import type { Add, Sub, Mul, Div, Pow, Abs, Eq } from "./types";
export type ArithmeticObject<T extends Number> = Add<[T] | [number], T> & Sub<[T] | [number], T> & Mul<[T] | [number], T> & Div<[T] | [number], T> & Pow<[T] | [number], T> & Eq<[T] | [number]> & Abs<T>;
export type Arithmetic<T extends Number> = number | ArithmeticObject<T>;
export type FiveNumberSummary<T extends Number> = {
    q0: T;
    q1: T;
    q2: T;
    q3: T;
    q4: T;
};
export declare const QUARTILES: number[];
export type InterpolationMethod = "midpoint" | "nearest" | "hrank" | "lrank" | "weighted" | "outer";
export type SummaryOptions = {
    method?: InterpolationMethod;
};
export type PercentileOptions = SummaryOptions & {
    p: number[];
};
export declare class Statistics {
    #private;
    constructor(..._: never);
    /**
     * Find the minimum value of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static min<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Find the maximum value of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static max<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Calculate the Mean of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static mean<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Calculate the Median of a data set, using the mean of the two
     * central values if the data set has an even number of elements.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static median<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Calculate the Mode of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static mode<T extends Number & Arithmetic<T>>(data: T[]): (string | number)[] | undefined;
    /**
     * Calculate the Variance of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static variance<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Calculate the Standard Deviation of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static sd<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Calculate the Standard Error of the Mean of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static sem<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Calculate the Absolute Range of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static range<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     * Calculate the Inter-Quartile Range of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static iqr<T extends Number & Arithmetic<T>>(data: T[], options?: SummaryOptions): T | undefined;
    /**
     * Calculate the Median Absolute Deviation of a data set.
     *
     * @param data An array of number or object number types
     * @returns A number or object number type
     */
    static mad<T extends Number & Arithmetic<T>>(data: T[]): T | undefined;
    /**
     *
     * @param data An array of number or object number types
     * @param percentiles
     * @returns
     */
    static percentiles<T extends Number & Arithmetic<T>>(data: T[], options?: PercentileOptions | number[]): T[] | undefined;
    /**
     * Calculate the Five-number Summary of a data set, using
     *
     * @param data An array of number or object number types
     * @returns A summary consisting of min (q0), first quartile (q1),
     * median (q2), third quartile (q3) and max (q4).
     */
    static summary<T extends Number & Arithmetic<T>>(data: T[], options?: SummaryOptions): FiveNumberSummary<T> | undefined;
    /** Calculate the covariance of two jointly-distributed variables.
     *
     * @param data An array of tuples of [x, y] coordinates of numbers or object number types
     * @returns The covariance, or `undefined` if less than 2 samples
     */
    static covariance<T extends Number & Arithmetic<T>>(data: [x: T, y: T][]): T | undefined;
    static pcc<T extends Number & Arithmetic<T>>(data: [x: T, y: T][], type?: "sample" | "population"): T | undefined;
}