Some estimations of the minimal magnitudes of forbidden zones in experimental data

Suppose a random variable takes on values in an interval. The minimal distance between the expectation of the variable and the nearest boundary of the interval is considered in the present article. A question whether this distance can be neglected with respect to the standard deviation is analyzed as the main item. This minimal distance can determine the minimal magnitudes of non-zero forbidden zones and biases caused by noise for results of experiments. These non-zero forbidden zones and biases cause fundamental problems, especially in interpretations of experiments in behavioral economics and decision sciences.