On the record-based transmuted model of balakrishnan and He based on weibull distribution

Abstract

In this paper, it is investigated that the some statistical properties and the methods of estimation for transmuted record type Weibull (TRTW) distribution.The moments, variance, skewness and kurtosis coefficients, geometric mean, quantile function, median, incomplete moments, Rényi entropy, the moments of order statistics are obtained for TRTW distribution. Six different estimators are considered in order to estimate the parameters of TRTW distribution. Furthermore, Monte Carlo (MC) simulations are performed to evaluate the performances of these estimators. Finally, a real data example is presented to illustrate the usefullness of TRTW distribution.

Keywords:

• Maximum likelihood estimators
• Monte Carlo simulation
• Rényi entropy
• transmuted record type Weibull distribution