American Journal of Theoretical and Applied Statistics

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Estimation of Parameters of the Kumaraswamy Distribution Based on General Progressive Type II Censoring

Received: 11 December 2014    Accepted: 22 December 2014    Published: 27 December 2014
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Abstract

In this paper, we produced a study in Estimation for parameters of the Kumaraswamy distribution based on general progressive type II censoring. These estimates are derived using the maximum likelihood and Bayesian approaches. In the Bayesian approach, the two parameters are assumed to be random variables and estimators for the parameters are obtained using the well known squared error loss (SEL) function. The findings are illustrated with actual and computer generated data.

DOI 10.11648/j.ajtas.20140306.17
Published in American Journal of Theoretical and Applied Statistics (Volume 3, Issue 6, November 2014)
Page(s) 217-222
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), 2024. Published by Science Publishing Group

Keywords

Kumaraswamy’s Distribution, Bayes Estimation, Bayes Prediction, General Progressive Type II Censoring

References
[1] Aarset, M.V (1987) How to identify a bathtub hazard function. IEEE Transactions on Reliability 36: 106–108.
[2] Al-Hussaini EK, Jaheen ZF (1992) Bayesian estimation of the parameters, reliability and failure rate functions of the Burr Type XII failure model. J Stat Comput Simul 41:37–40
[3] Chansoo Kim, Keunhee Han (2009) Estimation of the scale parameter of the Rayleigh distribution under general progressive censoring. Journal of the Korean Statistical Society 38: 239_246
[4] Fletcher SC, Ponnamblam K (1996) Estimation of reservoir yield and storage distribution using moments analysis. J Hydrol 182:259–275
[5] Gupta RC, Kirmani SNUA (1988) Closure and monotonicity properties of nonhomogeneous Poisson processes and record values. Probab Eng Inf Sci 2:475–484
[6] K.T. Fang, S. Kotz, K.W. Ng, Symmetric Multivariate and Related Distributions, Chapman and Hall, London, 1990.
[7] Kumaraswamy P (1976) Sinepower probability density function. J Hydrol 31:181–184
[8] Kumaraswamy P (1978) Extended sinepower probability density function. J Hydrol 37:81–89
[9] Kumaraswamy P (1980) A generalized probability density function for double-bounded random processes. J Hydrol 46:79–88
[10] Ponnambalam K, Seifi A, Vlach J (2001) Probabilistic design of systems with general distributions of parameters. Int J Circuit Theory Appl 29:527–536
[11] Seifi A, Ponnambalam K, Vlach J (2000) Maximization of manufacturing yield of systems with arbitrary distributions of component values. Ann Oper Res 99:373–383
[12] Sundar V, Subbiah K (1989) Application of double bounded probability density function for analysis of ocean waves. Ocean Eng 16:193–200
Author Information
  • Professor in department of Mathematics, faculty of Science, El Azhar University, Cairo, Egypt

  • Lecturer department of Mathematics, faculty of Science, Helwan Universit, Cairo, Egypt

  • Lecturer department of Mathematics, faculty of Science, El Azhar University, Cairo, Egypt

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  • APA Style

    Mostafa Mohie Eldin, Nora Khalil, Montaser Amein. (2014). Estimation of Parameters of the Kumaraswamy Distribution Based on General Progressive Type II Censoring. American Journal of Theoretical and Applied Statistics, 3(6), 217-222. https://doi.org/10.11648/j.ajtas.20140306.17

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    ACS Style

    Mostafa Mohie Eldin; Nora Khalil; Montaser Amein. Estimation of Parameters of the Kumaraswamy Distribution Based on General Progressive Type II Censoring. Am. J. Theor. Appl. Stat. 2014, 3(6), 217-222. doi: 10.11648/j.ajtas.20140306.17

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    AMA Style

    Mostafa Mohie Eldin, Nora Khalil, Montaser Amein. Estimation of Parameters of the Kumaraswamy Distribution Based on General Progressive Type II Censoring. Am J Theor Appl Stat. 2014;3(6):217-222. doi: 10.11648/j.ajtas.20140306.17

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  • @article{10.11648/j.ajtas.20140306.17,
      author = {Mostafa Mohie Eldin and Nora Khalil and Montaser Amein},
      title = {Estimation of Parameters of the Kumaraswamy Distribution Based on General Progressive Type II Censoring},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {3},
      number = {6},
      pages = {217-222},
      doi = {10.11648/j.ajtas.20140306.17},
      url = {https://doi.org/10.11648/j.ajtas.20140306.17},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajtas.20140306.17},
      abstract = {In this paper, we produced a study in Estimation for parameters of the Kumaraswamy distribution based on general progressive type II censoring. These estimates are derived using the maximum likelihood and Bayesian approaches. In the Bayesian approach, the two parameters are assumed to be random variables and estimators for the parameters are obtained using the well known squared error loss (SEL) function. The findings are illustrated with actual and computer generated data.},
     year = {2014}
    }
    

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    AU  - Mostafa Mohie Eldin
    AU  - Nora Khalil
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    AB  - In this paper, we produced a study in Estimation for parameters of the Kumaraswamy distribution based on general progressive type II censoring. These estimates are derived using the maximum likelihood and Bayesian approaches. In the Bayesian approach, the two parameters are assumed to be random variables and estimators for the parameters are obtained using the well known squared error loss (SEL) function. The findings are illustrated with actual and computer generated data.
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