Through numerical analysis of different proposed metrics, this document shows that a modified version of The Mielke Index is preferable to the others. This index, cited here, is adimensional, limited, symmetrical, easy to calculate and directly interpretable in relation to the commonly used pearson coefficient of correlation r. This index can in principle be considered as a natural extension to r that regulates the downward r value depending on the distortion that occurs in the data. Systematic additive and proportional distortions can interact. To illustrate this situation, column c) in Figure 2 shows the value between the index calculated for 2 vectors, with a given combination of distortions minus the value of the index calculated from the same vectors without bias. This only appears for a given correlation of. This graphical representation can help illustrate the sensitivity of an index for small changes in b and m. Most indices react in the same way, with the notable exception of HQ. The AC Ji-Gallo index may be higher (i.e.
more compliance) with a combination of small distortions than without any bias. This is then considered an acceptance threshold for the various contractual indices. Extensive financial methods are required for calculating market indicative value, price positions and the day-to-day management of indexed contracts. KYOS specializes in this area with its software products KYOS Analytical Platform and KySwing. The 100% differences have the same meaning as for the different agreements. The spatial representation of the temporal correspondence between the time series from two Earth observation satellites, according to different compliance metrics described in the text, calculated and illustrated by statistical software r. (version 3.2.1, www.R-project.org/). Figure 2 shows how the four metrics analyzed for the generated datasets are cut based on the additive and multiplier distortion imposed and the initial correlation between X and Y. A first note about the plots in columns a) and b) in Figure 2 is that there is an intersection point of the iso lines for all metrics. It is assumed that metrics represent a correct decrease in compliance when there is an increased systematic disturbance for all types of correlations. Crossing these lines of iso-smene interference means that this hypothesis is violated. In the case of a slight b shift or a resizing with m, abnormal behavior can also be observed at moderate correlation values (p.B.
r between 0.5 and 0.7). For them, all lines intersect only at . This may be considered less uncomfortable, as negative index values could be used to assess how many records match in size, although they do not coincide in the warning signs. However, this adds ambiguity to the interpretation of the index, which is not desirable.