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 discussion paper resulted in a publication in the <I>Siam Journal on Matrix Analysis and Applications (2011). Volume 32, issue 3, pages 665-684.<P> A sequence of real numbers (<I>x_n</I>) is Benford if the significands, i.e. the fractionparts in the floating-point representation of (<I>x_n</I>), are distributed...</i></i></p></i>

A sequence of real numbers (<I>x_n</I>) is Benford if the significands, i.e. the fraction

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...

One can compare Econometrics with an Art which tries to minimize the lag between a quantitative law and a sample of data. Hence, the econometrics teaches us that before to built models, we must built data bank through strict procedures to prevent errors. Our paper presents classical methods to...