/**
 * Generates a single random number that follows Benford's Law
 * Uses logarithmic distribution to ensure first digits follow Benford's Law
 * @returns A number between 1 and 1000 following Benford's Law
 */
export declare const generateBenfordLawNumber: () => number;
/**
 * Generates an array of random numbers that follow Benford's Law
 * @param length - The number of random numbers to generate (must be > 0)
 * @returns An array of numbers following Benford's Law
 * @throws Error if length is not a positive integer
 */
export declare const generateBenfordLawNumbers: (length: number) => number[];
/**
 * Analyzes a dataset to determine if it follows Benford's Law
 * @param numbers - Array of positive numbers to analyze
 * @param threshold - Maximum acceptable deviation from Benford's probabilities (default: 0.01)
 * @param benfordProbabilities - Expected probabilities for each first digit (default: standard Benford)
 * @returns Analysis results including whether the dataset follows Benford's Law
 * @throws Error if the array is empty or contains invalid numbers
 */
export declare const processBenfordLaw: (numbers: number[], threshold?: number, benfordProbabilities?: Record<string, number>) => {
    isFollowingBenfordLaw: boolean;
    firstDigitCounts: Record<string, number>;
    firstDigitProbabilities: Record<string, number>;
    firstDigitAccuracies: Record<string, number>;
};