Actuarial Mathematics
Linear dependence refers to a situation in a vector space where a set of vectors can be expressed as a linear combination of other vectors in that set. This concept indicates that at least one vector in the set can be represented as a combination of the others, which leads to implications for the rank and dimensionality of associated structures. Understanding linear dependence is crucial when analyzing copulas and dependence structures, as it helps in determining relationships between random variables and their joint distributions.
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