Working Paper

A note on the coefficient of determination in models with infinite variance variables


Abstract: Since the seminal work of Mandelbrot (1963), alpha-stable distributions with infinite variance have been regarded as a more realistic distributional assumption than the normal distribution for some economic variables, especially financial data. After providing a brief survey of theoretical results on estimation and hypothesis testing in regression models with infinite-variance variables, we examine the statistical properties of the coefficient of determination in models with alpha-stable variables. If the regressor and error term share the same index of stability alpha

Keywords: Regression analysis;

Access Documents

File(s): File format is application/pdf http://www.federalreserve.gov/pubs/ifdp/2007/895/ifdp895.pdf

Authors

Bibliographic Information

Provider: Board of Governors of the Federal Reserve System (U.S.)

Part of Series: International Finance Discussion Papers

Publication Date: 2007

Number: 895