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

Muhammad Daniyal; Muhammad Aleem; Tahir Nawaz

doi:doi:10.11648/j.ajtas.20140302.15

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

Muhammad Daniyal, Muhammad Aleem, Tahir Nawaz

Published in American Journal of Theoretical and Applied Statistics (Volume 3, Issue 2)

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.

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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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TY  - JOUR
T1  - On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions
AU  - Muhammad Daniyal
AU  - Muhammad Aleem
AU  - Tahir Nawaz
Y1  - 2014/04/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajtas.20140302.15
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
SP  - 55
EP  - 59
PB  - Science Publishing Group
SN  - 2326-9006
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

Muhammad Daniyal

Department of Statistics, the Islamia University of Bahawalpur
Muhammad Aleem

Department of Statistics, the Islamia University of Bahawalpur
Tahir Nawaz

Department of Statistics, G.C University Faisalabad

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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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TY  - JOUR
T1  - On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions
AU  - Muhammad Daniyal
AU  - Muhammad Aleem
AU  - Tahir Nawaz
Y1  - 2014/04/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajtas.20140302.15
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
SP  - 55
EP  - 59
PB  - Science Publishing Group
SN  - 2326-9006
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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