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Figure 4 | Journal of Statistical Distributions and Applications

Figure 4

From: Chi-p distribution: characterization of the goodness of the fitting using Lp norms

Figure 4

Statistical test for the rate of fitting based on Lpnorms. (a) The dataset of Table 2 is co-plotted with four values of α p , that correspond to p → 1, p → ∞, and the two shape parameter values p1 ~ 1.7 and p2 ~ 2.5 for which the p-value is equal to 0.05. (b) The diagram of Lp mean values, α p  = α p (p). (c) The p-value as a function of p. We observe that for the Euclidean norm p = 2, the null hypothesis is rejected, i.e., the sunspot area ratio data are not invariant with the heliolatitude. However, if the examined data are expected to be invariant, and thus the null hypothesis to be accepted, then the norms between p1 and p2 (green) are rejected because lead to p-value < 0.05.

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