TY - JOUR
T1 - On the analysis of number of deaths due to Covid −19 outbreak data using a new class of distributions
AU - Sindhu, Tabassum Naz
AU - Shafiq, Anum
AU - Al-Mdallal, Qasem M.
N1 - Publisher Copyright:
© 2020 The Authors
PY - 2021/2
Y1 - 2021/2
N2 - In this article, we develop a generator to suggest a generalization of the Gumbel type-II model known as generalized log-exponential transformation of Gumbel Type-II (GLET-GTII), which extends a more flexible model for modeling life data. Owing to basic transformation containing an extra parameter, every existing lifetime model can be made more flexible with suggested development. Some specific statistical attributes of the GLET-GTII are investigated, such as quantiles, uncertainty measures, survival function, moments, reliability, and hazard function etc. We describe two methods of parametric estimations of GLET-GTII discussed by using maximum likelihood estimators and Bayesian paradigm. The Monte Carlo simulation analysis shows that estimators are consistent. Two real life implementations are performed to scrutinize the suitability of our current strategy. These real life data is related to Infectious diseases (COVID-19). These applications identify that by using the current approach, our proposed model outperforms than other well known existing models available in the literature.
AB - In this article, we develop a generator to suggest a generalization of the Gumbel type-II model known as generalized log-exponential transformation of Gumbel Type-II (GLET-GTII), which extends a more flexible model for modeling life data. Owing to basic transformation containing an extra parameter, every existing lifetime model can be made more flexible with suggested development. Some specific statistical attributes of the GLET-GTII are investigated, such as quantiles, uncertainty measures, survival function, moments, reliability, and hazard function etc. We describe two methods of parametric estimations of GLET-GTII discussed by using maximum likelihood estimators and Bayesian paradigm. The Monte Carlo simulation analysis shows that estimators are consistent. Two real life implementations are performed to scrutinize the suitability of our current strategy. These real life data is related to Infectious diseases (COVID-19). These applications identify that by using the current approach, our proposed model outperforms than other well known existing models available in the literature.
KW - Bayesian analysis
KW - Entropies
KW - Generalized log-exponential distribution
KW - Gumbel type-II model
KW - Stochastic order
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U2 - 10.1016/j.rinp.2020.103747
DO - 10.1016/j.rinp.2020.103747
M3 - Article
AN - SCOPUS:85098961145
SN - 2211-3797
VL - 21
JO - Results in Physics
JF - Results in Physics
M1 - 103747
ER -