Probability models characterized by generalized reversed lack of memory property

Asha Gopalakrishnan, Rejeesh C. John

A binary operator * over real numbers is said to be associative if $(x\ast y)\ast z=x\ast (y\ast z)$ and is said to be reducible if $x\ast y=x\ast z$ or $y\ast w=z\ast w$ if and only if $z=y$. The operation is sa…