Interval Estimation for Topp-Leone Generated Family of Distributions based on Dual Generalized Order Statistics

References

• Aboeleneen, Z. (2010). Inference for Weibull distribution under generalized order statistics. Mathematics and Computers in Simulation, 81(1), 26–36.
   Web of Science ®Google Scholar
• Ahsanullah, M. (1995). Record statistics. Hauppauge, NY: Nova Science Publishers.
   Google Scholar
• Al-Hussaini, E. K., & Abd, E.-B. A. (2003). On Bayesian predictive distributions of generalized order statistics. Metrika, 57, 165–176.
   Web of Science ®Google Scholar
• Al-Shomrani, A., Arif, O., Shawky, A., Hanif, S., & Shahbaz, M. Q. (2016). Topp–Leone family of distributions: Some properties and application. Pakistan Journal of Statistics and Operation Research, 12, 443–451.
   Web of Science ®Google Scholar
• Anwar, Z., Gupta, N., Khan, M. A. R., & Jamal, Q. A. (2018). Recurrence relations for marginal and joint moment generating functions of Topp-Leone exponential distribution based on record values and its characterization. Journal of Modern Applied Statistical Methods (Accepted).
   Web of Science ®Google Scholar
• Arnold, B., Balakrishnan, N., & Nagaraja, H. (1998). Records. New York, NY: John Wiley and Sons.
   Google Scholar
• Arshad, M., & Baklizi, A. (2018). Estimation of common location parameter of two exponential populations based on records. Communications in Statistics-Theory and Methods, 1–8.
   Web of Science ®Google Scholar
• Arshad, M., & Jamal, Q. A. (2018). Statistical inference for Topp-Leone generated family of distributions based on records. Journal of Statistical Theory and Applications (Accepted).
   Google Scholar
• Arshad, M., & Jamal, Q. A. (2019). Parametric and reliability estimation of the Kumaraswamy generalized distribution based on record values. Journal of Modern Applied Statistical Methods (Accepted).
   Google Scholar
• Asgharzadeh, A., Valiollahi, R., & Raqab, M. Z. (2017). Estimation of Pr (Y < X) for the two-parameter generalized exponential records. Communications in Statistics-Simulation and Computation, 46(1), 379–394.
   Web of Science ®Google Scholar
• Baklizi, A. (2017). Preliminary test estimation of the threshold in the two-parameter exponential distribution based on records and minimax regret significance levels. American Journal of Mathematical and Management Sciences, 36, 196.
   Google Scholar
• Burkschat, M., Cramer, E., & Kamps, U. (2003). Dual generalized order statistics. Metron, 61(1), 13–26.
   Google Scholar
• Chandler, K. (1952). The distribution and frequency of record values. Journal of the Royal Statistical Society, Series B (Methodological), 14, 220–228.
   Web of Science ®Google Scholar
• El Fotouh, S. A., & Nassar, M. (2011). Estimation for the parameters of the Weibull extension model based on generalized order statistics. International Journal of Contemporary Mathematical Sciencess, 6, 1749–1760.
   Google Scholar
• Genc, A. I. (2013). Estimation of P(X > Y) with Topp–Leone distribution. Journal of Statistical Computation and Simulation, 83, 326–339.
   Web of Science ®Google Scholar
• Ghitany, M., Kotz, S., & Xie, M. (2005). On some reliability measures and their stochastic orderings for the Topp-Leone distribution. Journal of Applied Statistics, 32, 715–722.
   Web of Science ®Google Scholar
• Gupta, R. C., & Gupta, R. D. (2007). Proportional reversed hazard rate model and its applications. Journal of Statistical Planning and Inference, 137, 3525–3536.
   Web of Science ®Google Scholar
• Jaheen, Z. F. (2005). Estimation based on generalized order statistics from the Burr model. Communications in Statistics—Theory and Methods, 34, 785–794.
   Web of Science ®Google Scholar
• Kamps, U. (1995). A concept of generalized order statistics. Stuttgart, Germany: Teubner.
   Google Scholar
• Khan, M. J. S., & Arshad, M. (2016). UMVU estimation of reliability function and stress–strength reliability from proportional reversed hazard family based on lower records. American Journal of Mathematical and Management Sciences, 35, 171–181.
   Google Scholar
• Khan, M. J. S., & Iqrar, S. (2018). On moments of dual generalized order statistics from Topp-Leone distribution. Communications in Statistics-Theory and Methods, 1–14.
   Google Scholar
• Nadarajah, S., & Kotz, S. (2003). Moments of some J-shaped distributions. Journal of Applied Statistics, 30, 311–317.
   Web of Science ®Google Scholar
• Pawlas, P., & Szynal, D. (2001). Recurrence relations for single and product moments of lower generalized order statistics from the inverse Weibull distribution. Demonstratio Math, 34, 353–358.
   Google Scholar
• R Core Team. (2015). R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing.
   Google Scholar
• Rezaei, S., Sadr, B. B., Alizadeh, M., & Nadarajah, S. (2017). Topp–Leone generated family of distributions: Properties and applications. Communications in Statistics-Theory and Methods, 46, 2893–2909.
   Web of Science ®Google Scholar
• Topp, C. W., & Leone, F. C. (1955). A family of J-shaped frequency functions. Journal of the American Statistical Association, 50, 209–219.
   Web of Science ®Google Scholar
• Wang, B. X., Yu, K., & Coolen, F. P. (2015). Interval estimation for proportional reversed hazard family based on lower record values. Statistics and Probability Letters, 98, 115–122.
   Web of Science ®Google Scholar
• Weerahandi, S. (2004). Generalized inference in repeated measures: Exact methods in MANOVA and mixed models (Vol. 500). New York, NY: John Wiley and Sons.
   Google Scholar
• Zghoul, A. A. (2011). Record values from a family of J-shaped distributions. Statistica, 71, 355–365.
   Google Scholar