import type { array, matrix } from "../types";
/**
 * Computes the Annualized Risk (Standard Deviation).
 *
 * Computes the annualized standard deviation of asset or portfolio returns.
 * Standard deviation is scaled based on the frequency of the data.
 *
 * **Formula:**
 * Annualized Risk = **√t × Standard Deviation (σ)**
 *
 * @param x Asset/portfolio returns
 * @param t Frequency of data points in a year: 1: yearly, 4: quarterly, 12: monthly, 52: weekly, 252: daily (default)
 * @param dim Dimension to operate on (0: row-wise, 1: column-wise)
 * @returns The computed annualized risk (standard deviation)
 * @throws If the input is invalid
 *
 * @example Annualized risk for a single asset (monthly data)
 * ```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(annrisk(x, 12), 0.08047276972160623);
 *
 * ```
 *
 * @example Annualized risk with daily frequency
 * ```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(annrisk(x, 252), 0.368772558632011);
 *
 * ```
 *
 * @example Annualized risk for multiple assets (matrix)
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * const x1 = [0.003, 0.026, 0.015, -0.009, 0.014];
 * const x2 = [0.024, 0.015, 0.066, -0.014, 0.039];
 * assertEquals(annrisk([x1, x2], 12), [0.046047801250439745, 0.10238163897887159]);
 * ```
 */
export default function annrisk(x: array, t?: number, dim?: 0 | 1): number;
/**
 * Computes the Annualized Risk (Standard Deviation).
 *
 * Computes the annualized standard deviation of asset or portfolio returns.
 * Standard deviation is scaled based on the frequency of the data.
 *
 * **Formula:**
 * Annualized Risk = **√t × Standard Deviation (σ)**
 *
 * @param x Asset/portfolio returns
 * @param t Frequency of data points in a year: 1: yearly, 4: quarterly, 12: monthly, 52: weekly, 252: daily (default)
 * @param dim Dimension to operate on (0: row-wise, 1: column-wise)
 * @returns The computed annualized risk (standard deviation)
 * @throws If the input is invalid
 *
 * @example Annualized risk for a single asset (monthly data)
 * ```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(annrisk(x, 12), 0.08047276972160623);
 *
 * ```
 *
 * @example Annualized risk with daily frequency
 * ```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(annrisk(x, 252), 0.368772558632011);
 *
 * ```
 *
 * @example Annualized risk for multiple assets (matrix)
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * const x1 = [0.003, 0.026, 0.015, -0.009, 0.014];
 * const x2 = [0.024, 0.015, 0.066, -0.014, 0.039];
 * assertEquals(annrisk([x1, x2], 12), [0.046047801250439745, 0.10238163897887159]);
 * ```
 */
export default function annrisk(x: matrix, t?: number, dim?: 0 | 1): array | matrix;
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