The statistical research of human dynamics on correspondence

Studies on temporal statistics of human behavior not only contribute to a profound understanding of complexity of socio-economic system and human beings, but they are also crucial for better resource allocation and pricing plans for phone companies, to improve inventory and service allocation in both online and street retail. In recent years, some statistical research on human correspondence has proven that the inter-event time distribution satisfies a power law, but the judgment for scaling exponent is still controversial. In this paper, we collect communications data from Sui Gu and Van Gogh and find the inter-event time distribution fits a power law with exponent 1.5, which is in accordance with Barabási´s conclusion. In addition, the inter-event time distribution about two men´s letters for 5 consecutive years also follows Power-law distribution with the same exponent.