59 citations · 109 across the 20 of their papers we have counts for
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Fundamental Flaws in Feller's Classical Derivation of Benford's Law
Arno Berger, Theodore P. Hill
Feller's classic text 'An Introduction to Probability Theory and its Applications' contains a derivation of the well known significant-digit law called Benford's law. More specific…
A Better Definition of the Kilogram
Theodore P. Hill, Ronald F. Fox, Jack Miller
This article reviews several recent proposed redefinitions of the kilogram, and compares them with respect to practical realizations, uncertainties (estimated standard deviations),…
How to Combine Independent Data Sets for the Same Quantity
Theodore P. Hill, Jack Miller
This paper describes a recent mathematical method called conflation for consolidating data from independent experiments that are designed to measure the same quantity, such as Plan…
Finite-state Markov Chains obey Benford's Law
Bahar Kaynar, Arno Berger, Theodore P. Hill +1
A sequence of real numbers (x_n) is Benford if the significands, i.e. the fraction parts in the floating-point representation of (x_n) are distributed logarithmically. Similarly, a…