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A New Probabilistic Model of Language Competition, Endangerment and Extinction

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2016
Authors:
Pritam Deka, Smriti Kumar Sinha
10.5120/ijca2016909958

Pritam Deka and Smriti Kumar Sinha. A New Probabilistic Model of Language Competition, Endangerment and Extinction. International Journal of Computer Applications 142(12):1-6, May 2016. BibTeX

@article{10.5120/ijca2016909958,
	author = {Pritam Deka and Smriti Kumar Sinha},
	title = {A New Probabilistic Model of Language Competition, Endangerment and Extinction},
	journal = {International Journal of Computer Applications},
	issue_date = {May 2016},
	volume = {142},
	number = {12},
	month = {May},
	year = {2016},
	issn = {0975-8887},
	pages = {1-6},
	numpages = {6},
	url = {http://www.ijcaonline.org/archives/volume142/number12/24945-2016909958},
	doi = {10.5120/ijca2016909958},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

Language endangerment is a growing concern in the world today. The speakers of the less dominant language in the society tends to get more inclined towards the more dominant language because of many reasons. Due to this, the speakers of the less dominant language decreases, eventually leading to the extinction of that languages. In this paper, a probabilistic mathematical model has been proposed to check language shift for the intergenerational language transmission between parents and their offspring based on some factors that has been taken. A Markov chain model is also defined to show the change in language transmission for grandparent and grandchild.

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Keywords

Language endangerment, Probability, Markov chain, Language shift, Absorbing state, Equilibrium vector, Transition matrix