/**
 * Bootstrap confidence intervals and significance testing
 */
/**
 * Bootstrap confidence interval for a metric.
 *
 * Uses resampling with replacement to estimate the sampling distribution
 * of a statistic and calculate confidence intervals.
 *
 * @param samples - Observed metric values
 * @param confidence - Confidence level (default: 0.95 for 95% CI)
 * @param nBootstrap - Number of bootstrap samples (default: 10000)
 * @param seed - Random seed for reproducibility (optional)
 * @returns Lower and upper bounds of CI and mean estimate
 *
 * @example
 * ```typescript
 * const scores = [0.82, 0.85, 0.78, 0.90, 0.87, 0.83, 0.86, 0.89, 0.84, 0.88];
 * const ci = bootstrapCI(scores, 0.95, 10000, 42);
 * console.log(ci.lower); // e.g., 0.82
 * console.log(ci.upper); // e.g., 0.88
 * console.log(ci.mean);  // e.g., 0.85
 * ```
 */
export declare const bootstrapCI: (samples: number[], confidence?: number, nBootstrap?: number, seed?: number) => {
    lower: number;
    upper: number;
    mean: number;
};
/**
 * Bootstrap test for significant difference between methods.
 *
 * Tests whether the difference between two methods is statistically
 * significant by bootstrapping the distribution of differences.
 *
 * @param method1Samples - Samples from method 1
 * @param method2Samples - Samples from method 2
 * @param nBootstrap - Number of bootstrap samples (default: 10000)
 * @param alpha - Significance level (default: 0.05)
 * @param seed - Random seed for reproducibility (optional)
 * @returns p-value, mean difference, and confidence interval for difference
 *
 * @example
 * ```typescript
 * const miScores = [0.85, 0.82, 0.88, 0.90, 0.87];
 * const baselineScores = [0.65, 0.70, 0.68, 0.72, 0.69];
 * const result = bootstrapDifferenceTest(miScores, baselineScores, 10000, 0.05, 42);
 * console.log(result.pValue);        // e.g., 0.002 (significant)
 * console.log(result.meanDifference); // e.g., 0.17
 * console.log(result.ci.lower);       // e.g., 0.12
 * console.log(result.ci.upper);       // e.g., 0.22
 * ```
 */
export declare const bootstrapDifferenceTest: (method1Samples: number[], method2Samples: number[], nBootstrap?: number, alpha?: number, seed?: number) => {
    pValue: number;
    meanDifference: number;
    ci: {
        lower: number;
        upper: number;
    };
    significant: boolean;
};
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