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On the Frequency Distribution of a Product
Author(s) -
Finney David J.
Publication year - 1993
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710350219
Subject(s) - product (mathematics) , production (economics) , distribution (mathematics) , unit (ring theory) , statistics , yield (engineering) , mathematics , econometrics , sugar beet , commodity , computer science , agronomy , economics , microeconomics , biology , market economy , mathematical analysis , materials science , geometry , mathematics education , metallurgy
Biometric interest often attaches to the product of two directly determined variables. In sugar production, for example, the yield of the desired commodity is the product of the total weight of cane or beet from unit area and the sugar content per unit weight. In crop and animal production, there are many analogous situations where experimental or other information may come from field plots or individual animals and the success of inferences or decisions is related to the frequency distribution of such a product. The voluminous published literature relating to frequency distributions appears to contain little that is directly relevant. It therefore seems worth placing on record results recently obtained for the third and fourth moments of a product in the simple case of both variables being Normally distributed.