Grain production is one of the Ukrainian agro-industrial complex main branches. An indicator of the grain production efficiency is its profitability. It is characterized by significant annual fluctuations that induce risk. Redistribution of existing grain crops areas taking into consideration their profitability can bring to increase of production efficiency. The paper observes Markowitz’s opti...

A general analytical scheme for computing the n-fold convolution of exponentialsum distribution functions has been developed in this paper. The n-fold convolution is first expressed by multiple sums of recursive integrals. These recursive integrals are then reconstructed with a series of delta functions to avoid separations of integrations. Part of the recursive integrals has been solved analyt...

Age–period–cohort (APC) models have been widely used in the analysis of incidence and mortality data. Bayesian APC models, in which multivariate Gaussian priors are incorporated on age, period and cohort effects, can evade the identifiability problem. Inference with integrated nested Laplace approximations (INLA) has recently been a useful tool. An application of the Bayesian APC models with IN...

1 Nonlinear Causality, with Applications to Liquidity and Stochastic Volatility Abstract The conditional Laplace transform is often easier to use in financial data analysis than the conditional density. This paper characterizes nonlinear causality hypotheses for models based on the conditional Laplace transform and provides interpretations of the linear and quadratic causality in this framework...