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On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions

Received: 21 February 2014     Accepted: 29 April 2014     Published: 30 April 2014
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Abstract

Limited work has been conducted on the doubly truncation for the mixture of different distributions. This paper is concerned with the doubly truncated mixture of Burr XII and Weibull distributions. In this paper, classical properties of the doubly truncated mixture of Burr XII and Weibull distributions have been derived. Cumulative distribution function, hazard rate, failure rate, inverse hazard function, odd function and the cumulative hazard function, rth moment about origin, moment generating function characteristic function, moments about origin and mean, mean and variance, measure of skewness and kurtosis have been discussed.

Published in American Journal of Theoretical and Applied Statistics (Volume 3, Issue 2)
DOI 10.11648/j.ajtas.20140302.15
Page(s) 55-59
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), 2014. Published by Science Publishing Group

Keywords

Doubly Truncation, Mixture, Weibull and Burr XII Distributions, Characteristic Function

References
[1] B.R. Cho, M.S. Govindaluri. (2002), Optimal Screening Limits in Multi-Stage Assemblies, International Journal Production Research 40, pp. 1993-2009.
[2] H.Agahi and M.Ghezelayagh. (2009), Fuzzy Truncated Normal Distribution with Applications, International Journal of Applied Mathematics and Computation, 1(3), pp170-181.
[3] Cohen, A. C. (1950), Estimating the mean and variance of normal populations from singly truncated and doubly truncated samples, Ann. Math. Statist., 21,pp 557-569.
[4] Cohen, A. C. (1991), Truncated and Censored Samples, Marcel Dekker, New York.
Cite This Article
  • APA Style

    Muhammad Daniyal, Muhammad Aleem, Tahir Nawaz. (2014). On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions. American Journal of Theoretical and Applied Statistics, 3(2), 55-59. https://doi.org/10.11648/j.ajtas.20140302.15

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    ACS Style

    Muhammad Daniyal; Muhammad Aleem; Tahir Nawaz. On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions. Am. J. Theor. Appl. Stat. 2014, 3(2), 55-59. doi: 10.11648/j.ajtas.20140302.15

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    AMA Style

    Muhammad Daniyal, Muhammad Aleem, Tahir Nawaz. On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions. Am J Theor Appl Stat. 2014;3(2):55-59. doi: 10.11648/j.ajtas.20140302.15

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  • @article{10.11648/j.ajtas.20140302.15,
      author = {Muhammad Daniyal and Muhammad Aleem and Tahir Nawaz},
      title = {On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {3},
      number = {2},
      pages = {55-59},
      doi = {10.11648/j.ajtas.20140302.15},
      url = {https://doi.org/10.11648/j.ajtas.20140302.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20140302.15},
      abstract = {Limited work has been conducted on the doubly truncation for the mixture of different distributions. This paper is concerned with the doubly truncated mixture of Burr XII and Weibull distributions. In this paper, classical properties of the doubly truncated mixture of Burr XII and Weibull distributions have been derived. Cumulative distribution function, hazard rate, failure rate, inverse hazard function, odd function and the cumulative hazard function, rth moment about origin, moment generating function characteristic function, moments about origin and mean, mean and variance, measure of skewness and kurtosis have been discussed.},
     year = {2014}
    }
    

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    T1  - On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions
    AU  - Muhammad Daniyal
    AU  - Muhammad Aleem
    AU  - Tahir Nawaz
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    DO  - 10.11648/j.ajtas.20140302.15
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ajtas.20140302.15
    AB  - Limited work has been conducted on the doubly truncation for the mixture of different distributions. This paper is concerned with the doubly truncated mixture of Burr XII and Weibull distributions. In this paper, classical properties of the doubly truncated mixture of Burr XII and Weibull distributions have been derived. Cumulative distribution function, hazard rate, failure rate, inverse hazard function, odd function and the cumulative hazard function, rth moment about origin, moment generating function characteristic function, moments about origin and mean, mean and variance, measure of skewness and kurtosis have been discussed.
    VL  - 3
    IS  - 2
    ER  - 

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Author Information
  • Department of Statistics, the Islamia University of Bahawalpur

  • Department of Statistics, the Islamia University of Bahawalpur

  • Department of Statistics, G.C University Faisalabad

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