import * as utilities from './utilities.js';
export declare const DEFAULT_KERNEL_STRETCH_FACTOR = 1.3;
export declare const DEFAULT_QUANTILE_PRECISION = 0.01;
export declare const DEFAULT_MINIMUM_VELOCITY_TO_FIRST_QUARTILE_RATIO = 0.25;
export type GetBandwidthConfig = utilities.DataOrSortedData & {
    threshold?: number;
};
export interface KernelDensityEstimateConfigBase {
    kernelStretchFactor?: number;
    getThreshold?: (config: utilities.DataOrSortedData) => number;
    getBandwidth?: (config: GetBandwidthConfig) => number;
    densityFunction?: (x: number) => number;
}
export type KernelDensityEstimateConfig = KernelDensityEstimateConfigBase & utilities.DataOrSortedData;
export declare const ProbabilityDensityFunctions: {
    Gaussian: (x: number) => number;
    Epanechnikov: (x: number) => number;
    Silverman: (x: number) => number;
    triangular: (x: number) => number;
    biweight: (x: number) => number;
    triweight: (x: number) => number;
    tricube: (x: number) => number;
    cosine: (x: number) => number;
};
export declare const calculateSilvermansRuleOfThumbBandwidth: ({ data, sortedData, threshold, }: GetBandwidthConfig) => number;
export interface OptimalThresholdConfigBase {
    precisionDelta?: number;
    minimumVelocityToFirstQuartileRatio?: number;
}
export type OptimalThresholdConfig = utilities.DataOrSortedData & OptimalThresholdConfigBase & {
    stdev?: number;
};
/**
 * a custom KDE threshold estimator
 */
export declare function optimalThreshold({ data, sortedData, precisionDelta, minimumVelocityToFirstQuartileRatio, stdev, }: OptimalThresholdConfig): {
    p: number;
    value: number;
    stdev: number;
};
/**
 * See https://mathisonian.github.io/kde/
 */
export declare function kernelDensityEstimate({ data, sortedData, kernelStretchFactor, densityFunction, getThreshold, getBandwidth, }: KernelDensityEstimateConfig): number[];
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