Sensitivity analysis of discrete Markov chains via matrix calculus
暂无分享,去创建一个
[1] W. E. Roth. On direct product matrices , 1934 .
[2] P. Samuelson,et al. Foundations of Economic Analysis. , 1948 .
[3] John G. Kemeny,et al. Finite Markov Chains. , 1960 .
[4] E. Seneta,et al. On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains , 1965, Journal of Applied Probability.
[5] P. Schweitzer. Perturbation theory and finite Markov chains , 1968 .
[6] J. Meyer. The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains , 1975 .
[7] J. Diamond,et al. Ecology and Evolution of Communities , 1976, Nature.
[8] Marius Iosifescu,et al. Finite Markov Processes and Their Applications , 1981 .
[9] J. Kemeny. Generalization of a fundamental matrix , 1981 .
[10] J. Magnus,et al. Matrix differential calculus with applications to simple, Hadamard, and Kronecker products. , 1985 .
[11] J. Conlisk. Comparative statics for markov chains , 1985 .
[12] C. D. Meyer,et al. Using the QR factorization and group inversion to compute, differentiate ,and estimate the sensitivity of stationary probabilities for markov chains , 1986 .
[13] C. D. Meyer,et al. Sensitivity of the stationary distribution vector for an ergodic Markov chain , 1986 .
[14] E. Seneta,et al. Perturbation of the stationary distribution measured by ergodicity coefficients , 1988, Advances in Applied Probability.
[15] J. Magnus,et al. Matrix Differential Calculus with Applications in Statistics and Econometrics (Revised Edition) , 1999 .
[16] C. D. Meyer,et al. Derivatives and perturbations of eigenvectors , 1988 .
[17] E. Seneta. Sensitivity of finite Markov chains under perturbation , 1993 .
[18] C. D. Meyer. Sensitivity of the Stationary Distribution of a Markov Chain , 1994, SIAM J. Matrix Anal. Appl..
[19] C. D. Meyer,et al. Comparison of perturbation bounds for the stationary distribution of a Markov chain , 2001 .
[20] H. Caswell. Matrix population models : construction, analysis, and interpretation , 2001 .
[21] H. Caswell,et al. Spatio‐temporal variation in Markov chain models of subtidal community succession , 2002 .
[22] John N. Tsitsiklis,et al. Introduction to Probability , 2002 .
[23] A. Yu. Mitrophanov. Stability and exponential convergence of continuous-time Markov chains , 2003 .
[24] S. Kirkland. Conditioning properties of the stationary distribution for a Markov chain , 2003 .
[25] H. Caswell,et al. Markov Chain Analysis of Succession in a Rocky Subtidal Community , 2004, The American Naturalist.
[26] Ryan D. Edwards,et al. Inequality in Life Spans and a New Perspective on Mortality Convergence Across Industrialized Countries , 2005 .
[27] Jeffrey J. Hunter,et al. Stationary distributions and mean first passage times of perturbed Markov chains , 2005 .
[28] A. Y. Mitrophanov,et al. Sensitivity and convergence of uniformly ergodic Markov chains , 2005 .
[29] Mark Borodovsky,et al. SENSITIVITY OF HIDDEN MARKOV MODELS , 2005 .
[30] Jeffrey J. Hunter,et al. Mixing times with applications to perturbed Markov chains , 2006 .
[31] George A. F. Seber,et al. A matrix handbook for statisticians , 2007 .
[32] H. Caswell. Sensitivity analysis of transient population dynamics. , 2007, Ecology letters.
[33] H. Caswell. Perturbation analysis of nonlinear matrix population models , 2008 .
[34] Stephen J. Kirkland,et al. On optimal condition numbers for Markov chains , 2008, Numerische Mathematik.
[35] J. Wootton,et al. Treatment-based Markov chain models clarify mechanisms of invasion in an invaded grassland community , 2010, Proceedings of the Royal Society B: Biological Sciences.
[36] H. Caswell. Stage, age and individual stochasticity in demography , 2009 .
[37] C. Hunter,et al. Demography and dispersal: invasion speeds and sensitivity analysis in periodic and stochastic environments , 2011, Theoretical Ecology.
[38] J. Vaupel,et al. Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday , 2002, Demography.
[39] Hal Caswell,et al. Perturbation analysis of continuous‐time absorbing Markov chains , 2011, Numer. Linear Algebra Appl..
[40] J. Wilmoth,et al. Rectangularization revisited: Variability of age at death within human populations* , 1999, Demography.