Abstract: We show that the entropy of the sum of independent random variables can greatly differ from the entropy of their difference. The gap between the two entropies can be arbitrarily large. This ...

1954 Topics mathematics, random numbers, probability, statistics, soviet, theorems, random variables, probability distributions, characteristic functions. general limit theorems, poisson distribution, ...

On a certain track team, the runners all take between 4 and 7 minutes to finish a mile. The probability density function for the length of time it takes a runner to ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Abstract: This work considers an information-theoretic characterization of the set of achievable rates, costs, and distortions in a broad class of distributed communication and function computation ...