Skip to main content
SpringerLink
Log in

The Topp–Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

The Lomax distribution was extended in this paper using the Topp–Leone family of distributions. Some of its specific structural properties were established and the model parameters were estimated using maximum likelihood estimation method. The usefulness of the Topp–Leone Lomax distribution was demonstrated using an airbone communication transceiver dataset and comparison were made with respect to the Topp–Leone Burr XII, Topp–Leone Flexible Weibull and Lomax distributions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Abbas, S., Taqi, S. A., Mustapha, F., Murtaza, M., & Shahbaz, M. Q. (2017). Topp–Leone inverse Weibull distribution: Theory and application. European Journal of Pure and Applied Mathematics, 10(5), 1005–1022.

    MathSciNet  MATH  Google Scholar 

  2. 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(3), 443–451.

    Article  MathSciNet  Google Scholar 

  3. Aryal, G. R., Ortega, E. M., Hamedani, G., & Yousof, H. M. (2016). The Topp–Leone generated Weibull distribution: Regression model, characterizations and applications. International Journal of Statistics and Probability, 6, 126.

    Article  Google Scholar 

  4. Bayoud, H. A. (2016). Estimating the shape parameter of Topp–Leone distribution based on progressive type II censored samples. REVSTAT-Statistical Journal, 14(4), 415–431.

    MathSciNet  MATH  Google Scholar 

  5. Brito, E., Cordeiro, G. M., Yousof, H. M., Alizadeh, M., & Silva, G. O. (2017). The Topp–Leone odd log-logistic family of distributions. Journal of Statistical Computation and Simulation, 87(15), 3040–3058.

    Article  MathSciNet  Google Scholar 

  6. Feroze, N., & Aslam, M. (2013). N Bayesian Analysis of failure rate under Topp Leone distribution using complete and censored samples. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 7(3), 426–432.

    Google Scholar 

  7. Genc, A. (2012). Moments of order statistics of Topp–Leone distribution. Statistical Papers, 53(1), 117–131.

    Article  MathSciNet  Google Scholar 

  8. Jorgensen, B. (1982). Statistical properties of the generalized inverse Gaussian distribution. New York: Springer.

    Book  Google Scholar 

  9. Merovci, F., Khaleel, M. A., Ibrahim, N. A., & Shitan, M. (2016). The beta type X distribution: Properties with applications. SpringerPlus, 5, 697.

    Article  Google Scholar 

  10. MirMostafaee, S. M. T. K. (2014). On the moments of order statistics coming from the Topp–Leone distribution. Statistics and Probability Letters, 95, 85–91.

    Article  MathSciNet  Google Scholar 

  11. MirMostafaee, S. M. T. K., Mahdizadeh, M., & Aminzadeh, M. (2016). Bayesian inference for the Topp–Leone distribution based on lower k-record values. Japan Journal of Industrial and Applied Mathematics, 33(3), 637–669.

    Article  MathSciNet  Google Scholar 

  12. Oguntunde, P. E., Adejumo, A. O., Okagbue, H. I., & Rastogi, M. K. (2016). Statistical properties and applications of a new Lindley exponential distribution. Gazi University Journal of Science, 29(4), 831–838.

    Google Scholar 

  13. Oguntunde P. E., Khaleel M. A., Ahmed M. T., Adejumo A. O., & Odetunmibi O. A. (2017). A new generalization of the Lomax distribution with increasing, decreasing and constant failure rate. Modelling and Simulation in Engineering, Article ID: 6043169, 6.

  14. Owoloko, E. A., Oguntunde, P. E., & Adejumo, A. O. (2015). Performance rating of the transmuted exponential distribution: An analytical approach. SpringerPlus, 4, 818.

    Article  Google Scholar 

  15. Pourdarvish, A., Mirmostafaee, S. M. T. K., & Naderi, K. (2015). The exponentiated Topp–Leone distribution: Properties and application. Journal of Applied Environmental and Biological Sciences, 5(7S), 251–256.

    Google Scholar 

  16. Reyad, H. M., & Othman, S. A. (2017). The Topp–Leone Burr XII distribution: Properties and applications. British Journal of Mathematics and Computer Science, 21(5), 1–15.

    Article  Google Scholar 

  17. Sangsanit, Y., & Bodhisuwan, W. (2016). The Topp-Leone generator of distributions: properties and inferences. Songklanakarin Journal of Science and Technology, 38(5), 537–548.

    Google Scholar 

  18. Sultan, H., & Ahmad, S. P. (2016). Bayesian analysis of Topp–Leone distribution under different loss functions and different priors. Journal of Statistics Application and Probability Letters, 3(3), 109–118.

    Article  Google Scholar 

  19. Topp, C. W., & Leone, F. C. (1955). A family of J-shaped frequency functions. Journal of the American Statistical Association, 50(269), 209–219.

    Article  MathSciNet  Google Scholar 

  20. Yousouf, H. M., Alizadeh, M., Jahanshahi, S. M. A., Ramires, T. G., Ghosh, I., & Hamedani, G. G. (2017). The transmuted Topp–Leone G family of distributions: Theory, characterizations and applications. Journal of Data Science, 15, 723–740.

    Google Scholar 

Download references

Acknowledgements

The authors are grateful to the anonymous reviewers for their useful comments and to Covenant University, Nigeria for providing an enabling environment for this research.

Author information

Authors and Affiliations

  1. Department of Mathematics, Covenant University, Ota, Nigeria

    Pelumi E. Oguntunde, Hilary I. Okagbue & Oluwole A. Odetunmibi

  2. Department of Mathematics, Faculty of Computer Science and Mathematics, University of Tikrit, Tikrit, Iraq

    Mundher A. Khaleel

Authors
  1. Pelumi E. Oguntunde
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mundher A. Khaleel
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hilary I. Okagbue
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Oluwole A. Odetunmibi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pelumi E. Oguntunde.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Oguntunde, P.E., Khaleel, M.A., Okagbue, H.I. et al. The Topp–Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset. Wireless Pers Commun 109, 349–360 (2019). https://doi.org/10.1007/s11277-019-06568-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-019-06568-8

Keywords

Search

Navigation