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Dergiler / Türkiye İstatistik Derneği İstatistik Dergisi / 2021 / Cilt: 13 - Sayı: 1

Exponentiated Gompertz Exponential (Egoe) Distribution: Derivation, Properties and Applications

Adewara ADEMOLA
John ADEYEYE
Mundher KHALEEL
Olubisi AAKO
Sayfa
12–28
Yayın Tarihi
2021-01-02
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results also showed that the distribution can be used as an alternative model in modelling lifetime processes.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a new probability distribution called Exponentiated Gompertz Exponential distribution was introduced which can help researchers to model different types of data sets.
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Temel Bulgular & Veri:In proposed distribution we introduce a new shape parameter to Gompertz Exponential distribution, varied its tail weight such that it enhances its flexibility and performance.
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Sonuç & Katkı:The results also showed that the distribution can be used as an alternative model in modelling lifetime processes.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Exponentiated Gompertz Exponential distribution · maximum likelihood · means square error

Abstract

In this paper, a new probability distribution called Exponentiated Gompertz Exponential distribution was introduced which can help researchers to model different types of data sets. In proposed distribution we introduce a new shape parameter to Gompertz Exponential distribution, varied its tail weight such that it enhances its flexibility and performance. Furthermore, the maximum likelihood method was used in estimating the model’s parameters. Simulation method was used to investigate the behaviours of the parameters of the proposed distribution; the results showed that the mean square error and standard error for the chosen parameter values decrease as the sample size increases. The proposed distribution was tested on real life data, the results showed that EGoE performed better than the existing distribution in the literature and a strong competitor to other distributions of the same class. The results also showed that the distribution can be used as an alternative model in modelling lifetime processes.

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Bu Makaleye Atıf Yap

ADEMOLA, A., ADEYEYE, J., KHALEEL, M., AAKO, O. (2021). Exponentiated Gompertz Exponential (Egoe) Distribution: Derivation, Properties and Applications. Türkiye İstatistik Derneği İstatistik Dergisi, Cilt: 13 - Sayı: 1, 12–28. https://ajindex.com/articles/812553

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Kaynakça (2)

  1. Oguntunde, P. E, Khaleel, M. A, Ahmed, M. T, Adejumo, A. O and Odetunmibi, O. A. (2017). A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate. Journal of Modelling and Simulation in Engineering, https://doi.org/10.1155/2017/6043169.
  2. Adewara J. A., Adeyeye J. S. and Thron, C. P. (2019). Properties and Applications of the Gompertz Distribution. International Journal of Mathematical Analysis and Optimization: Theory and Applications, 2019(1), 443 – 454. Alizadeh, M., Cordeiro, G. M., Pinho, L. G. B and Ghosh, I. (2016). The Gompertz G family of distributions. Journal of Statistics Theory and Practice, 11(1), 179 – 207. El – Gohary, A., Alshamrani, A., and Naif Al – Otaibi, A. (2013). The Generalized Gompertz distribution. Applied Mathematics Modelling, 37(1 – 2), 13 – 24. Jafari A. A., Tahmasebi, S. and Alizadeh, M. (2014). The Beta Gompertz distribution. Revista Colombiana de Estadistica, 37(1), 141 – 158. Pollard, J. H. and Valkovics, E. J. (1992). The Gompertz distribution and its applications. Genus, 40(3), 15 – 28. Rama, S., Kamlesh, K. S., Ravi, S. & Tekie, A. L. (2017). A three – Parameter Lindley Distribution. American Journal of Mathematics and Statistics, 7(1), 15 – 26, DOI: 10.5923/j.ajms.20170701. Khaleel, M. A., Oguntunde, P. E., Ahmed, M. T., Ibrahim, N. A. & Loh, Y. F. (2020). The Gompertz Flexible Weibull Distribution and its Applications. Malaysian Journal of Mathematical Sciences, 14(1), 169–190.