Main Article Content
In this paper, an estimate has been made for parameters and the reliability function for Transmuted power function (TPF) distribution through using some estimation methods as proposed new technique for white, percentile, least square, weighted least square and modification moment methods. A simulation was used to generate random data that follow the (TPF) distribution on three experiments (E1 , E2 , E3) of the real values of the parameters, and with sample size (n=10,25,50 and 100) and iteration samples (N=1000), and taking reliability times (0< t < 0) . Comparisons have been made between the obtained results from the estimators using mean square error (MSE). The results showed the percentile estimator is the best in (E1, E2) but modification moment is the best in (E3) .
Published Online First 20/7/2021
This work is licensed under a Creative Commons Attribution 4.0 International License.
Mirza N S, Zahid A, Farrukh S, Mubeen S. Parameter Estimation of Power Function Distribution with TL-moments. Rev Colomb Estad.2015; 38(2):321–334.
Muhammad A, Nadeem S B, Rana M U, Ahmed A F. Transmuted Power Function Distribution. GU J Sci.2016; 29(1):177-185.
William T S, Ian R C B. The alchemy of probability distributions: beyond Gram–Charlier expansions, and a skew-kurtotic normal distribution from a rank transmutation map. Technical report, http://arxiv.org/abs/0901.0434,(2009).
Makki A M, Ahmed Y T. Estimate parameters and reliability function for truncated logistic distribution: simulation study. Magistra .2015; 93:38-50.
Sanku D, Enayetur R, Saikat M. Statistical Properties and Different Methods of Estimation of Transmuted Rayleigh Distribution. Rev Colomb Estad. 2017; 40(1):165–203.
Sara A, Van D G. Least Squares Estimation. Encyclopedia of Statistics in Behavioral Science. John Wiley & Sons, Ltd, Chichester.2005; 2:1041–1045.
Ahmed H K, Nada S K. Estimating the Reliability Function of (2+1) Cascade Model. Baghdad Sci. J..2019; 16(2):395-402.
Shahzad H, Sajjad H, Tanvir A, Muhammad A, Muhammad T. Parameter estimation of Pareto distribution: some modified moment estimators. Maejo Int. J. Sci. Technol.2018; 12(01):11-27.