Burhan Distribution with Structural Properties and Applications in Distinct Areas of Science
In this work a novel distribution has been explored referred as Burhan distribution. This distribution is obtained through convex combination of exponential and gamma distribution to analyse complex real-life data. The distinct structural properties of the formulated distribution have been derived and discussed. The behaviour of probability density function (pdf) and cumulative distribution function (cdf) are illustrated through different graphs. The estimation of the established distribution parameters are performed by maximum likelihood estimation method. Eventually the versatility of the established distribution is examined through two real life data sets.
D. V. Lindley, Fiducial distributions and Bayes’ theorem, Journal of Royal Statistical Society Series B 20 (1958), 102-107. https://doi.org/10.1111/j.2517-6161.1958.tb00278.x
M.E. Ghitany, B. Atieh and S. Nadarajah, Lindley distribution and its application, Mathematics and Computers in Simulation 78 (2008), 493-506. https://doi.org/10.1016/j.matcom.2007.06.007
H. Zakerzadeh and A. Dolati, Generalized Lindley distribution, Journal of Mathematical Extension 3(2) (2009), 13-25.
S. Nadarajah, H. S. Bakouch and R. Tahmasbi, A generalized Lindley distribution, Sankhya B 73 (2011), 331-359. https://doi.org/10.1007/s13571-011-0025-9
F. Merovci, Transmuted Lindley distribution, Int. J. Open Problems Compt. Math. 6 (2013), 63-72. https://doi.org/10.12816/0006170
R. Shanker, Akash distribution and its applications, International Journal of Probability and Statistics 4(3) (2015), 65-75.
S. Sen, S. Maiti and N. Chandra, The xgamma distribution: Statistical properties and application, Journal of Modern Applied Statistical Methods 15(1) (2016), 774-788. https://doi.org/10.22237/jmasm/1462077420
K.K. Shukla, Pranav distribution with properties and its applications, Biom. Biostat. Int. J. 7(3) (2018), 244-254. https://doi.org/10.15406/bbij.2018.07.00215
A. Aijaz, A Ahmad and R. Tripathi, Transmuted inverse Lindley distribution: Statistical properties and applications, Science, Technology and Development 9 (2020), 1-10.
A. Aijaz, M. Jallal, S. Qurat Ul Ain and R. Tripathi, The Hamza distribution with statistical properties and applications, Asian Journal of Probability and Statistics 8(1) (2020), 28-42. https://doi.org/10.9734/ajpas/2020/v8i130198
A. Aijaz, A Ahmad and R. Tripathi, Sauleh distribution with statistical properties and applications, Annal Biostat. and Biomed Appli. 4(1) (2020), 1-5.
T. Bjerkedal, Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli, American Journal of Epidemiology 72(1) (1960), 130-148. https://doi.org/10.1093/oxfordjournals.aje.a120129
D.N.P. Murthy, M. Xie and R. Jiang, Weibull Models, Wiley, 2004.
This work is licensed under a Creative Commons Attribution 4.0 International License.