• Corpus ID: 57213502

Evaluating first passage times in markov chains form the perspective of asymptotic and empirical information

@inproceedings{Gl2013EvaluatingFP,
  title={Evaluating first passage times in markov chains form the perspective of asymptotic and empirical information},
  author={Murat G{\"u}l and Salih Çelebioglu},
  year={2013}
}
First passage times underlie many stochastic processes in which the event, such as a chemical reaction,the firing of a neuron, or the triggering of a stock option, relies on a variable reaching a specified valuefor the first time. In this study, a transition matrix was estimated by taking into account the closingvalues of Istanbul Stock Exchange (ISE -100) index from 20.01.2009 to 18.01.2013 for discreteMarkov model. Empirical information regarding the first passage time was obtained by writing… 
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References

SHOWING 1-10 OF 22 REFERENCES
Passage Times for Markov Chains
TLDR
This book is a survey of work on passage times in stable Markov chains with a discrete state space and a continuous time and presents a unifying treatment of passage times, written in a systematic manner and based on modern developments.
Stochastic Processes in Physics and Chemistry
N G van Kampen 1981 Amsterdam: North-Holland xiv + 419 pp price Dfl 180 This is a book which, at a lower price, could be expected to become an essential part of the library of every physical
Introduction of Operations Research
TLDR
The Simplex Method is used for solving linear programming problems, including Pert-CPM dynamic programming game theory integer programming non-linear programming Markov chains queueing theory and forecasting Markovian decision processes and applications decision analysis simulation.
An introduction to probability theory
This classic text and reference introduces probability theory for both advanced undergraduate students of statistics and scientists in related fields, drawing on real applications in the physical and
Introduction to the Probability, American Mathematical Society, 2nd revised ed
  • United States of America,
  • 2006
Introduction to Stochastic Processes, Englewood Cliffs, New Jersey, 106-277
  • 1997
The Fokker-Planck Equation: Methods of Solution and Applications
...
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