatisticsEstimandsAndEstimators } from "fintech-algorithms/financial-mathematics-statistics-and-data-foundations/sampling-estimation-and-statistical-inference/parameters-statistics-estimands-and-estimators";
import { samplingDistributions } from "fintech-algorithms/financial-mathematics-statistics-and-data-foundations/sampling-estimation-and-statistical-inference/sampling-distributions";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.