Definition of Two Self-weights for Continuous Random Variable and Their Applications in Basic Statistics

摘要

This invention is for how to define two self-weights for continuous random variable based on sampling, how to SAC-normalize a skewed sampling distribution of a continuous random variable without changing the structure of the original measurement scale of the continuous random variable, how to infer representativeness of mathematical mean, and how to take the advantage of the two self-weights to do t-tests in a two-population comparison.

主权项

1. The measurements of the two self-weights, convex self-weight (denoted by C{ci}) and concave self-weight (denoted by R{ri}), defined for each random sample point xi of an original continuous random variable X to describe central tendency and dispersive tendency of the point xi in a sampling distribution, as shown in the computation framework in Table 1 based on the formulas from (7) to (19).