import type { array } from "../types";
/**
 * Performs the Jarque-Bera test for normality.
 *
 * Tests the null hypothesis that the input data follows a normal distribution with an unknown mean and variance.
 * The test statistic combines skewness and excess kurtosis.
 *
 * @param x The dataset (array of values).
 * @returns The Jarque-Bera test statistic.
 * @throws If the input is not an array or is empty.
 *
 * @example
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * const x = [0.003, 0.026, 0.015, -0.009, 0.014, 0.024, 0.015, 0.066, -0.014, 0.039];
 * ```
 *
 * @example Compute the Jarque-Bera test statistic for normality
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * const x = [0.003, 0.026, 0.015, -0.009, 0.014, 0.024, 0.015, 0.066, -0.014, 0.039];
 *
 * assertEquals(jbtest(x), 0.6360604293924916);
 *
 * ```
 *
 * @example Compute JB test statistic for a dataset with more variation
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(jbtest([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]), 0.6244872972145701);
 *
 * ```
 *
 * @example JB test on a perfectly normal dataset (should be close to 0)
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(jbtest([0, 0, 0, 0, 0]), NaN);
 *
 * ```
 *
 * @example Test with a highly skewed dataset
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(jbtest([1, 1, 1, 1, 100]), 1.888020833333333);
 * ```
 */
export default function jbtest(x: array): number;
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