Combat
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Gingivitis
发表于 2025-3-21 22:26:13
Understanding Markov Chains978-981-4451-51-2Series ISSN 1615-2085 Series E-ISSN 2197-4144
troponins
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Random Walks,In this chapter we consider our second important example of discrete-time stochastic process, which is a random walk allowed to evolve over the set . of signed integers without any boundary restriction. Of particular importance are the probabilities of return to a given state in finite time, as well as the corresponding mean return time.
心神不宁
发表于 2025-3-22 08:22:26
Discrete-Time Markov Chains,In this chapter we start the general study of discrete-time Markov chains by focusing on the Markov property and on the role played by transition probability matrices. We also include a complete study of the time evolution of the two-state chain, which represents the simplest example of Markov chain.
Lipoprotein(A)
发表于 2025-3-22 12:10:12
Long-Run Behavior of Markov Chains,This chapter is concerned with the large time behavior of Markov chains, including the computation of their limiting and stationary distributions. Here the notions of recurrence, transience, and classification of states introduced in the previous chapter play a major role.
medium
发表于 2025-3-22 15:13:01
Branching Processes,Branching processes are used as a tool for the modeling of population growth and mutation of entities such as living beings, genes, particles, etc., or the spread of epidemics. This chapter mainly deals with the computation of extinction probabilities for branching processes.
独白
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支形吊灯
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negotiable
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Probability Background,refer to Devore (Probability and Statistics for Engineering and the Sciences. Duxbury Press, sixth edition, .), Jacod and Protter (Probability Essentials. Springer, .), and Pitman (Probability. Springer, .) for additional probability material.
Melanocytes
发表于 2025-3-23 08:15:08
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