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Inference about the shape parameters of several inverse Gaussian distributions: testing equality and confidence interval for a common value

Mohammad Reza Kazemi () and Ali Akbar Jafari ()
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Mohammad Reza Kazemi: Fasa University
Ali Akbar Jafari: Yazd University

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 5, No 1, 529-545

Abstract: Abstract In this paper, we consider inference about the shape parameters of several inverse Gaussian distributions. At first, an approach is given to test the equality of these parameters based on modified likelihood ratio test. Then, five approaches are presented to construct confidence intervals for the common shape parameter. The performance of these approaches is studied using Monte Carlo simulation, and illustrated using a real data set.

Keywords: Confidence distribution; Maximum likelihood estimation; Modified signed log-likelihood ratio (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-018-0693-9

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