Estimation of Actual Proportion of Loanwords in a Language

Kalyan Joshi () and M. B. Rajarshi
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Kalyan Joshi: Savitribai Phule Pune University
M. B. Rajarshi: Savitribai Phule Pune University

Sankhya B: The Indian Journal of Statistics, 2017, vol. 79, issue 1, No 3, 60-75

Abstract: Abstract We suggest a modification of Probability Proportional to Size With Replacement (PPSWR) sampling method to estimate the actual proportion of loanwords in a language. When the proposed modification to PPSWR sampling can be implemented, the modification leads to an estimator which performs better than the estimator in a PPSWR sampling design. Under the assumptions that some words have a relatively very high frequency whereas most of the words have low frequency, we show that the estimator under the PPSWR scheme is better than the estimator under the Simple Random Sampling Without Replacement (SRSWOR). The suggested procedure has been applied to estimate the usage-based (actual) proportion of the Persian and Arabic loanwords in contemporary Marathi.

Keywords: Confidence interval; Marathi; Persian-Arabic loanwords; Probability proportional to size sampling; Simple random sampling without replacement; Zipf’s law; Primary 62; Secondary 62D05 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13571-016-0127-5

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