The Topp-Leone-Gompertz-Exponentiated Half Logistic-G Family of Distributions with Applications

Neo Dingalo; Broderick O. Oluyede; Fastel Chipepa

Ayuda

The Topp-Leone-Gompertz-Exponentiated Half Logistic-G Family of Distributions with Applications

Autores: Neo Dingalo, Broderick O. Oluyede, Fastel Chipepa
Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 46, Nº. 2, 2023, págs. 55-92
Idioma: inglés
DOI: 10.15446/rce.v46n2.105209
Títulos paralelos:
- La media familia logística exponencial de Topp-Leone-Gompertz de distribución con aplicaciones
Enlaces
- Texto completo
Resumen
- español
  Resumen Este artículo presenta e investiga una nueva familia de distribuciones denominada distribución Topp-Leone-Gompertz-exponenciada media logística-G (TL-Gom-EHL-G). Se derivan algunas propiedades matemáticas y estadísticas de esta familia de distribuciones. Para estimar y evaluar los parámetros del modelo se utiliza la técnica de estimación de máxima verosimilitud y se examina la consistencia de los estimadores de máxima verosimilitud mediante simulación de Monte Carlo. Se utilizaron aplicaciones a tres conjuntos de datos reales de diferentes áreas para demostrar la utilidad y versatilidad de la familia de distribuciones TL-Gom-EHL-G.
- English
  Abstract This paper introduces and investigates a new family of distributions called the Topp-Leone-Gompertz-exponentiated half logistic-G (TL-Gom-EHL-G) distribution. Some mathematical and statistical properties of this family of distributions are derived. To estimate and evaluate the model parameters, the maximum likelihood estimation technique is used, and the consistency of maximum likelihood estimators is examined using Monte Carlo simulation. Applications to three real data sets from different areas were used to demonstrates the usefulness and versatility of the TL-Gom-EHL-G family of distributions.
Referencias bibliográficas
- Aarset, M. V. (1987). 'How to identify a bathtub hazard rate'. IEEE Transactions on Reliability. 36. 106
- Aldahlan, M.,Afify, A. Z. (2018). 'The odd exponentiated half-logistic Burr XII distribution'. Pakistán Journal of Statistics and...
- Algarni, A.,M. Almarashi, A.,Elbatal, I.,S. Hassan, A.,Almetwally, E. M.,M. Daghistani, A.,Elgarhy, M. (2021). 'Type I half logistic Burr...
- Arnold, B. C.,Balakrishnan, N.,Nagaraja, H. N. (2008). A first course in order statistics. SIAM.
- Aryal, G. R.,Ortega, E. M.,Hamedani, G.,Yousof, H. M. (2017). 'The Topp-Leone generated Weibull distribution: regression model, characterizations...
- Benkhelifa, L. (2017). 'The Marshall-Olkin extended generalized Gompertz distribution'. Journal of Data Science. 15. 239
- Boshi, M.,Abid, S.,Al-Noor, N. (2020). 'Journal of Physics: Conference Series'. IOP Publishing.
- Castillo, E.,Hadi, A. S.,Balakrishnan, N.,Sarabia, J.-M. (2005). Extreme value and related models with applications in engineering and science....
- Chambers, J.,William, C.,Beat, K.,Paul, T. (1983). Graphical methods for data analysis. Wadsworth.
- Chamunorwa, S.,Makubate, B.,Oluyede, B.,Chipepa, F. (2021). 'The exponentiated half logistic-log-logistic Weibull distribution: Model,...
- Chipepa, F.,Oluyede, B. (2021). 'The Marshall-Olkin-Gompertz-G family of distributions: Properties and applications'. Journal of Nonlinear...
- Chipepa, F.,Oluyede, B.,Makubate, B. (2020). 'The odd generalized half-logistic Weibull-G family of distributions: properties and applications'....
- Chipepa, F.,Oluyede, B.,Wanduku, D. (2021). 'The exponentiated half logistic odd Weibull-Topp-Leone-G: Model, properties and applications'....
- Cordeiro, G. M.,Ortega, E. M.,Nadarajah, S. (2010). 'The Kumaraswamy Weibull distribution with application to failure data'. Journal...
- De Andrade, T. A.,Chakraborty, S.,Handique, L.,Gomes-Silva, F. (2019). 'The exponentiated generalized extended Gompertz distribution'....
- Eghwerido, J. T.,Nzei, L. C.,Agu, F. I. (2021). 'The alpha power Gompertz distribution: characterization, properties, and applications'....
- El-Bassiouny, A.,El-Damcese, M.,Mustafa, A.,Eliwa, M. (2017). 'Exponentiated generalized Weibull-Gompertz distribution with application...
- El-Gohary, A.,Alshamrani, A.,Al-Otaibi, A. N. (2013). 'The generalized Gompertz distribution'. Applied mathematical modelling. 37....
- El-Morshedy, M.,El-Faheem, A. A.,El-Dawoody, M. (2020). 'Kumaraswamy inverse Gompertz distribution: Properties and engineering applications...
- Elbatal, I.,Jamal, F.,Chesneau, C.,Elgarhy, M.,Alrajhi, S. (2018). 'The modified beta Gompertz distribution: theory and applications'....
- Gompertz, B. (1825). 'On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value...
- Hosking, J. R. M.,Wallis, J. R.,Wood, E. F. (1985). 'Estimation of the generalized extreme-value distribution by the method of probability-weighted...
- Jafari, A. A.,Tahmasebi, S.,Alizadeh, M. (2014). 'The beta-Gompertz distribution'. Revista Colombiana de Estadistica. 37. 141
- Khaleel, M. A.,Al-Noor, N. H.,Abdal-Hameed, M. K. (2020). 'Marshall Olkin exponential Gompertz distribution: Properties and applications'....
- Lenart, A.,Missov, T. I. (2016). 'Goodness-of-fit tests for the Gompertz distribution'. Communications in Statistics-Theory and Methods....
- Marinho, P. R. D.,Silva, R. B.,Bourguignon, M.,Cordeiro, G. M.,Nadarajah, S. (2019). 'AdequacyModel: An R package for probability distributions...
- Moakofi, T.,Oluyede, B.,Chipepa, F. (2021). 'Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with...
- Moakofi, T.,Oluyede, B.,Gabanakgosi, M. (2022). 'The Topp-Leone odd Burr III-G family of distributions: Model, properties and applications'....
- Nzei, L. C.,Eghwerido, J. T.,Ekhosuehi, N. (2020). 'Topp-Leone Gompertz distribution: Properties and applications'. Journal of Data...
- Oluyede, B.,Chamunorwa, S.,Chipepa, F.,Alizadeh, M. (2022). 'The Topp-Leone Gompertz-G family of distributions with applications'....
- Oluyede, B.,Chipepa, F.,Wanduku, D. (2021). 'Exponentiated half logistic-power generalized Weibull-G family of distributions: Model, properties...
- Oluyede, B.,Peter, P. O.,Ndwapi, N.,Bindele, H. (2022). 'The exponentiated Half-logistic Odd Burr III-G: Model, properties and applications'....
- Rényi, A. (1961). 'Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability. University of California Press....
- Roozegar, R.,Tahmasebi, S.,Jafari, A. A. (2017). 'The McDonald Gompertz distribution: Properties and applications'. Communications...
- Sengweni, W.,Oluyede, B.,Makubate, B. (2021). 'The exponentiated half-logistic odd Lindley-G family of distributions with applications'....
- Seo, J.-I.,Kang, S.-B. (2015). 'Notes on the exponentiated half logistic distribution'. Applied Mathematical Modelling. 39. 6491
- Shaked, M.,Shanthikumar, J. G. (2007). Stochastic orders. Springer. New York.
- Shama, M.,Dey, S.,Altun, E.,Afify, A. Z. (2022). 'The gamma-Gompertz distribution: Theory and applications'. Mathematics and Computers...
- Shannon, C. E. (1951). 'Prediction and entropy of printed English'. Bell System Technical Journal. 30. 50-64
- (2022). Team R: A language and environment for statistical computing. R Foundation for Statistical Computing. Vienna, Austria.