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Backward Population Projection by a Generalized Inverse

Thomas Nall Eden GrevilleUnited States. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.Nathan Keyfitz

出版	University of Wisconsin - Madison
URL	http://books.google.com.hk/books?id=PJTzGgAACAAJ&hl=&source=gbs_api

註釋POPULATION Projection by a Generalized Inverse. Technical summary rept., SGreville, T.N.E. ;Keyfitz, Nathan ;MRC-TSR-1353DA-31-124-ARO(D)-462*Population, *Mathematical prediction, *Matrices(Mathematics), Distribution functions, Projection, Estimates, EigenvectorsThe Leslie propulation projection matrix may be used to project forward in time the age distribution or age-sex distribution of a population. As it is a singular matrix, it does not have an inverse, and so it is not clear that there is a corresponding procedure for backward projection. In terms of the eigenvalues and eigenvectors of the Leslie matrix, certain generalized inverses are constructed that can sometimes be used advantageously for backward projection. (Author).