BibTeX:

@article{IJIRSTV7I3015,
     title={Markov Chain-The Most Invaluable Contribution of A.A. Markov towards Probability Theory and Modern Technology: A Historical Search},
     author={Akhil Goswami, Gautam Choudhury, Hemanta Kumar Sarmah and Anjana Begum},
     journal={International Journal for Innovative Research in Science & Technology},
     volume={7},
     number={3},
     pages={33--40},
     year={},
     url={http://www.ijirst.org/articles/IJIRSTV7I3015.pdf},
     publisher={IJIRST (International Journal for Innovative Research in Science & Technology)},
}

The Russian Mathematician Andrey Andreyevich Markov (1856–1922) contributed immensely towards the development of Applied Probability Theory. Markov extended certain sequences of dependent random variables to form special classes of ‘chains’ which, later on, are termed after his name as Markov Chains. The process, represented by models, in which the effect of past on future is summarized by a state which changes over time according to given probabilities is called a Markov Process. Through this paper, we are presenting a series of chronological events which led to the development of Markov chain. This might help the researchers of the current domain to get some sources to look in to for their future work. Applications of Markov chain in the fields of Biological Sciences, Physical Sciences and Modern Telecommunication System are also mentioned towards the end of the paper.

Markov Chain, Stochastic Process, Transition matrix