Matrix Analysis of Interregional Population Growth and Distribution

In this introduction of the interregional dimension into the emerging theory of mathematical demography, the vehicle is matrix algebra and the focus is upon a simultaneous consideration of the spatial and temporal aspects of population processes. The author draws on the notational and analytical advantages conferred by matrix algebra to develop insights that are obscured or unobtainable with conventional methods of analysis. He then considers several of the more interesting theoretical and practical questions to which his approach leads. $5.00

[1]  Albert Madansky,et al.  Least squares estimation in finite Markov processes , 1959 .

[2]  On a theorem of Frobenius. , 1952 .

[3]  N. Keyfitz.  The intrinsic rate of natural increase and the dominant root of the projection matrix , 1965 .

[4]  H. Samelson.  On the Perron-Frobenius theorem. , 1957 .

[5]  A. Rogers.  Matrix Methods of Population Analysis , 1966 .

[6]  H. Theil,et al.  A Quadratic Programming Approach to the Estimation of Transition Probabilities , 1966 .

[7]  George G. Judge,et al.  On Estimating the Transition Probabilities of a Markov Process , 1965 .

[8]  A. Brauer.  A new proof of theorems of Perron and Frobenius on non-negative matrices: I. Positive matrices , 1957 .

[9]  Robert M. Solow,et al.  On the Structure of Linear Models , 1952 .

[10]  N. Keyfitz.  MATRIX MULTIPLICATION AS A TECHNIQUE OF POPULATION ANALYSIS. , 1964, The Milbank Memorial Fund quarterly.

[11]  P. H. Leslie.  On the use of matrices in certain population mathematics. , 1945, Biometrika.

[12]  I. Herstein,et al.  Non-Negative Square Matrices , 1952 .

[13]  ESTIMATING A MATRIX POPULATION GROWTH OPERATOR FROM DISTRIBUTIONAL TIME SERIES , 1967 .

[14]  Problems in Stable Population Theory. , 1962 .

[15]  G. Debreu,et al.  Nonnegative Square Matrices , 1953 .

[16]  A. Rogers,et al.  A Regression Analysis of Interregional Migration in California , 1967 .

[17]  G. A. Miller.  Finite markov processes in psychology , 1952 .

[18]  A. Rogers,et al.  A Markovian policy model of interregional migration , 1966 .

[19]  Note on Miller's “Finite Markov Processes in Psychology” , 1953 .

[20]  Leo A. Goodman,et al.  A further note on “Finite Markov Processes in Psychology” , 1953 .