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A) A PP-plot of a sample from a Student distribution with degrees of freedom 3; (b) a QQ-plot of the sample. The reference distribution is the standard Gaussian distribution. where p z = ( i - 1/2)/n. The graph of the line y = x (XI = 2 2 ) is also included in the plots. Note that Fn(z(%)) = i / n , where x ( ~<) . . thus the PP-plot is the plot of the points ( i / " , F ( Z ( , ) ) ), i = 1,.. . n Note also that F l 1 ( p )= inf{t E R : F n ( t ) 2 p} Thus the QQ-plot is the plot of the points (~-l(Pz),qz)), < ~ ( is ~the 1ordered sample, and I: X(1).

A) A rectangular spiral in the 2D Euclidean space; (b-c) a parallel level plot of the spiral. ) A parallel level plot of data z1, . . , zn E Rd, associated with a level mapping level(zi) E R, consist of d windows, where the kth window, k = 1,. . d, shows a scatter plor of points ( z f , level(zi)), i = 1,. . , n. We use the notation zi = (zi, . . , xt) E Rd. When the level mapping satisfies level(z,) # level(z,), for i # j , i, j = 1,. . , n, the unique identification of the observations across the windows is possible.

Have labeled the bars to show the correspondence with the points in the scatter plot. This kind of a graphical matrix may be called a bur matrix. 26 shows an other example of a scatter plot and a bar matrix. 7), and panel (b) shows a graphical bar matrix with a random permutation. The usefulness of a graphical matrix depends on the choice of an informative permutation of the rows and the columns of the matrix. ) (a) A scatter plot of 200 points when the k-means clustering algorithm has been applied to label the data points.

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A 2. 79 competitive online algorithm for two processor real-time systems with uniform value density by Qifan Y.

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