International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

Frequency: 12

line decor
  
line decor

 Volume 9, Issue 7 (July 2022), Pages: 100-112

----------------------------------------------

 Original Research Paper

Modeling COVID-19 mortality data in four countries using odd generalized exponential Kumaraswamy-Inverse exponential distribution

 Author(s): Lamya A. Baharith *

 Affiliation(s):

 Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

  Full Text - PDF          XML

 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-8070-956X

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.07.011

 Abstract:

This study aims to introduce an optimum model to assess the COVID-19 death rate in Saudi Arabia, Canada, Italy, and Mexico. A novel five-parameter lifetime distribution termed the odd generalized exponential Kumaraswamy-inverse exponential distribution is presented by combining the Kumaraswamy-inverse exponential distribution with the odd generalized exponential generator. The theoretical features of the new distribution, as well as its reliability functions, moments, and order statistics are investigated. The odd generalized exponential Kumaraswamy-inverse exponential distribution is of special importance since its density has a variety of symmetric and asymmetric forms. Furthermore, the graphs of the hazard rate function exhibit various asymmetrical shapes such as decreasing, increasing, and upside-down bathtub shapes, and inverted J-shapes making The odd generalized exponential Kumaraswamy-inverse exponential distribution suitable for modeling hazards behaviors more likely to be observed in practical settings like human mortality, and biological applications. The proposed distribution parameters are estimated using the maximum likelihood approach and its effectiveness is demonstrated through both numerical study and applications to four COVID-19 mortality rate data sets. The odd generalized exponential Kumaraswamy-inverse exponential distribution provides the best fit to COVID-19 data compared to other extended forms of the Kumaraswamy and inverse exponential distributions which may attract wider applications in different fields.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Odd generalized exponential generator, Kumaraswamy generalized family, Inverse-exponential distribution, COVID-19 data

 Article History: Received 3 January 2022, Received in revised form 24 March 2022, Accepted 20 April 2022

 Acknowledgment 

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Baharith LA (2022). Modeling COVID-19 mortality data in four countries using odd generalized exponential Kumaraswamy-Inverse exponential distribution. International Journal of Advanced and Applied Sciences, 9(7): 100-112

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6 Fig. 7 Fig. 8 Fig. 9 

 Tables

 Table 1 Table 2 Table 3 Table 4 Table 5 Table 6 Table 7 Table 8 Table 9 Table 10 

----------------------------------------------    

 References (25)

  1. Aarset MV (1987). How to identify a bathtub hazard rate? IEEE Transactions on Reliability, 36(1): 106-108. https://doi.org/10.1109/TR.1987.5222310   [Google Scholar]
  2. Abouammoh AM and Alshingiti AM (2009). Reliability estimation of generalized inverted exponential distribution. Journal of Statistical Computation and Simulation, 79(11): 1301-1315. https://doi.org/10.1080/00949650802261095   [Google Scholar]
  3. Almetwally EM, Alharbi R, Alnagar D, and Hafez EH (2021). A new inverted Topp-Leone distribution: Applications to the COVID-19 mortality rate in two different countries. Axioms, 10(1): 25. https://doi.org/10.3390/axioms10010025   [Google Scholar]
  4. Almongy HM, Almetwally EM, Aljohani HM, Alghamdi AS, and Hafez EH (2021). A new extended Rayleigh distribution with applications of COVID-19 data. Results in Physics, 23: 104012. https://doi.org/10.1016/j.rinp.2021.104012   [Google Scholar] PMid:33728260 PMCid:PMC7952137
  5. Alzaatreh A, Lee C, and Famoye F (2013). A new method for generating families of continuous distributions. METRON, 71(1): 63-79. https://doi.org/10.1007/s40300-013-0007-y   [Google Scholar]
  6. Atem BAM (2018). On the odd Kumaraswamy inverse Weibull distribution with application to survival data. Ph.D. Dissertation, Jomo Kenyatta University of Agriculture and Technology, Juja, Kenya.   [Google Scholar]
  7. Atem BAM, Orwa GO, and Mbugua LN (2017). The odd Kumaraswamy inverse Weibull distribution with application to survival data. Advances and Applications in Statistics, 51: 309-335. https://doi.org/10.17654/AS051050309   [Google Scholar]
  8. Bantan RA, Chesneau C, Jamal F, and Elgarhy M (2020). On the analysis of new Covid-19 cases in Pakistan using an exponentiated version of the M family of distributions. Mathematics, 8(6): 953. https://doi.org/10.3390/math8060953   [Google Scholar]
  9. Bourguignon M, Silva RB, and Cordeiro GM (2014). The Weibull-G family of probability distributions. Journal of Data Science, 12(1): 53-68. https://doi.org/10.6339/JDS.201401_12(1).0004   [Google Scholar]
  10. Cordeiro GM and de Castro M (2011). A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81(7): 883-898. https://doi.org/10.1080/00949650903530745   [Google Scholar]
  11. Cordeiro GM, Afify AZ, Yousof HM, Pescim RR, and Aryal GR (2017). The exponentiated Weibull-H family of distributions: Theory and applications. Mediterranean Journal of Mathematics, 14(4): 1-22. https://doi.org/10.1007/s00009-017-0955-1   [Google Scholar]
  12. Eugene N, Lee C, and Famoye F (2002). Beta-normal distribution and its applications. Communications in Statistics-Theory and Methods, 31(4): 497-512. https://doi.org/10.1081/STA-120003130   [Google Scholar]
  13. Jones MC (2009). Kumaraswamy’s distribution: A beta-type distribution with some tractability advantages. Statistical Methodology, 6(1): 70–81. https://doi.org/10.1016/j.stamet.2008.04.001   [Google Scholar]
  14. Keller AZ, Kamath ARR, and Perera UD (1982). Reliability analysis of CNC machine tools. Reliability Engineering, 3(6): 449-473. https://doi.org/10.1016/0143-8174(82)90036-1   [Google Scholar]
  15. Kumaraswamy P (1980). A generalized probability density function for double-bounded random processes. Journal of Hydrology, 46(1–2): 79–88. https://doi.org/10.1016/0022-1694(80)90036-0   [Google Scholar]
  16. Lemonte AJ (2013). A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function. Computational Statistics and Data Analysis, 62: 149-170. https://doi.org/10.1016/j.csda.2013.01.011   [Google Scholar]
  17. Lin CT, Duran BS, and Lewis TO (1989). Inverted gamma as a life distribution. Microelectronics Reliability, 29(4): 619-626. https://doi.org/10.1016/0026-2714(89)90352-1   [Google Scholar]
  18. Mohamed H, Abo-Hussien AE, Mousa SA, and Ismail MM (2021). The analysis for the recovery cases of COVID-19 in Egypt using odd generalized exponential Lomax distribution. Journal of Advances in Mathematics and Computer Science, 36(5): 52-65. https://doi.org/10.9734/jamcs/2021/v36i530363   [Google Scholar]
  19. Mohammed AS and Yahaya A (2019). Exponentiated transmuted inverse exponential distribution with application. Annals of Statistical Theory and Applications, 2: 71-80.   [Google Scholar]
  20. Moors JJA (1988). A quantile alternative for kurtosis. Journal of the Royal Statistical Society: Series D (The Statistician), 37(1): 25-32. https://doi.org/10.2307/2348376   [Google Scholar]
  21. Oguntunde PE and Adejumo AO (2015). The generalized inverted generalized exponential distribution with an application to a censored data. Journal of Statistics Applications and Probability, 4(2): 223-230.   [Google Scholar]
  22. Oguntunde PE, Adejumo A, and Balogun OS (2014). Statistical properties of the exponentiated generalized inverted exponential distribution. Applied Mathematics, 4(2): 47-55.   [Google Scholar]
  23. Oguntunde PE, Adejumo A, and Owoloko EA (2017). Application of Kumaraswamy inverse exponential distribution to real lifetime data. International Journal of Applied Mathematics and Statistics, 56(5): 34–47.   [Google Scholar]
  24. Tahir MH, Cordeiro GM, Alizadeh M, Mansoor M, Zubair M, and Hamedani GG (2015). The odd generalized exponential family of distributions with applications. Journal of Statistical Distributions and Applications, 2: 1. https://doi.org/10.1186/s40488-014-0024-2   [Google Scholar]
  25. Yahaya A and Abba B (2017). Odd generalized exponential inverse-exponential distribution with its properties and application. Journal of the Nigerian Association of Mathematical Physics, 41: 297-304.   [Google Scholar]