Abstract: A process for producing a modified olefin polymer includes the steps of: (1) blending 100 parts by weight of an olefin polymer, 0.01 to 20 parts by weight of a polar group-carrying unsaturated compound, and 0.001 to 20 parts by weight of an organic peroxide, with one another, in a continuous extruder at a temperature T1 for a time S1, thereby forming a first blend; (2) blending the first blend in the continuous extruder at a temperature T2 for a time S2, thereby forming a second blend; and (3) blending the second blend in the continuous extruder at a temperature T3 for a time S3. T1, T2 and T3 have specific relationships to decomposition temperatures of the organic peroxide, and S1, S2 and S3 have specific relationships to half-lives of the organic peroxide.

Abstract: A process for producing an olefin-based copolymer, which comprises copolymerizing at least one olefin selected from the group consisting of ethylene and straight chain ?-olefins, and a vinyl compound (I) and a polyene (II) described below: Vinyl compound (I); a vinyl compound represented by the general formula CH2?CH—R, wherein the substituent R is a saturated hydrocarbon group and steric parameters Es and B1 of the substituent R are respectively ?1.64 or less and 1.53 or more; and Polyene (II); a compound having two or more of ethylene bonds and at least one combination of two ethylene bonds in which those are bonded to each other through at least three carbon atoms.

Abstract: A process for producing an olefin-based copolymer, which comprises copolymerizing at least one olefin selected from the group consisting of ethylene and straight chain ?-olefins, and a vinyl compound (I) and a polyene (II) described below: Vinyl compound (I); a vinyl compound represented by the general formula CH2?CH—R, wherein the substituent R is a saturated hydrocarbon group and steric parameters Es and B1 of the substituent R are respectively ?1.64 or less and 1.53 or more; and Polyene (II); a compound having two or more of ethylene bonds and at least one combination of two ethylene bonds in which those are bonded to each other through at least three carbon atoms.