Some Applications of Quasisymmetry
研究了拟对称性在匹配个体研究中的条件分布应用，以及利用可逆性与拟对称性的关系构造马尔可夫链可逆性和齐性检验。
We give three applications of quasisyrnmetry. The first two applications involve derived conditional distributions in a study involving matched individuals where the parameters associated with the matching are eliminated by appropriate conditioning. Extensions to matched triplets or to larger blocks lead to generalizations of quasisymmetry. The third application involves reversibility of Markov chains where the connexion between reversibility and quasisymmetry is exploited to construct tests for reversibility and tests for homogeneity of several reversible chains.