Confidence intervals for demographic projections based on products of random matrices

DOI10.1016/0040-5809(85)90007-3zbMath0584.92015OpenAlexW2047327144WikidataQ43498751 ScholiaQ43498751MaRDI QIDQ1070963

Joel E. Cohen, Christopher C. Heyde

Publication date: 1985

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(85)90007-3

zbMATH Keywords

confidence intervalsstrong laws of large numbersage-structured populationscentral limit resultsa.s. convergence to a constant growth rateasymptotic normality of the growth ratedemographic projectionsfinite-sample estimatorsLarge-sample asymptotic estimatorslogarithms of age- class sizesproducts of stationary ergodic sequences of random matricesrandomly fluctuating vital rates

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Parametric tolerance and confidence regions (62F25) Central limit and other weak theorems (60F05) Non-Markovian processes: estimation (62M09) Strong limit theorems (60F15) Population dynamics (general) (92D25)

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Cites Work

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• Population dynamics in variable environments. I. Long-run growth rates and extinction
• Sets of nonnegative matrices with positive inhomogeneous products
• A central limit theorem for the subadditive process and its application to products of random matrices
• On mixing sequences of random variables
• Optimal estimation of the criticality parameter of a supercritical branching process having random environments
• On products of non-negative matrices
• Products of Random Matrices
• On multitype branching processes in a random environment