Minimum Risk Point Estimation of Gini Index

Shyamal K. De () and Bhargab Chattopadhyay ()
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Shyamal K. De: National Institute of Science Education and Research, HBNI
Bhargab Chattopadhyay: Indian Institute of Information Technology Vadodara

Sankhya B: The Indian Journal of Statistics, 2017, vol. 79, issue 2, No 4, 247-277

Abstract: Abstract This paper develops a theory and methodology for estimation of Gini index such that both cost of sampling and estimation error are minimum. Methods in which sample size is fixed in advance, cannot minimize estimation error and sampling cost at the same time. In this article, a purely sequential procedure is proposed which provides an estimate of the sample size required to achieve a sufficiently smaller estimation error and lower sampling cost. Characteristics of the purely sequential procedure are examined and asymptotic optimality properties are proved without assuming any specific distribution of the data. Performance of our method is examined through extensive simulation study.

Keywords: Asymptotic efficiency; Ratio regret; Reverse submartingale; Sequential point estimation; Simple random sampling; U-statistics; Primary: 62L12; 62G05; Secondary: 60G46; 60G40; 91B82 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s13571-017-0140-3

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