Definitions
The processes of the biopsy are a special discrete state of the continuous time Markov process, or is called a continuous time Markov chain. The particularity of the biodendure process is that the state is limited or a number, and the state change of the system must be done between adjacent states. The ultimate solution or steady solution of the randomation process is very simple.
set {n (t)}, T ≥ 0} is a random process. If the probability distribution of n (t) has the following properties;
(1) assumes that n (t) = n, then the time Time Terrier from time to the next customer arrives at the negative index of the parameter λn Distribution, n = 0, 1, 2, ...
(2) assume N (t) = n, then from time t smoothly from the next customer to the negative index of the parameter μn Distribution, n = 0, 1, 2, ...
(3) There is only one customer to arrive or leave.
is called {n (t) t ≥ 0} as a biodeterior process.
Classification example
The process is that each state shift occurs between the neighboring state between the homogeneous martial arts chain, and there is discrete time for the growth process. In the case of a continuous time, it is only three cases in the
state of the state: plus 1, minus 1, not changed and 0.
The main diagonal and the upper and lower parallel lascles have a non-zero element, and all other elements are 0
if it is a limited state, the last state M, only Can "destroy" can't be "born".
Related books
"Biography Process and Malchet Chain", the author is Mr. Wang Yukun, "Cultural Revolution" after publishing.
This book describes the basic theory of the ribbon and the Markov chain and introduces some of the research progress in recent years. Chapter 1 Overview of the general concept of random processes: Chapter 4 tells Markov Chain; fifth, sixth chapter, the basic theory and construction of the graduate process, mainly the probability method; seventh, eight chapter, the study of the study of the two-bilateral biopsy process, mainly the method of analytical. It also discusses the connection between two methods. The following five chapters are basically my country's probability theory workers, especially the author's own research results. This book is available for teachers and students of science and technology workers and universities.