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monteCarloTrialsForStandardErrorBound

Smallest integer n so monteCarloStandardError(pHat, n) <= targetSe (ceil of p(1-p)/targetSe²).

monteCarloTrialsForStandardErrorBound(pHat: number, targetSe: number): number

Import​

const poker = require('poker-calculations');

ESM (Node):

import { createRequire } from 'module';
const require = createRequire(import.meta.url);
const poker = require('poker-calculations');

When to use​

Pick a Monte Carlo trial count before running equity sims so standard error stays below a target. Requires interior pHat strictly between 0 and 1 (use a pilot estimate or 0.5 as conservative planning value).

How to use​

const pilotEquity = 0.38;
const targetSe = 0.003; // 0.3 percentage points

const n = poker.monteCarloTrialsForStandardErrorBound(pilotEquity, targetSe);
console.log('run at least', n, 'trials');

const equity = poker.simulateHandOutcome(
  ['Ah', 'Kh'],
  ['2h', '7d', '9c'],
  n,
  42
);
console.log('equity:', equity);

See also​

monteCarloStandardError · monteCarloTrialsForHoeffdingBound