In the first part of this paper, I have tried, by an examination of certain words, the ways in which they are used, their tone, and the contexts in which they occur, to infer some unknown details of earlier Roman marriage ceremonies. In the second part, I have tried to suggest solutions to two unsolved problems in Latin literature, making use of ideas from the first part and tracing further the history of certain Roman ideals of marriage, which seem immediately relevant to the solution of these problems.
SummaryAlmost all common discrete distributions are related to the Polya-Eggenberger distribution (PED), either ita special cases or ita limiting distributions. We demonstrate that the sum of n binary random variables Yj (j= 1, ..., n) taking values of 0 or 1 follows a P E D if and only if the conditional expectation of Ya with rsapect to Y1, ..., Ya-1 is a linear fanotion of Yi, ..., Yr-1, the expectatione E Yj (j= 1, ..., n) are the same, and for each pair T i and Yj, the correlations are the same.The maximum likelihood estimation of the parameters is studied. In most cases, the maximum likelihood equations can be solved by the Newton-Rapheon iterative procedure; in a special case. the maximum likelihood parameter mtimates can be expreased as a function of the observed frequencies; and in some cnses, the maximum likelihood equatione are not soluble. Even when the maximum likelihood equations are soluble, the solutions may not be permissible. We propose a method to handle this problem.For testing the hypothesis that the parameter is zero, the Wald statistic is used; for model selection, the likelihood ratio test is used. The hypothesis testa are described by two data examples and applications of the P E D to data analysis are demonstrated.
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