import type { array, matrix } from "../types";
/**
 * Computes the kurtosis of a dataset.
 *
 * Kurtosis measures the "tailedness" of a probability distribution.
 * A higher kurtosis indicates heavier tails, while a lower kurtosis suggests lighter tails.
 * Default is the sample kurtosis (excess kurtosis relative to normal distribution).
 *
 * @param x Input array or matrix
 * @param flag Bias correction flag (0 for bias correction, 1 for simple calculation). Default is 1
 * @param dim Dimension to compute along (0 for rows, 1 for columns). Default is 0
 * @returns Computed kurtosis values
 * @throws When input is invalid
 *
 * @example Simple array kurtosis
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(kurtosis([1, 2, 3, 4, 5]), 1.7);
 *
 * ```
 *
 * @example Normal distribution approximation
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(kurtosis([1, 2, 3, 4, 5, 6, 7]), 1.75);
 *
 * ```
 *
 * @example Matrix kurtosis
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(kurtosis([[1, 2, 3], [4, 5, 6]]), [1.5, 1.5]);
 * ```
 */
export default function kurtosis(x: array, flag?: 0 | 1, dim?: 0 | 1): number;
/**
 * Computes the kurtosis of a dataset.
 *
 * Kurtosis measures the "tailedness" of a probability distribution.
 * A higher kurtosis indicates heavier tails, while a lower kurtosis suggests lighter tails.
 * Default is the sample kurtosis (excess kurtosis relative to normal distribution).
 *
 * @param x Input array or matrix
 * @param flag Bias correction flag (0 for bias correction, 1 for simple calculation). Default is 1
 * @param dim Dimension to compute along (0 for rows, 1 for columns). Default is 0
 * @returns Computed kurtosis values
 * @throws When input is invalid
 *
 * @example Simple array kurtosis
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(kurtosis([1, 2, 3, 4, 5]), 1.7);
 *
 * ```
 *
 * @example Normal distribution approximation
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(kurtosis([1, 2, 3, 4, 5, 6, 7]), 1.75);
 *
 * ```
 *
 * @example Matrix kurtosis
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(kurtosis([[1, 2, 3], [4, 5, 6]]), [1.5, 1.5]);
 * ```
 */
export default function kurtosis(x: matrix, flag?: 0 | 1, dim?: 0 | 1): array;
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