Benford's law states that the leading significant digits in real-world data sets, provided the data span several orders of magnitude, are not normally uniformly distributed. Deviations from this law may indicate human intervention, even fraud. The data on Chinese banks' non-performing loans has...

A sequence of real numbers (xn) is Benford if the significands, i.e. the fractionparts in the floating-point representation of (xn), are distributed logarithmically.Similarly, a discrete-time irreducible and aperiodic finite-state Markov chain withprobability transition matrix P and limiting...

This paper focuses on fraud detection in surveys using Socio-Economic Panel (SOEP) data as an example for testing newly methods proposed here. A statistical theorem referred to as Benford's Law states that in many sets of numerical data, the significant digits are not uniformly distributed, as...