Asymptotic Behavior of First Passage Probabilities in the Perturbed Non-homogeneous Semi-Markov Systems
作者： P.-C. G. Vassiliou , Helen L. Tsakiridou
关键词: Applied mathematics 、 Markov systems 、 Perturbation (astronomy) 、 First-hitting-time model 、 Combinatorics 、 Limit of a sequence 、 Non homogeneous 、 Mathematics
摘要: In the present we study asymptotic behavior of sequence first passage probability matrices in a Perturbed Non-Homogeneous Semi-Markov System (P-NHSMS). We initially triple sequences and establish basic result which provides conditions under limit coinsides. Then provide some theorems expected probabilities visit state given interval with specified number transitions.
researchgate.net 
sci-hub.se 参考文章(28)
Sally McClean, Erin Montgomery, Estimation for Semi-Markov Manpower Models in a Stochastic Environment Semi-Markov Models and Applications. pp. 219- 227 ,(1999) , 10.1007/978-1-4613-3288-6_13
Panagiotis C. G. Vassiliou, Helena Tsakiridou, The Perturbed Non-Homogeneous Semi-Markov System Semi-Markov Models and Applications. pp. 253- 265 ,(1999) , 10.1007/978-1-4613-3288-6_16
D. J. Bartholomew, Social applications of semi-Markov processes Springer US. pp. 463- 474 ,(1986) , 10.1007/978-1-4899-0574-1_28
Sally McClean, Semi-Markov models for manpower planning Springer, Boston, MA. pp. 283- 300 ,(1986) , 10.1007/978-1-4899-0574-1_15
Roger A Horn, Topics in Matrix Analysis ,(2010)
P.-C. G. Vassiliou, M. A. Symeonaki, The perturbed non-homogeneous Markov system in continuous time Applied Stochastic Models and Data Analysis. ,vol. 13, pp. 207- 216 ,(1997) , 10.1002/(SICI)1099-0747(199709/12)13:3/4<207::AID-ASM314>3.0.CO;2-B
P.-C.G. Vassiliou, M.A. Symeonaki, The perturbed nonhomogeneous Markov system Linear Algebra and its Applications. ,vol. 289, pp. 319- 332 ,(1999) , 10.1016/S0024-3795(98)10025-3
P.-C. G. Vassiliou, The evolution of the theory of non-homogeneous Markov systems Applied Stochastic Models and Data Analysis. ,vol. 13, pp. 159- 176 ,(1997) , 10.1002/(SICI)1099-0747(199709/12)13:3/4<159::AID-ASM309>3.0.CO;2-Q
P.-C. G. Vassiliou, The non homogeneous semi-Markov system in a stochastic environment Journal of Applied Probability. ,vol. 30, pp. 206- 215 ,(1993) , 10.1007/978-1-4612-0749-8_14
Carl D. Meyer, Stephen L. Campbell, Generalized inverses of linear transformations ,(1979)