Research Article

Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data

Volume: 32 Number: 4 December 1, 2019
TR EN

Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data

Abstract

A new three-parameter lifetime model, called the inverted exponentiated Lomax (IEL) distribution is proposed. The IEL distribution is the inverse form of the exponentiated Lomax distribution. Some properties of the IEL distribution are established. The maximum likelihood and the asymptotic confidence interval estimators are obtained in presence of Type I censored samples. Two real data sets are employed to clarify the usefulness and flexibility of the IEL model with some known distributions. 

Keywords

References

  1. [1] Abd-Elfattah, A. M. and Alharbey, H. A. “Estimation of Lomax parameters based on generalized probability weighted moments”. JKAU: Science, 22(2): 171-184, (2010).[2] Abd-Elfattah, A. M., Alaboud F. M. and Alharbey, H. A. “On sample size estimation for Lomax distribution”. Australian Journal of Basic and Applied Sciences, 1(4): 373-378, (2007).
  2. [3] Abdul-Moniem, I. B. and Abdel-Hameed, H. F. “On exponentiated Lomax distribution”. International Journal of Mathematical Education, 33(5): 1-7, (2012).[4] Ahsanullah, M. “Record values of the Lomax distribution”. Statistica Neerlandica, 45: 21–29, (1991).
  3. [5] Al-Zahrani, B. “An extended Poisson-Lomax distribution”. Advances in Mathematics: Scientific Journal, 4(2): 79-89, (2015).[6] Ashour S. K., Abdelfattah A. M., and Mohammad, B. S. K. “Parameter estimation of the hybrid censored Lomax distribution”. Pakistan Journal of Statistics and Operations Research, 7: 1–19, (2011).
  4. [7] Ashour, S. K., and Eltehiwy, M. A. “Transmuted exponentiated Lomax distribution”. Australian Journal of Basic and Applied Sciences, 7: 658–667, (2013).[8] Balakrishnan, N. and Ahsanullah, M. “Relations for single and product moments of record values from Lomax distribution”. Sankhya B, 56: 140-146, (1994).
  5. [9] Balkema, A. A. and de Hann, L. “Residual life time at great age”. The Annals of Probability, 2(5): 972–804, (1974).[10] Bryson, M. C. “Heavy-tailed distributions: properties and tests”. Technimetrics, 16: 61–68, (1974).
  6. [11] Childs, A., Balakrishnan, N. and Moshref, M. “Order statistics from non-identical right truncated Lomax random variables with applications”. Statistical Papers, 42(2): 187-206, (2001). [12] Popović, B. V., Cordeiro, G. M. and Ortega, E. “The gamma-Lomax distribution”. Journal of Statistical Computation and Simulation, 85(2): 305–319, (2013).
  7. [13] Dubey, S. “Compound gamma, beta and F distributions”. Metrika 16(1):27–31, (1970).[14] El-Bassiouny, A., Abdo N. and Shahen, H. “Exponential Lomax distribution”. International Journal of Computer Applications, 121(13):975–8887, (2015).
  8. [15] Fisher, B. and Kılıcman, A. “Some Results on the Gamma Function for Negative Integers”. Applied Mathematics and Information Sciences, 6: 173-176, (2012).[16] Ghitany, M. E., Al-Awadhi, F. A. and Alkhalfan, L. A. “Marshall-Olkin extended Lomax distribution and its application to censored data”. Communication in Statistics-Theory and Methods, 36(10): 1855-1866, (2007).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 1, 2019

Submission Date

August 11, 2018

Acceptance Date

February 19, 2019

Published in Issue

Year 2019 Volume: 32 Number: 4

APA
Elmorsy, R., & Hassan, A. (2019). Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data. Gazi University Journal of Science, 32(4), 1370-1386. https://doi.org/10.35378/gujs.452885
AMA
1.Elmorsy R, Hassan A. Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data. Gazi University Journal of Science. 2019;32(4):1370-1386. doi:10.35378/gujs.452885
Chicago
Elmorsy, Rokaya, and Amal Hassan. 2019. “Parameter Estimation for Inverted Exponentiated Lomax Distribution With Right Censored Data”. Gazi University Journal of Science 32 (4): 1370-86. https://doi.org/10.35378/gujs.452885.
EndNote
Elmorsy R, Hassan A (December 1, 2019) Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data. Gazi University Journal of Science 32 4 1370–1386.
IEEE
[1]R. Elmorsy and A. Hassan, “Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data”, Gazi University Journal of Science, vol. 32, no. 4, pp. 1370–1386, Dec. 2019, doi: 10.35378/gujs.452885.
ISNAD
Elmorsy, Rokaya - Hassan, Amal. “Parameter Estimation for Inverted Exponentiated Lomax Distribution With Right Censored Data”. Gazi University Journal of Science 32/4 (December 1, 2019): 1370-1386. https://doi.org/10.35378/gujs.452885.
JAMA
1.Elmorsy R, Hassan A. Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data. Gazi University Journal of Science. 2019;32:1370–1386.
MLA
Elmorsy, Rokaya, and Amal Hassan. “Parameter Estimation for Inverted Exponentiated Lomax Distribution With Right Censored Data”. Gazi University Journal of Science, vol. 32, no. 4, Dec. 2019, pp. 1370-86, doi:10.35378/gujs.452885.
Vancouver
1.Rokaya Elmorsy, Amal Hassan. Parameter Estimation for Inverted Exponentiated Lomax Distribution with Right Censored Data. Gazi University Journal of Science. 2019 Dec. 1;32(4):1370-86. doi:10.35378/gujs.452885

Cited By