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2022 | 23 | 2 | 1-16

Article title

The length-biased power hazard rate distribution: Some properties and applications

Content

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Languages of publication

Abstracts

EN
In this article, the length-biased power hazard rate distribution has introduced and investigated several statistical properties. This distribution reports an extension of several probability distributions, namely: exponential, Rayleigh, Weibull, and linear hazard rate. The procedure of maximum likelihood estimation is taken for parameters. Finally, the applicability of the model is explored by three real data sets. To examine, the performance of the technique, a simulation study is extracted.

Year

Volume

23

Issue

2

Pages

1-16

Physical description

Dates

published
2022

Contributors

  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
author
  • Department of Mathematics, Faculty of Science, Islamic University of Madinah, KSA

References

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  • Das, K. K., Roy, T. D., (2011). Applicability of length-biased generalized Rayleigh distribution. Advances in Applied Science Research, 2, pp. 320-327.
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  • Ismail, K., (2014). Estimation of for distribution having power hazard function. Pakistan Journal of Statistics, 30, pp. 57-70.
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  • Khattree, R., (1989). Characterization of inverse-Gaussian and gamma distributions through their length-biased distributions. IEEE Transactions on Reliability, 38, pp. 610-611.
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  • Modi, K., (2015). Length-biased Weighted Maxwell distribution. Pakistan Journal of Statistics and Operation Research, 11(4), pp. 465-472.
  • Mudasir, S., Ahmad, S. P., (2018). Characterization and estimation of the length-biased Nakagami distribution. Pakistan Journal of Statistics and Operation Research, 14(3), pp. 697-715.
  • Mugdadi, A. R., (2005). The least squares type estimation of the parameters in the power hazard function. Applied Mathematics Computation, 169, pp. 737-748.
  • Mugdadi, A. R., Min, A., (2009). Bayes estimation of the power hazard function. Journal of Interdisciplinary Mathematics, 12, pp. 675-689.
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  • Oluyede, B. O., (1999). On inequalities and selection of experiments for length-biased distributions. Probability in the Engineering and Informational Sciences, 13, pp. 169-185.
  • Praveen, Z., Ahmad, M., (2018). Some properties of size- biased weighted Weibull distribution. International Journal of Advanced and Applied Sciences, 5(5), pp. 92-98.
  • Ratnaparkhi, M. V., Naik-Nimbalkar, U. V., (2012). The length-biased lognormal distribution and its application in the analysis of data from oil field exploration studies. Journal of Modern Applied Statistical Methods, 11, pp. 225-260.
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Document Type

Publication order reference

Identifiers

Biblioteka Nauki
2106877

YADDA identifier

bwmeta1.element.ojs-doi-10_2478_stattrans-2022-0013
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