The winners will be announced exclusively on MLB Network on Thursday, Nov. 3, in an hour-long telecast starting at 5 p.m. PT.
Weaver, who was 18-8 with a 2.41 ERA and started the All-Star Game for the American League, joins Detroit's Justin Verlander and Tampa Bay's James Shields as finalists for AL Outstanding Pitcher.
Trumbo, the Angels' leader in homers (29) and RBIs (87), is in competition with another Tampa Bay pitcher, Jeremy Hellickson, and Kansas City first baseman Eric Hosmer for the AL Outstanding Rookie award.
Trumbo led all AL rookies in slugging percentage (.477), doubles (31), total bases (257) and extra-base hits (61) as well as homers and RBIs.
The AL candidates for Outstanding Player are Toronto's Jose Bautista, Boston's Adrian Gonzalez and the Yankees' Curtis Granderson.
Two of the three Comeback Player candidates are former Angels: Bartolo Colon of the Yankees and Casey Kotchman of the Rays. Boston's Jacoby Ellsbury is the third candidate.
National League Outstanding Player finalists are Ryan Braun (Milwaukee), Matt Kemp (Dodgers) and Justin Upton (Arizona). The Outstanding Pitcher candidates are Roy Halladay (Philadelphia), Ian Kennedy (Arizona) and Clayton Kershaw (Dodgers).
Outstanding Rookie finalists in the NL are Freddie Freeman (Atlanta), Craig Kimbrel (Atlanta) and Vance Worley (Philadelphia).
Lance Berkman (St. Louis), Jose Reyes (Mets) and Ryan Vogelsong (San Francisco) are the NL Comeback Player finalists.
Finalists for Player of Year in the Majors are Gonzalez, Granderson and Verlander.
Nominees for the Marvin Miller Man of the Year Award, are Paul Konerko (White Sox), Adam Wainwright (St. Louis) and Michael Young (Texas).
Players Choice Awards have been presented annually since 1992 when Major Leaguers selected Dennis Eckersley and Barry Bonds as the AL and NL Outstanding Players, respectively. Balloting for the 2011 Players Choice Awards was conducted in mid-September under the supervision of accounting firm KPMG.
The 2011 Players Choice Award winners in all categories will designate charities to receive grants totaling $260,000 from the Major League Baseball Players Trust, the charitable foundation created and run by the players themselves.
The Players Trust raises funds and attention for issues affecting the needy and promotes community involvement. Since 1992, the Players Trust has recognized the outstanding on-field and off-field performances of Players Choice Awards winners by contributing more than $3 million to charities around the world. For additional information, please visit www.MLBPLAYERS.com or visit the Players Trust channel on YouTube at http://www.youtube.com/user/MLBPlayersTrust.
The 2011 Players Choice Awards Presented by 2K Sports will be hosted by MLB Network's Matt Vasgersian and Harold Reynolds.
Lyle Spencer is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.