Dr. Frank M. Weida, 86, professor emeritus of statistics at George Washington University, died Tuesday at his home in Port Republic, Md.

He joined the university in 1930 as associate professor of mathematics. Five years later, he was named professor of statistics and executive officer of the newly established department of statistics.

Dr. Weida became professor emeritus in 1957. From 1958 to 1962 he was professor emeritus of statistics in residence at the university.

Born in Allentown, Pa., he was a graduate of Kenyon College and received his doctorate from the University of Iowa.

Before coming to George Washington, he was a graduate assistant in mathematics at the University of Chicago, an instructor in mathematics at the University of Iowa, and an assistant professor of mathematics, first at Montana State College and then at Lehigh University.

The author of numerous articles in his field, Dr. Weida was a fellow of the Institute of Mathematics Statistics and a member of the American Statistical Association, the Royal Statistical Society, the Mathematical Association of America, the Americal Assocaition for the Advancement of Science, the Econometric Society and the Cosmos Club.

He is survived by his wife, Opal Dickson Weida, of the home; a son Charles Reitz Weida, with the Air Force in Montgomery, Ala.; a daughter, Mary Elizabeth Edmunds, of Los Alamitos, Calif., and five grandchildren.