Structured probability statements
André Plante · Canadian Journal of Statistics · 1979
Abstract Structured probability statements are defined in an additive and reduced structured model. Under weak assumptions, an estimating set in a structured probability statement is a confidence region, but the corresponding structured probability may differ from the confidence coefficient. Elementary examples are given to show that this difference is an advantage when some estimating sets are empty or consist of the whole parameter space. A structured distribution (Plante 1979) is an extension of a probability measure closely related to structured probability statements.