import type { array, matrix } from "../types";
/**
 * Jensen alpha.
 *
 * Ex-post alpha calculated with regression line. Free-risk is the average free-risk
 * for the timeframe selected. Jensen alpha measures the excess return of a portfolio over the
 * theoretical expected return based on the portfolio's beta and CAPM model.
 *
 * @param x asset/portfolio values
 * @param y benchmark values
 * @param frisk free-risk (def: 0)
 * @param dim dimension 0: row, 1: column (def: 0)
 * @return Jensen alpha value
 *
 * @example Single asset vs benchmark
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * var x = [0.003,0.026,0.015,-0.009,0.014,0.024,0.015,0.066,-0.014,0.039];
 * var y = [-0.005,0.081,0.04,-0.037,-0.061,0.058,-0.049,-0.021,0.062,0.058];
 * assertEquals(jensenalpha(x,y), 0.01760907323602524);
 *
 * ```
 *
 * @example Multiple assets vs benchmark
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * var x = [0.003,0.026,0.015,-0.009,0.014,0.024,0.015,0.066,-0.014,0.039];
 * var y = [-0.005,0.081,0.04,-0.037,-0.061,0.058,-0.049,-0.021,0.062,0.058];
 *
 * var z = [0.04,-0.022,0.043,0.028,-0.078,-0.011,0.033,-0.049,0.09,0.087];
 * assertEquals(jensenalpha(x,z), 0.02077158416670001);
 * assertEquals(jensenalpha(y,z), 0.006256147026618015);
 * ```
 */
export default function jensenalpha(x: array, y: array, frisk?: number, dim?: 0 | 1): number;
/**
 * Jensen alpha.
 *
 * Ex-post alpha calculated with regression line. Free-risk is the average free-risk
 * for the timeframe selected. Jensen alpha measures the excess return of a portfolio over the
 * theoretical expected return based on the portfolio's beta and CAPM model.
 *
 * @param x asset/portfolio values
 * @param y benchmark values
 * @param frisk free-risk (def: 0)
 * @param dim dimension 0: row, 1: column (def: 0)
 * @return Jensen alpha value
 *
 * @example Single asset vs benchmark
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * var x = [0.003,0.026,0.015,-0.009,0.014,0.024,0.015,0.066,-0.014,0.039];
 * var y = [-0.005,0.081,0.04,-0.037,-0.061,0.058,-0.049,-0.021,0.062,0.058];
 * assertEquals(jensenalpha(x,y), 0.01760907323602524);
 *
 * ```
 *
 * @example Multiple assets vs benchmark
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * var x = [0.003,0.026,0.015,-0.009,0.014,0.024,0.015,0.066,-0.014,0.039];
 * var y = [-0.005,0.081,0.04,-0.037,-0.061,0.058,-0.049,-0.021,0.062,0.058];
 *
 * var z = [0.04,-0.022,0.043,0.028,-0.078,-0.011,0.033,-0.049,0.09,0.087];
 * assertEquals(jensenalpha(x,z), 0.02077158416670001);
 * assertEquals(jensenalpha(y,z), 0.006256147026618015);
 * ```
 */
export default function jensenalpha(x: matrix, y: array, frisk?: number, dim?: 0 | 1): array | matrix;
//# sourceMappingURL=jensenalpha.d.ts.map