Conditional Specification: Concepts and Theorems -- Exact and Near Compatibility in Distributions with Finite Support Sets -- Distributions with Normal Conditionals -- Conditionals in Exponential Families -- Other Conditionally Specified Families -- Improper and Nonstandard Models -- Characterizations Involving Conditional Moments -- Multivariate Extensions -- Estimation in Conditionally Specified Models -- Marginal and Conditional Specification in General -- Conditional Survival Models -- Applications to Modeling Bivariate Extremes -- Bayesian Analysis Using Conditionally Specified Models -- Conditional Specification Versus Simultaneous Equation Models -- Paella