We provide some simulation results to assess the performance of the proposed model.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We introduce a new family of continuous distributions called the complementary geometric transmuted-G family, which extends the transmuted family proposed by Shaw and Buckley (2007).
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Temel Bulgular & Veri:The importance and exibility of the new family are illustrated by means of two applications to real data sets.
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Sonuç & Katkı:We provide some simulation results to assess the performance of the proposed model.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:2007 Verileri
⚙️Değişkenler:Alan Parametreleri
Abstract
We introduce a new family of continuous distributions called the complementary geometric transmuted-G family, which extends the transmuted family proposed by Shaw and Buckley (2007). Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, entropies, order statistics and probability weighted moments are derived. Two special models of the introduced family are discussed in detail. The maximum likelihood method is used for estimating the model parameters. The importance and exibility of the new family are illustrated by means of two applications to real data sets. We provide some simulation results to assess the performance of the proposed model.
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Bu Makaleye Atıf Yap
ALTUN, E., NADARAJAH, S., YOUSOF, H. M., M, G., CORDEİRO, C., NOFAL, Z. M., ÖZEL, G., Afify, A. Z. (2022). The complementary geometric transmuted-G family of distributions: model, properties and application. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1348–1374. https://ajindex.com/articles/529811
A fy A. Z., Alizadeh, M., Yousof, H. M., Aryal, G. and Ahmad, M. The transmuted geometric-G family of distributions: Theory and applications. Pakistan Journal of Statistics, 32, 139-160,(2016a).
A fy A. Z., Cordeiro G. M., Yousof, H. M., Alzaatreh, A. and Nofal, Z. M. The Ku-maraswamy transmuted- G family of distributions: Properties and applications. Journal of Data Science, 14, 245-270, (2016b).
A fy A. Z., Cordeiro G. M., Yousof, H. M., Saboor, A. and Ortega, E. M. M. The Marshall-Olkin additive Weibull distribution with variable shapes for the hazard rate. Hacettepe Journal of Mathematics and Statistics, forthcoming, (2016c).
A fy A. Z., Yousof, H. M. and Nadarajah, S. The beta transmuted- H family for lifetime data. Statistics and Its Interface, forthcoming, (2016d).
Al-Babtain, A., Fattah, A. A., Ahmed, A. N. and Merovci, F. The Kumaraswamy transmuted exponentiated modi ed Weibull distribution. Communications in Statistics-Simulation and Computation, forthcoming, 2015
Al-Hussaini, E. K. and Ahsanullah, M. Exponentiated Distributions. Volume 5, Springer, 2015.
Alexander, C., Cordeiro, G. M., Ortega, E. M. M. and Sarabia, J. M. Generalized beta-generated distributions. Computational Statistics and Data Analysis, 56, 1880-1897, 2012.
Alzaatreh, A., Lee, C. and Famoye, F. A new method for generating families of continuous distributions. Metron, 71, 63-79, 2013.
Ashour, S. K. and Eltehiwy M. A. Transmuted exponentiated modi ed Weibull distribution. International Journal of Basic and Applied Sciences, 2, 258-269, 2013.
Bourguignon, M., Silva, R. B. and Cordeiro, G. M. The Weibull- G family of probability distributions. Journal of Data Science, 12, 53-68, 2014.
Cakmakyapan, S. and Kadilar, G. O. A new customer lifetime duration distribution: The Kumaraswamy Lindley distribution. International Journal of Trade, Economics and Finance, 5, 441-444, 2014.
Cordeiro, G. M. and de Castro, M. A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81, 883-893, 2011.
Cordeiro, G. M., Ortega, E. M. M. and Lemonte, A. J. (2014). The exponential-Weibull lifetime distribution. Journal of Statistical Computation and Simulation, 84, 2592-2606, 2014.
Cordeiro, G. M., Ortega, E. M. M. and Nadarajah, S. The Kumaraswamy Weibull distri-bution with application to failure data. Journal of the Franklin Institute, 347, 1399-1429, 2010.
Elbatal, I. and Aryal, G. On the transmuted additive Weibull distribution. Austrian Journal of Statistics, 42,