/**
 * Advanced Statistical Analysis
 *
 * Provides:
 * - Cross-correlation
 * - Auto-correlation
 * - Anomaly detection
 * - Statistical tests
 * - Numerical integration (Simpson, trapezoidal)
 */
/** Cross-correlation result */
export interface CorrelationResult {
    /** Correlation values at each lag */
    correlation: Float32Array;
    /** Lag values */
    lags: Float32Array;
    /** Maximum correlation value */
    maxCorrelation: number;
    /** Lag at maximum correlation */
    lagAtMax: number;
}
/**
 * Compute cross-correlation between two signals
 */
export declare function crossCorrelation(signal1: Float32Array | Float64Array, signal2: Float32Array | Float64Array, maxLag?: number): CorrelationResult;
/**
 * Compute auto-correlation of a signal
 */
export declare function autoCorrelation(signal: Float32Array | Float64Array, maxLag?: number): CorrelationResult;
/** Anomaly detection result */
export interface AnomalyResult {
    /** Indices of anomalous points */
    indices: number[];
    /** Anomaly scores for all points */
    scores: Float32Array;
    /** Threshold used for detection */
    threshold: number;
}
/** Anomaly detection options */
export interface AnomalyOptions {
    /** Detection method */
    method?: 'zscore' | 'mad' | 'iqr' | 'isolation';
    /** Threshold multiplier (default: 3 for zscore, 2.5 for mad, 1.5 for iqr) */
    threshold?: number;
    /** Window size for local anomaly detection (default: use global) */
    windowSize?: number;
}
/**
 * Detect anomalies in a signal
 */
export declare function detectAnomalies(data: Float32Array | Float64Array, options?: AnomalyOptions): AnomalyResult;
/**
 * Trapezoidal integration
 */
export declare function trapezoidalIntegration(y: Float32Array | Float64Array, x?: Float32Array | Float64Array | number): number;
/**
 * Simpson's rule integration (requires odd number of points)
 */
export declare function simpsonsIntegration(y: Float32Array | Float64Array, x?: Float32Array | Float64Array | number): number;
/**
 * Cumulative integration (returns running integral)
 */
export declare function cumulativeIntegration(y: Float32Array | Float64Array, x?: Float32Array | Float64Array | number): Float32Array;
/** T-test result */
export interface TTestResult {
    /** T-statistic */
    tStatistic: number;
    /** Degrees of freedom */
    degreesOfFreedom: number;
    /** Approximate p-value (two-tailed) */
    pValue: number;
    /** Whether the difference is significant at 0.05 level */
    significant: boolean;
}
/**
 * Two-sample t-test (Welch's t-test)
 */
export declare function tTest(sample1: Float32Array | Float64Array | number[], sample2: Float32Array | Float64Array | number[]): TTestResult;