In this paper, we consider the estimation of the three determining parameters of the efficient frontier, the expected return, and the variance of the global minimum variance portfolio and the slope parameter, from a Bayesian perspective. Their posterior distribution is derived by assigning the diffuse and the conjugate priors to the mean vector and the covariance matrix of the asset returns and is presented in terms of a stochastic representation. Furthermore, Bayesian estimates together with the standard uncertainties for all three parameters are provided, and their asymptotic distributions are established. All obtained findings are applied to real data, consisting of the returns on assets included into the S&P 500. The empirical properties of the efficient frontier are then examined in detail.

An important task under current economic activity conditions is to find the interrelations between different economic indices and to study the character of these relationships.The purpose of this article is to establish a dependence of the export of goods and services from Ukraine on the expenditures for innovation activity.The study is based on data from the official internet resource of the State Statistics Services of Ukraine for 2000-2015. The method of correlation and regression analysis, graphical method, statistical and econometrical methods were used for the research.It was revealed that the export of goods and services is correlated with expenditures for the research and development and for the acquisition of other external knowledge. Multiple linear regressions were found for these relationships. The dynamics of the coefficients of values of the export of goods and services from Ukraine for UAH 1 spent on innovation activity in Ukraine over 2000-2015 was also investigated. Finally, the predictions for these coefficients were found for 2016-2017.The novelty of present research is in the quantitative research estimation of the dependence of the export of goods and services of innovation activity of Ukraine as well as the application of the iNZight software program for this analysis. The results received can be used in practice by managing export activity through factors that affect it. The dependence of other indices of the innovation activity of Ukraine on its foreign trade can be expanded in further studies.

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