1. Its the likelihood of a domino effect occurring within a tranche of a CDO. If all the companies in a CDO are in the automobile industry, and one begins to fail and therefore is unable pay its debts, there is a good chance that it might be something in the automobile industry that is causing these companies to falter. Therefore if on company fails, the probability of others failing increases.
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If measurements are taken for two (or more) variable for a sample , then the correlation between the variables are the sample correlation. If the sample is representative then the sample correlation will be a good estimate of the true population correlation.
Evidence that there is no correlation.
They can be positive correlation, negative correlation or no correlation depending on 'line of best fit'
Yes it can be a correlation coefficient.
No, it cannot be a correlation coefficient.