Raja General Function for Mixture Distributions and Tariq Distribution with Properties and Applications
Raja General Function for Mixture Distributions
Keywords:
Life Time Distribution, General Function, Reliability and RGFAbstract
Lifetime distributions play an important role in applied sciences. Keeping this consideration in this paper introduced a general function for mixture distribution, say as Raja General Function and discussed its some properties. Further using RGF introduced new Tariq distribution and conferred statistical properties including mean, variance,m.g.f, rth raw moments, reliability measures, order statistics, and graphical representation of functions also observed better goodness of fit than other lifetime data distribution functions using real-life data applications.
References
D.V. Lindley. Fiducial distributions and Bayes’ theorem. Journal of the Royal Statistical Society. Series B, 20, 102- 107(1958).
M.E. Ghitany., B. Atieh, and S. Nadarajah. Lindley distribution and its Application. Mathematics Computing and Simulation. 78, 493 – 506 (2008).
H. Zakerzadeh, and A. Dolat. Generalized Lindley distribution. Journal of Mathematical extension. 3 (2), 13 – 25 (2009).
S. Nadarajah., H.S. Bakouch, and R.A. Tahmasbi. Generalized Lindley distribution, Sankhya Series B, 73, 331 – 359 (2011).
M. Ghitany., D. Al-Mutairi., N. Balakrishnan, and I. Al-Enezi. Power Lindley distribution and associated inference. Computational Statistics and Data Analysis. 64, 20 – 33 (2013).
A.M. Abouammoh., A.M. Alshangiti, and I.E. Ragab. A new generalized Lindley distribution. Journal of Statistical Computation and
Simulation. preprinthttp://dx.doi.org/10.1080/00949655.2014.995101 (2015).
R. Shanker. Akash distribution and Its Applications. International Journal of Probability and Statistics. 4(3), 65 – 75 (2015 a).
R. Shanker. Shanker distribution and Its Applications. International Journal of Statistics and Applications. 5(6), 338 – 348 (2015 b).
R. Shanker. The discrete Poisson-Shanker distribution, Communicated (2016 d).
R. Shanker. Aradhana distribution and Its Applications. International Journal of Statistics and Applications. 6(1), 23 – 34 (2016 e).
R. Shanker. Sujatha distribution and Its Applications, to appear in “Statistics in Transition new series, 17 (3) (2016 g).
R. Shanker. Amarendra distribution and Its Applications, American Journal of Mathematics and Statistics, 6(1), 44 – 56 (2016 i).
R. Shanker. Amarendra distribution and Its Applications, American Journal of Mathematics and Statistics, 6(1), 44 – 56 (2016 i).
R. Shanker. Shambhu Distribution and Its Applications. International Journal of Probability and Statistics 5(2): 48-63 (2016).
M. Shaked, and G. J. Shanthikumar. Stochastic Orders and Their Applications. Academic Press, New York., ( 1994 ).
Z. W. Birnbaum, and C.S. Saunders. Estimation for a family of life distributions with application to fatigue. Journal of Applied Probability, 6(2): 328-347 (1969).
E. J. Fuller., S. Frieman., J. Quinn., G. Quinn., and W. Carter. Fracture mechanics approach to the design of glass aircraft windows: A case study, SPIE Proc 2286, 419-430 (1994).
M.D. Nichols, and W.J. Padgett. A Bootstrap control chart for Weibull percentiles. Quality and Reliability Engineering International, 22, 141-151, (2006).