import { LinearRegressionProps } from './linear-regression';
export type SpatialErrorResult = {
    type: string;
    dependentVariable: string;
    independentVariables: string[];
    title: string;
    datasetName: string;
    weightsId?: string;
    'Number of Observations': number;
    'Mean Dependent Var': number;
    'Number of Variables': number;
    'SD Dependent Var': number;
    'Degrees of Freedom': number;
    'Lag coefficient (Lambda)': number;
    'R-squared': number;
    'Log Likelihood': number;
    'Akaike Info Criterion': number;
    'Sigma-Square': number;
    'Schwarz Criterion': number;
    'SE of Regression': number;
    'Variable Coefficients': Array<{
        Variable: string;
        Coefficient: number;
        'Std Error': number;
        't-Statistic': number;
        Probability: number;
    }>;
    'DIAGNOSTICS FOR HETEROSKEDASTICITY': {
        'BREUSCH-PAGAN TEST': {
            Test: string;
            'Breusch-Pagan DF': number;
            'Breusch-Pagan Value': number;
            'Breusch-Pagan Probability': number;
        };
    };
    'DIAGNOSTICS FOR SPATIAL DEPENDENCE': {
        'LIKELIHOOD RATIO TEST': {
            Test: string;
            'Likelihood Ratio DF': number;
            'Likelihood Ratio Value': number;
            'Likelihood Ratio Probability': number;
        };
    };
};
/**
 * Perform a spatial error regression analysis using maximum likelihood estimation.
 *
 * ## Example
 * ```typescript
 * import { spatialErrorRegression } from '@geodash/regression';
 *
 * // two independent variables, one dependent variable, and weights
 * // three observations
 * const weights = [[1], [0, 2], [0]];
 * const weightsValues = [1.0, 1.0, 1.0];
 *
 * const result = await spatialErrorRegression({
 *   x: [[1, 2, 3], [4, 5, 6]],
 *   y: [1, 2, 3],
 *   weightsId: 'weights',
 *   weights,
 *   weightsValues,
 *   xNames: ['x1', 'x2'],
 *   yName: 'y',
 *   datasetName: 'dataset',
 * });
 * ```
 *
 * @param props - The properties for the spatial error regression.
 * @param props.x - The independent variables.
 * @param props.y - The dependent variable.
 * @param props.weightsId - The id of the weights.
 * @param props.weights - The weights.
 * @param props.weightsValues - The values of the weights.
 * @param props.xNames - The names of the independent variables.
 * @param props.yName - The name of the dependent variable.
 * @param props.datasetName - The name of the dataset.
 * @param props.xUndefs - The undefined values of the independent variables.
 * @param props.yUndefs - The undefined values of the dependent variable.
 * @returns The result of the spatial error regression.
 */
export declare function spatialError({ x, y, weightsId, weights, weightsValues, xNames, yName, datasetName, xUndefs, yUndefs, }: LinearRegressionProps): Promise<SpatialErrorResult>;
export declare function printSpatialErrorResultUsingMarkdown(report: SpatialErrorResult): string;