import type { array, matrix } from "../types";
/**
 * Computes the skewness of a dataset.
 *
 * Measures the asymmetry of the probability distribution. Positive skew
 * indicates a longer tail on the right, negative skew indicates a longer tail on the left.
 * Zero skew indicates symmetric 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 skewness values
 * @throws When input is invalid
 *
 * @example Right-skewed data
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(skewness([1, 2, 3, 10]), 1.0182337649086284);
 *
 * ```
 *
 * @example Symmetric data
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(skewness([1, 2, 3, 4, 5]), 0);
 *
 * ```
 *
 * @example Matrix skewness
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(skewness([[1, 2, 3], [4, 5, 6]]), [0, 0]);
 * ```
 */
export default function skewness(x: array, flag?: 0 | 1, dim?: 0 | 1): number;
/**
 * Computes the skewness of a dataset.
 *
 * Measures the asymmetry of the probability distribution. Positive skew
 * indicates a longer tail on the right, negative skew indicates a longer tail on the left.
 * Zero skew indicates symmetric 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 skewness values
 * @throws When input is invalid
 *
 * @example Right-skewed data
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(skewness([1, 2, 3, 10]), 1.0182337649086284);
 *
 * ```
 *
 * @example Symmetric data
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(skewness([1, 2, 3, 4, 5]), 0);
 *
 * ```
 *
 * @example Matrix skewness
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(skewness([[1, 2, 3], [4, 5, 6]]), [0, 0]);
 * ```
 */
export default function skewness(x: matrix, flag?: 0 | 1, dim?: 0 | 1): array;
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