| Peer-Reviewed

Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics

Received: 4 March 2017     Accepted: 20 March 2017     Published: 11 April 2017
Views:       Downloads:
Abstract

In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.

Published in American Journal of Theoretical and Applied Statistics (Volume 6, Issue 3)
DOI 10.11648/j.ajtas.20170603.11
Page(s) 129-140
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Characterization, General Progressively Type-II Right Censored, Linear Failure Rate, Order Statistics, Recurrence Relations, Single and Product Moments

References
[1] Abd El-Aty, Y. and Marwa M. Mohie El-Din. Recurrence relations for single and double moments of GOS from the inverted linear exponential distribution and any continuous function. J. of probability and statist. science, 2009; 7:127-137.
[2] Abd El-Hamid, A. H. and AL-Hussaini, E. K. Inference and optimal design based on step-partially accelerated life tests for the generalized Pareto distribution under progressive Type-I censoring. Communications in Statistics- Simulation and Computation, 2015; 44:1750-1769.
[3] Aggarwala, R. and Balakrishnan, N. Recurrence relations for single and product moments of progressive Type-II right censored order statistics from exponential and truncated exponential distributions. Ann. Inst. Statist. Math., 1996; 4:757-771.
[4] Athar, H. Akhterand, Z. and Saran, J. Moments of progressive Type-II right censored order statistics from Lindley distribution. Statist. Research Letters, 2014; 3:1-6.
[5] Bain, L. J. Analysis for the Linear Failure-Rate Life-Testing Distribution. Technometrics, 1974; 16:551-559.
[6] Balakrishnan, N., Cramer, E., Kamps, U., Schenk, N. Progressive Type II censored order statistics from exponential distributions. Statistics, 2001; 35:537-556.
[7] Balakrishnan, N. and Sandhu R. A. Best linear unbiased and maximum likelihood estimation for exponential distributions based on general progressive Type-II censored samples. Sankhya, 58, Series B., 1996; 1:1-9.
[8] Davis, H. T., Feldstein, M. L. The generalized Pareto law as a model for progressively censored survival data. Biometrika, 1979; 66:299-306.
[9] Jagdish Saran and Narinder Pushkarna. Derived moments of progressive Type-II right censored order statistics from a general class of doubly truncated continuous distributions. J. of Statistical Theory and Applications, 2014; 13:162-174.
[10] Hwang, J. S. and Lin, G. D. Extensions of Muntz-Szasz theorem and applications. Analysis, 1984; 4:143-160.
[11] Mohie El-Din, M. M., Amein, M. M. and Hafez, E. H. Statistical inference and characterizations from independent and identical Exponential-Bernoulli mixture distribution. Advanced Research in Statistics and Probability, Issue, 2011; 3:15-31.
[12] Mohie El-Din, M. M. and Kotb, M. S. Recurrence relations for single and product moments of generalized order statistics for modified Burr XII-geometric distribution and characterization. J. of Advanced Research Statistics and Probability, 2011; 1:36-46.
[13] Mokhlis, N. A., Abd El-Aty, Y and Marwa M. Mohie El-Din. Recurrence relations for moments of GOS from Marshall-Olkin-Extended Burr XII distribution. international J. of math. and computation, 2010; 8:127-136.
Cite This Article
  • APA Style

    M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy. (2017). Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. American Journal of Theoretical and Applied Statistics, 6(3), 129-140. https://doi.org/10.11648/j.ajtas.20170603.11

    Copy | Download

    ACS Style

    M. M. Mohie El-Din; A. Sadek; Marwa M. Mohie El-Din; A. M. Sharawy. Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. Am. J. Theor. Appl. Stat. 2017, 6(3), 129-140. doi: 10.11648/j.ajtas.20170603.11

    Copy | Download

    AMA Style

    M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy. Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. Am J Theor Appl Stat. 2017;6(3):129-140. doi: 10.11648/j.ajtas.20170603.11

    Copy | Download

  • @article{10.11648/j.ajtas.20170603.11,
      author = {M. M. Mohie El-Din and A. Sadek and Marwa M. Mohie El-Din and A. M. Sharawy},
      title = {Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {6},
      number = {3},
      pages = {129-140},
      doi = {10.11648/j.ajtas.20170603.11},
      url = {https://doi.org/10.11648/j.ajtas.20170603.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20170603.11},
      abstract = {In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.},
     year = {2017}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics
    AU  - M. M. Mohie El-Din
    AU  - A. Sadek
    AU  - Marwa M. Mohie El-Din
    AU  - A. M. Sharawy
    Y1  - 2017/04/11
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ajtas.20170603.11
    DO  - 10.11648/j.ajtas.20170603.11
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
    SP  - 129
    EP  - 140
    PB  - Science Publishing Group
    SN  - 2326-9006
    UR  - https://doi.org/10.11648/j.ajtas.20170603.11
    AB  - In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.
    VL  - 6
    IS  - 3
    ER  - 

    Copy | Download

Author Information
  • Department of Mathematics, Faculty of Science (Men), Al-Azhar University, Cairo, Egypt

  • Department of Mathematics, Faculty of Science (Men), Al-Azhar University, Cairo, Egypt

  • Department of Mathematics, Faculty of Engineering, Egyptian Russian University, Cairo, Egypt

  • Department of Mathematics, Faculty of Engineering, Egyptian Russian University, Cairo, Egypt

  • Sections