Comparison of Different methods of Estimation for Transmuted Lomax Distribution

Authors

  • Rajiv Saksena   Department of Statistics, University of Lucknow, Lucknow, India
  • Ashok Kumar  Department of Statistics, University of Lucknow, Lucknow, India

Keywords:

Maximum likelihood estimation, method of moments, L-moments method, Monte Carlo Simulation.

Abstract

Accurate estimation of parameters of a probability distribution is of massive importance in statistics. Biased and vague estimation of parameters can lead to misleading results. In this paper, we consider the estimation of unknown parameters for the transmuted Lomax distribution. The estimation of parameters will be handled using maximum likelihood estimation, method of moments and L-moments method. A Monte Carlo Simulation is used to make comparison among them.

References

  1. Abdul-Moniem, I. B. (2007). L-moments and TL-moments estimation for the exponential distribution. Far East J. Theo. Stat., 23 (1) 51-61.
  2. Abdul-Moniem, I. B. and Selim, Y. M. (2009). TL-moments and L-moments estimation for the generalized Pareto distribution. Applied Mathematical Sciences, 3 (1), 43-52.
  3. Ashour, S.K. and Eltehiwy, M.A. (2013). "Transmuted Exponentiated Lomax Distribution", Australian Journal of Basic and Applied Sciences, 7(7), 658-667.
  4. Bilkova, D. (2014). Alternative means of statistical data analysis: L-moments and TL-moments of probability distributions. Statistika, 94 (2), 77-94.???
  5. Elamir, E. A., Seheult, A. H. (2003). "Trimmed L-moments", Computational Statistics & Data Analysis, 43, 299-314.
  6. Hosking, J. (1990). "L-moments: Analysis and estimation of distributions using linear combinations of order statistics", Journal of Royal Statistical Society, B 52 (1), 105-124.
  7. Lomax, K.S. (1954). Business failures: Another Example of The Analysis of Failure data. ?Journal of the American Statistical Association 49, 847-852.
  8. R Core Team (2017). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/.
  9. Shaw, W. and I. Buckley (2007). The Alchemy of Probability Distributions: Beyond Gram-Charlier Expansions, and a Skew-Kurtotic-Normal Distribution From a Rank Transmutation Map. Research report.
  10. Tomer, S. and Kumar, A. (2014). Traditional moments and L-moments estimation for the transmuted Exponentiated Lomax distribution. Anushandhan Anveshika, 4, 119-128.

International Journal of Scientific Research in Science and Technology

Downloads

Published

2017-10-31

Issue

Volume 3, Issue 7, September-October-2017

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Rajiv Saksena , Ashok Kumar, " Comparison of Different methods of Estimation for Transmuted Lomax Distribution, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 3, Issue 7, pp.259-264, September-October-2017.