The contribution of this paper is to show how the balance of risk for various macro variables can be linked to inflation uncertainty. Inflation uncertainty is derived from uncertainty in the macro variables that are deemed to be important for future inflation. The paper focuses on the technical...

The contribution of this paper is to show how the balance of risk for various macro variables can be linked to inflation uncertainty. Inflation uncertainty is derived from uncertainty in the macro variables that are deemed to be important for future inflation. The paper focuses on the technical...

We show that there is a common mode of origin for the power laws observed in two different models: (i) the Pareto law for the distribution of money among the agents with random-saving propensities in an ideal gas-like market model and (ii) the Gutenberg–Richter law for the distribution of...

Let Z(τ,t) is the number of individuals at time τ having more than θ(t−τ) descendants at time t,tτ. Here θ(t) is some non-negative function. Limit distributions for Z(τ,t) when population evolves according to critical branching processes with time homogeneous immigration and...

The daily financial volume of transaction on the New York Stock Exchange and its day-to-day fluctuations are analysed with respect to power-law tails as well to their long-term trends. We also model the transition to a Gaussian distribution for longer time intervals, like months instead of days.