The Annals of Applied Probability, Vol. 9, No. 4 (Nov., 1999), pp. 1202-1225 (24 pages) This paper analyzes the performance of importance sampling distributions for computing expectations with respect ...

Goodness-of-fit testing forms a fundamental pillar in statistical methodology, providing robust tools to assess whether observed data conform to a proposed probability distribution. These tests are ...

When an experiment is reproduced we almost never obtain exactly the same results. Instead, repeated measurements span a range of values because of biological variability and precision limits of ...

Example 1: The population from which samples are selected is {1,2,3,4,5,6}. This population has a mean of 3.5 and a standard deviation of 1.70783. The next display shows a histogram of the population.

The Central Limit Theorem is a statistical concept applied to large data distributions. It says that as you randomly sample data from a distribution, the means and standard deviations of the samples ...

J.B. Maverick is an active trader, commodity futures broker, and stock market analyst 17+ years of experience, in addition to 10+ years of experience as a finance writer and book editor. T-tests are ...

When particles in a sample are the same size, one particle can be measured to report the result. If the sample has a narrow distribution, such as 10-25 µm, then measurement of just a few particles can ...