Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
New ridge estimators in the inverse Gaussian regression: Monte Carlo simulation and application to chemical data
Department of Statistics, University of Sargodha, Sargodha, Punjab, Pakistan.
Jönköping University, Jönköping International Business School, JIBS, Statistics.ORCID iD: 0000-0003-0279-5305
Department of Statistics, Bahauddin Zakariya University, Multan, Punjab, Pakistan.
Department of Statistics, Bahauddin Zakariya University, Multan, Punjab, Pakistan.
2022 (English)In: Communications in statistics. Simulation and computation, ISSN 0361-0918, E-ISSN 1532-4141, Vol. 51, no 10, p. 6170-6187Article in journal (Refereed) Published
Abstract [en]

In numerous application areas, when the response variable is continuous, positively skewed, and well fitted to the inverse Gaussian distribution, the inverse Gaussian regression model (IGRM) is an effective approach in such scenarios. The problem of multicollinearity is very common in several application areas like chemometrics, biology, finance, and so forth. The effects of multicollinearity can be reduced using the ridge estimator. This research proposes new ridge estimators to address the issue of multicollinearity in the IGRM. The performance of the new estimators is compared with the maximum likelihood estimator and some other existing estimators. The mean square error is used as a performance evaluation criterion. A Monte Carlo simulation study is conducted to assess the performance of the new ridge estimators based on the minimum mean square error criterion. The Monte Carlo simulation results show that the performance of the proposed estimators is better than the available methods. The comparison of proposed ridge estimators is also evaluated using two real chemometrics applications. The results of Monte Carlo simulation and real applications confirmed the superiority of the proposed ridge estimators to other competitor methods.

Place, publisher, year, edition, pages
Taylor & Francis, 2022. Vol. 51, no 10, p. 6170-6187
Keywords [en]
Inverse Gaussian ridge regression, Mean square error, Monte Carlo simulation, Multicollinearity, ridge estimators, Gaussian distribution, Inverse problems, Maximum likelihood estimation, Regression analysis, Effective approaches, Inverse Gaussian distribution, Maximum likelihood estimator, Minimum mean square error criterion, Performance evaluation criteria, Positively skewed, Real applications, Monte Carlo methods
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:hj:diva-50322DOI: 10.1080/03610918.2020.1797794ISI: 000555230100001Scopus ID: 2-s2.0-85088963698Local ID: HOA;intsam;1459574OAI: oai:DiVA.org:hj-50322DiVA, id: diva2:1459574
Available from: 2020-08-20 Created: 2020-08-20 Last updated: 2022-12-11Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Qasim, Muhammad

Search in DiVA

By author/editor
Qasim, Muhammad
By organisation
JIBS, Statistics
In the same journal
Communications in statistics. Simulation and computation
Probability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 137 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf