Tests and confidence bands for bivariate cumulative distribution functions
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...Methods to assign confidence limits to bivariate distributions have been described in the literature (e.g. Adler et al. 1990), but because sorting of the bivariate data is required, results may not be unique and the geologically important relationship between age and Hf isotope composition will be…...
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...Again, simulated values for JT+X can be found in  and the resulting critical values are in table 5....
...We can find in  simulated values of dt and -£ for various values of n and m; the values for our test for different values of n and m are shown in Table 5....
...In view of this two results, Adler, Brown and Lu  found, using simulation techniques, several critical values which we will make use of next....
...We define the following notation (as in ): \F — G\ = sup(F(a;) — G(x)), \F - G\~ = sup(G(x) - F(x)), and \F - G\ = max( |F - G\, \F - G\~) for x e 3?(2)...
...Again, we can use  to find d\ and - 1 ; these values for our test for several levels of significance and combinations of n and m are shown in Table 5....