If the data falls in the critical region, statisticians reject the null hypothesis in favor of the alternative. A one-tailed test in statistics ... value is less than 5%, the difference is significant ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Statistical mechanics provides a rigorous framework for understanding how the collective behaviour of microscopic constituents gives rise to macroscopic phenomena. This discipline underpins our ...

This paper is concerned with tests and confidence intervals for parameters that are not necessarily point identified and are defined by moment inequalities. In the literature, different test ...

Journal of Risk and Uncertainty, Vol. 27, No. 1 (August 2003), pp. 5-76 (72 pages) A substantial literature over the past thirty years has evaluated tradeoffs between money and fatality risks. These ...

Performing a timing analysis using conservative worst-case methods may force you to over design or reduce performance goals unnecessarily. Using statistical methods to quantify the risks associated ...