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ERIC Number: EJ850662
Record Type: Journal
Publication Date: 2005-Nov
Pages: 12
Abstractor: As Provided
Reference Count: 7
ISBN: N/A
ISSN: ISSN-1069-1898
Sums and Products of Jointly Distributed Random Variables: A Simplified Approach
Stein, Sheldon H.
Journal of Statistics Education, v13 n3 Nov 2005
Three basic theorems concerning expected values and variances of sums and products of random variables play an important role in mathematical statistics and its applications in education, business, the social sciences, and the natural sciences. A solid understanding of these theorems requires that students be familiar with the proofs of these theorems. But while students who major in mathematics and other technical fields should have no difficulties coping with these proofs, students who major in education, business, and the social sciences often find it difficult to follow these proofs. In many textbooks and courses in statistics which are geared to the latter group, mathematical proofs are sometimes omitted because students find the mathematics too confusing. In this paper, we present a simpler approach to these proofs. This paper will be useful for those who teach students whose level of mathematical maturity does not include a solid grasp of differential calculus. (Contains 13 tables.)
American Statistical Association. 732 North Washington Street, Alexandria, VA 22314. Tel: 703-684-1221; Tel: 888-231-3473; Fax: 703-684-2037; e-mail: asainfo@amstat.org; Web site: http://www.amstat.org/publications/jse
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A