A class of bivariate distributions including the bivariate logistic

A univariate logistic distribution can be specified by considering a suitable form for the odds in favor of a failure against survival. This concept is extended to the bivariate case and a class of distributions, indexed by a parameter of association, having given marginals is proposed. Some properties of the proposed class of distributions are studied.     

AGE-DEPENDENT LOGISTIC REGRESSION MODEL AND ITS APPLICATION

In the present paper we introduce the theory and algorithm of the unconditional and con-ditional age-dependent logistic regression model, which combines logistic regression analysisof case-control study with survival analysis of cases in the data, thus facilitating simulta-neous comparison analysis between cases and controls and among cases with different ages ofdisease onset under study. In age-dependent logistic regression analysis, estimated compoundrelative risk (CRR) and compound attributable risk (CAR)comprise the variance contribu-tions of risk factors to disease occurrence and the time of disease onset, thereby the roleplayed by various risk factors in etiology and etiopathology can be objectively evaluated.The current logistic regression model is only a particular case of age-dependent logistic re-gression theory neglecting the variations in onset age of diseases.