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Weak Ergodicity

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Mathematical Demography

Part of the book series: Biomathematics ((BIOMATHEMATICS,volume 6))

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Abstract

Lopez’ proof of his ergodicity theorem is omitted. Its application is limited to matrices that are irreducible and primitive, whose meanings we discuss in the introduction to Parlett (1970, paper 29 below).

From Problems in Stable Population Theory, pp. 4–5, 66–68. Princeton: Office of Population Research.

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References

  1. Hajnal, J.: The ergodic properties of nonhomogeneous finite Markov chains. Proceedings of the Cambridge Philosophical Society 52, pp. 67ff. (1956).

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  2. Hajnal, J.: Weak ergodicity in nonhomogeneous Markov chains. Proceedings of the Cambridge Philosophical Society 54, pp. 233 ff. (1958).

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  3. Kemeny, J.G., Snell, J.L.: Finite Markov Chains. D. Van Nostrand and Company 1960.

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  4. Coale, A. J.: How the age distribution of a human population is determined. Cold Spring Harbor Symposia on Quantitative Biology 22, pp. 83 ff. (1957).

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© 1977 Springer-Verlag Berlin · Heidelberg

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Lopez, A. (1977). Weak Ergodicity. In: Mathematical Demography. Biomathematics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81046-6_28

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  • DOI: https://doi.org/10.1007/978-3-642-81046-6_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81048-0

  • Online ISBN: 978-3-642-81046-6

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