  Since Claude Shannon founded Information Theory, information theory has
widely fostered other scientific fields, such as statistics, artificial
intelligence, biology, behavioral science, neuroscience, economics, and
finance. Unfortunately, actuarial science has hardly benefited from information
theory. So far, only one actuarial paper on information theory can be searched
by academic search engines. Undoubtedly, information and risk, both as
Uncertainty, are constrained by entropy law. Today's insurance big data era
means more data and more information. It is unacceptable for risk management
and actuarial science to ignore information theory. Therefore, this paper aims
to exploit information theory to discover the performance limits of insurance
big data systems and seek guidance for risk modeling and the development of
actuarial pricing systems.
