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Diagnostic techniques for the inverse Gaussian regression model

Amin, Muhammad (author)
Department of Statistics, University of Sargodha, Sargodha, Pakistan
Ullah, Muhammad Aman (author)
Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan
Qasim, Muhammad (author)
Jönköping University,IHH, Statistik
 (creator_code:org_t)
2020-06-12
2022
English.
In: Communications in Statistics - Theory and Methods. - : Taylor & Francis. - 0361-0926 .- 1532-415X. ; 51:8, s. 2552-2564
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • In this article, we propose some diagnostic techniques for the inverse Gaussian regression model (IGRM), which are appropriate for modeling the response variable that undertakes positively skewed continuous dataset. Moreover, two new diagnostic methods are mainly proposed for the IGRM, which named as covariance ratio (CVR) and Welsch?s distance (WD). The comparison of our proposed methods of influence diagnostics with the existing approaches has been made through Monte Carlo simulation under different factors. In addition, the benefit of the proposed methods is assessed using a real application. Based on the simulation and empirical application results, we observed that the performance of the proposed method is better than the existing methods for detection of influential observations.

Subject headings

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Keyword

Cook’s distance
CVR
DFFITS
IGRM
influential observation
WD

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ref (subject category)
art (subject category)

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