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yh202109 committed Jul 13, 2024
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Assume that :math:`Y_{i1} \sim \mathcal{D}`.
For continuous :math:`Y_{i1}`, if we can assume that :math:`P(S_{i2}=0)=1`,
For continuous :math:`Y_{i1}`, if we can assume that :math:`P(S_{i1}=0)=1`,
then :eq:`eq_rank` can be simplified as :math:`R_{i1} = S_{i1}`.
For a given sample size :math:`n`, and :math:`r \in \{1, \ldots, n\}`, the PMF of :math:`R_{i1}` is
:math:`P(R_{i1} = r) = \frac{1}{n}`, which does not depend on :math:`\mathcal{D}` [4]_.
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