Statistical Estimation of Portfolios for Dependent Financial Returns
1Department of Applied Mathematics, Waseda University, Tokyo, 169-8555, Japan
2Department of Statistics, Feng Chia University, Taichung 407, Taiwan
3Department of Mathematics, Niigata University, 8050, Ikarashi 2-no-cho, Nishi-ku, Niigata City, Niigata 950-2181, Japan
4Laboratory of Mathematics, Jikei University School of Medicine, 8-3-1, Kokuryo, Chofu City, Tokyo 182-8570, Japan
5School of Political Science and Economics, Waseda University, 1-6-1 Nishiwaseda, Shinjuku-ku, Tokyo 169-8050, Japan
6ECARES, Solvay Brussels School of Economics & Management, Free University of Bruxelles, Belgium
Statistical Estimation of Portfolios for Dependent Financial Returns
Description
The field of financial engineering has developed as a huge integration of economics, mathematics, probability theory, statistics, time series analysis, operation research, and so forth over the last decade. The construction of portfolios for financial assets is one of the most important issues in financial engineering. It is empirically observed that financial returns are non-Gaussian and dependent and is shown that the classical mean-variance portfolio estimator is not statistically optimal. Knowledge and understanding of these have led to the development of general time series modeling for financial returns, sophisticated optimal estimation theory, robust estimation methods, and various numerical approaches for portfolios (e.g., MCMC method).
We invite investigators to contribute original research articles as well as review articles that will stimulate the continuing efforts to understand the statistical portfolio estimation for non-Gaussian-dependent returns. We are particularly interested in articles proposing new models for financial assets, portfolio estimators, and methods of their calculations. Potential topics include, but are not limited to:
- Recent developments in statistical modeling for financial returns
- Advances in optimal statistical estimation for portfolios
- Role of rank-based statistics and skew-symmetric distribution
- Portfolio estimation under exogenous variables (e.g., wage inflation rate)
- Recent advances in empirical likelihood approach
- Higher-order asymptotic theory for portfolio estimation
- Role of time series factor models
- Bootstrap and MCMC approaches for portfolio estimators
- Levy processes and stochastic volatility models
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