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Additional info for Differential- und Integralrechnung 2
E. area of regions) contained in the unit square, and are presented geometrically. The parameters of ~ are then extended onto the set of all equivalent pairs of distributions of X and Y. They are called grade parameters of any such pair. The so called normal concentration pattern is introduced as a reference model (which is also a grade parameter since, obviously, grade parameters can be numerical function - valued, etc). The normal concentration pattern enables easy visual comparison of the concentration curve for any pair (X; Y) with its normal counterpart.
Perhaps, it is the" expected," or familiar distribution where "things work," or where things are "in balance," or the distribution about which more is known . • Next, we calculate the concentrations (slopes) for each category in the distributions. The slopes are the ratios of the distribution proportions. 10. 15. Note: By convention, we put the reference distribution in the denominator. Each of the five corresponding categories has its own individual line segment and slope. 67 (Rounded). 22 F.
36 F. Ruland The diagonal represents the equal distribution line for gas amount and cylinder space. A "just to make sure" explanation: We call the diagonal curve the equal distribution curve. However, it is often referred to by the name uniform distribution curve. The" uniform" refers to the diagonal as being the graph of the cdf of the uniform distribution on interval (0,1). The "equal" refers to the equality between distributions, and not to equal (uniform) within distributions. " Let us keep the cylinder spaces in cells the same size, and vary the gas proportion amounts in each of the spaces.