Bivariate Symmetry Tests With Censored Data

Perkins, Laura Lynn

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. . , Y ( 2n) ) In addition, S(t) can be expressed as S(t) = n Y, ,x max Y, . , : 1,.,= 1 L (i ) d ) 2n - j "(j) 2n - j + 1 J otherwise L (J) Thus, S(t) is a symmetric function with respect to the sample observations and therefore M, being a function of S(t), is also. □ Lemma 3.3.2: Conditional on n, , T has the same null 1 » x n distribution as the Wilcoxon signed rank, statistic.
Proof : Let ¥ = ( = (X 2i' X li ) • for i=l,2,...,ni and these pairs are also exchangeable.

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