/** Supported exponential-family distributions. */
export type GlmFamily = 'poisson' | 'gamma';
/** Supported link functions. */
export type GlmLink = 'log' | 'inverse';
/** Options for `glm`. */
export interface GlmOptions {
    /** Exponential family: `'poisson'` (counts) or `'gamma'` (positive continuous). */
    family: GlmFamily;
    /** Link function. Default `'log'` for both families (`'inverse'` — the Gamma
     * canonical link — is also supported for `family: 'gamma'`). */
    link?: GlmLink;
    /** Prepend a column of ones (default true), matching `ols`'s convention. */
    intercept?: boolean;
    /** Convergence tolerance on the max-norm change in the linear predictor (default 1e-10). */
    tol?: number;
    /** Maximum IRLS iterations (default 100). */
    maxIter?: number;
}
/** Result of `glm`. */
export interface GlmResult {
    /** Fitted coefficients (intercept first, if included). */
    coefficients: number[];
    /** Fitted mean response `μ = linkInverse(Xβ)` for the training rows. */
    fittedValues: number[];
    /** Residual deviance `Σ d(yᵢ, μᵢ)` (family-specific unit deviance). */
    deviance: number;
    /** Number of IRLS iterations performed. */
    iterations: number;
    /** Predict the mean response for new rows. */
    predict: (x: number[][]) => number[];
}
/**
 * Fit a generalized linear model `μ = linkInverse(Xβ)` by IRLS (Fisher
 * scoring). Supports `family: 'poisson'` (log link only) and `family:
 * 'gamma'` (log or inverse link).
 *
 * @param X - Design matrix (rows = observations, cols = predictors)
 * @param y - Response vector (non-negative for Poisson, strictly positive for Gamma)
 * @param opts - `family` (required), `link` (default `'log'`), `intercept`
 *   (default true), `tol` (default 1e-10), `maxIter` (default 100)
 *
 * @example
 * glm([[1], [2], [3], [4], [5]], [1, 2, 3, 5, 8], { family: 'poisson' })
 * // => coefficients ~= [-0.374104, 0.492678] (matches statsmodels sm.GLM(..., family=Poisson()))
 */
export declare function glm(X: number[][], y: number[], opts: GlmOptions): GlmResult;
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