ON THE PROPERTIES OF TOPP-LEONE KUMARASWAMYWEIBUL DISTRIBUTION WITH APPLICATIONS TO BIOMEDICAL DATA
DOI:
https://doi.org/10.33003/fjs-2022-0605-1188Keywords:
Statistical distributions, Topp-Leone Kumaraswamy-G family, Maximum order statistic, Minimum order statistic, Skewness, KurtosisAbstract
In this study, a new four-parameter lifetime distribution called the Topp Leone KumaraswamyWeibull distribution was derived using the Topp-Leone Kumaraswamy-G family of distributions. The model includes several important sub-models as special cases such as Topp-Leone exponentiatedWeibull,Topp Leone Weibull, exponentiatedWeibull and Weibull distributions. An expansion for the probability distribution function was carried out which was used to derive some of the mathematical properties. Some mathematical properties of the distribution were presented such as moments, moment generating function, quantile function, survival function, hazard function as well as mean, 1st quartile, median and 3rd quartile. The probability distribution function of order statistics of the Topp-Leone KumaraswamyWeibull distribution was obtained. Estimation of the parameters by maximum likelihood estimation method was discussed. Two real-life application of the distribution was presented and the analysis showed the fit and flexibility of the new distribution over some lifetime models considered. The analysis showed that the model is effective in fitting biomedical data.
References
Adeniran, S. A., Omolayo,M.I., Adenola,A. and Emetare.M.E.(2021) A short review of Queuing theory as deterministic tool in sustainable Tele-communication system. Artificial Intelligence –A.I.- global portal.
Afolalu,S.A.,Babaran,K.O.,Ongbali,S.O.,Abioye,A.H.,Adejuyigbe,S.B. and Ademola, A.(2019) Overview impact of application of Queuing theory model on productivity performance in a banking sector. Journal of Physics series J, Physics Conference series 1378, 032033
Asmissen, S.(1987)Applied probability and Queuing theory. New York, John Wiley and Sons publishers.
Boroukor, A.A.(1976) Stochastic processes in Queuing theory. New York, Springer Veley publishing.
Brandwuyn, A and Yow, Y.K.(1998) An approximation method for queue with blocking. American Journal of Operations Research. Volume 5 pp73-83
Chikwendu,C.R. and Okoye,E.O. (2016) Optimal design of a queuing system: A case study of mobile communication system in Nnamdi Azikiwe University Awka. International Journal of Science and Technology Volume 2 issue2.
Cidon I.,Guerin,R.,Khamisy,A and Sidi,M.(2022) Analysis of correlated queue in a communication system,. IEEE transaction Volume 39 Issue 2.
Dar drecht K.(1992) Encyclopedia of Mathematics. Volume 8. An Updated and annotated translation of the Soviet Mathematical Encyclopaedia,Kluwer Academic publishers.
Dash G.H. and Kajiji, N.M. (1998) Operations Research software Volume 1 Illinois, Irvin publishers Homwwood
Hamburg,M.(1991) Statistical Analysis for decision making , 5th Edition, Sandiego. Harcourt Basic Jovanovah publishers.
Harris,T.E.(1997) The theory of Branching Processes. Berlin. Springer publishers.
Kobayashi,H and Konhein, A.G. (1977) Queuing Models for Computer communication system analysis. IEEE Transactions on Communication. 25(1) : 2-29 IEE Explore.
Pankop,Z., Anthony,B.,James,B. Peter,D. and Zahir,T. (2017) Queuing application to communication system; control of traffic flow and loading. Springer Handbook of Engineering Statistics, Springer Handbook series pp 991-1022.
Taha, H.H.(2006) Operations Research-An introduction.7th Edition Delhi. Prentice- Hall of India private Ltd.
Trederich, S.H. and Geraid, J.L. (2008) Introduction to Operations Research; concepts and cases. 6th and 8th Edition. New Delhi. Tata McGraw-Hill publishing company Ltd.
Zhiqlang,X., Jin, L., Zi,L. and Yanphig, Z.(2015) Queue theory based Service – section communication bandwidth calculation for power distribution and utilization of smart grid. IEEE 8th International conference ieeexplore.ieee.org.
Published
How to Cite
Issue
Section
FUDMA Journal of Sciences
