On the Applications of Transmuted Inverted Weibull Distribution

1
Olayode Fatoki
Olayode Fatoki
2
Ogunde Adebisi Ade
Ogunde Adebisi Ade
3
Fatoki Olayode
Fatoki Olayode
4
Oseghale Osezuwa Innocent
Oseghale Osezuwa Innocent

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GJSFR Volume 17 Issue F6

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On the Applications of Transmuted Inverted Weibull Distribution Banner
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In this paper, we introduce a new distribution called transmuted inverted Weibull distribution (TIWD).The new distribution was used in analyzing bathtub failure rates lifetime data.We consider the standard transmuted inverted Weibull distribution (TIWD) that generalizes the standard inverted Weibull distribution (IWD), the new distribution has two shape parameters. The moments, median, survival function, hazard function, maximum likelihood estimators, leastsquares estimators, fisher information matrix and asymptotic confidence intervals were obtained. A real data set is analyzed and it is observed that the (TIWD) distribution can provide a better fitting than (IWD) distribution.

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References

  1. H Flair,E Elsalloukh,M Mendi,Milanova (2012). The exponentiated inverted Weibull Distribution.
  2. Govind Mudholkar,Deo Srivastava,Marshall Freimer (1995). The Exponentiated Weibull Family: A Reanalysis of the Bus-Motor-Failure Data.
  3. Govind Mudholkar,Alan Hutson (1996). The exponentiated weibull family: some properties and a flood data application.
  4. G Aryal,Ch Tsokos (2011). Transmuted Weibull Distribution: A Generalization of the Weibull probability distribution.
  5. W Shaw,I Buckley (2009). The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map.
  6. Faton Merovci (2013). Transmuted Rayleigh Distribution.
  7. Muhammad Khan,Robert King,Irene Hudson (2013). Transmuted Modified Weibull distribution: Properties and Application.
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  10. I Elbatal,L S. Diab,N A. Abdul Alim (2013). Transmuted Generalized Linear Exponential Distribution.
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  12. D Andrews,A Herzberg (1985). Data: A Collection of Problems from Many Fields for the Student and Research Worker.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Olayode Fatoki. 2017. \u201cOn the Applications of Transmuted Inverted Weibull Distribution\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F6): .

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GJSFR Volume 17 Issue F6
Pg. 25- 37
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 97K80
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v1.2

Issue date

November 8, 2017

Language

English

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In this paper, we introduce a new distribution called transmuted inverted Weibull distribution (TIWD).The new distribution was used in analyzing bathtub failure rates lifetime data.We consider the standard transmuted inverted Weibull distribution (TIWD) that generalizes the standard inverted Weibull distribution (IWD), the new distribution has two shape parameters. The moments, median, survival function, hazard function, maximum likelihood estimators, leastsquares estimators, fisher information matrix and asymptotic confidence intervals were obtained. A real data set is analyzed and it is observed that the (TIWD) distribution can provide a better fitting than (IWD) distribution.

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On the Applications of Transmuted Inverted Weibull Distribution

Ogunde Adebisi Ade
Ogunde Adebisi Ade
Fatoki Olayode
Fatoki Olayode
Oseghale Osezuwa Innocent
Oseghale Osezuwa Innocent

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