Bayesian analysis of Word frequency distribution in context of Indian literature

AUTHOR AND
AFFILIATION

VASTOSHPATI SHASTRI
DST-Centre of Interdisciplinary Mathematical Sciences Banaras Hindu University, Varanasi (India)
RAKESH RANJAN
DST-Centre of Interdisciplinary Mathematical Sciences Banaras Hindu University, Varanasi (India)
PRAVEEN KUMAR TRIPATHI
Department of Statistics, Banaras Hindu University, Varanasi (India)
S.K UPADHYAY,
Department of Statistics, Banaras Hindu University, Varanasi (India)

KEYWORDS:

Word frequency, Sanskrit text, Sichel distribution, ML estimator, Bayesian Inference, Mathematics Subject Classification: 62F15, 62G07, 62-07.

Issue Date:

May 2018

Pages:

283-290

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.30 – No.5

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DOI:

http://dx.doi.org/10.22147/jusps-A/300503

ABSTRACT:

This paper deals with the analysis of words from the text of an Indian author. The text of book is analysed and a frequency of noun words is formed. A suitable statistical model, Sichel distribution is fitted to the data and the fitting is found adequate. We have obtained maximum likelihood (ML) estimators and thereafter using flat prior posterior distribution is obtained. Using Metropolis algorithm we draw the posterior samples from which inference are drawn. In the discussion a European text is also compared and we have found that there is richness in Indian literature.

Copy the following to cite this Article:

V. Shastri; R. Ranjan; P. K. Tripathi; S. Upadhyay,, “Bayesian analysis of Word frequency distribution in context of Indian literature”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 5, Page Number 283-290, 2018


Copy the following to cite this URL:

V. Shastri; R. Ranjan; P. K. Tripathi; S. Upadhyay,, “Bayesian analysis of Word frequency distribution in context of Indian literature”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 5, Page Number 283-290, 2018

Available from: http://www.ultrascientist.org/paper/1474/bayesian-analysis-of-word-frequency-distribution-in-context-of-indian-literature


This paper deals with the analysis of words from the text of an Indian author. The text of book is analysed and a frequency of noun words is formed. A suitable statistical model, Sichel distribution is fitted to the data and the fitting is found adequate. We have obtained maximum likelihood (ML) estimators and thereafter using flat prior posterior distribution is obtained. Using Metropolis algorithm we draw the posterior samples from which inference are drawn. In the discussion a European text is also compared and we have found that there is richness in Indian literature.