TITLE:
Kumaraswamy-Odd Rayleigh-G Family of Distributions with Applications
AUTHORS:
Jamilu Yunusa Falgore, Sani Ibrahim Doguwa
KEYWORDS:
Odd Rayleigh-G Family, Kumuraswamy Odd Rayleigh-G Family, Kumuraswamy Odd Rayleigh-Loglogistic Distribution, Monte Carlo Simulation, Skewness
JOURNAL NAME:
Open Journal of Statistics,
Vol.10 No.4,
August
31,
2020
ABSTRACT: We propose a new generator of continuous
distributions with at least four positive parameters called the Kumaraswamy-Odd
Rayleigh-G family. Some special cases were presented. The plots of the
Kumaraswamy Odd Rayleigh Log-Logistic (KORLL)
distribution indicate that the distribution can take many shapes depending on
the parameter values. The negative skewness and kurtosis indicates that the
distribution has lighter tails than the
normal distribution. The Monte Carlo simulation results indicate that the
estimated biases decrease when the sample size increases. Furthermore, the root mean squared error estimates decay towards zero as the sample size increases. This part shows the
consistency of the maximum likelihood estimators. From the considered
analytical measures, the new KORLL provides the best fit to the analysed five real data sets
indicating that this new model outclasses its competitors.