Foundation item: The NSF (10671082) of China, the 985 program of Jilin University and the Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education.
Let G be a simple graph.An IE-total coloring f of G refers to a coloring of the vertices and edges of G so that no two adjacent vertices receive the same color.
The strong consistency of M estimator of regression parameter in linear model for φ-mixing samples is discussed by using the classic Rosenthal type inequality.