Transmutation of the two parameters Rayleigh distribution

  • Authors

    • Ehsan Ullah Department of Statistics, University of Gujrat, Pakistan
    • Mirza Shahzad Department of Statistics, University of Gujrat, Pakistan
    2016-09-01
    https://doi.org/10.14419/ijasp.v4i2.6100
  • Least Square Estimation, Moments, Order Statistics, Transmuted Two Parameters Rayleigh Distribution.
  • In this study, transmuted two parameters Rayleigh distribution is proposed using quadratic rank transmutation map. This proposed distribution is more flexible and versatile than two parameters Rayleigh distribution. Some properties of the proposed distribution are derived such as moments, moment generating function, mean, variance, median, quantile function, reliability, and hazard function. The parameter estimation is approached through the method of least square estimation. The th and joint order statistics are also derived for the proposed distribution. The application of proposed model illustrated and compared using real data.

  • References

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