Kumaraswamy-Odd Rayleigh-G Family of Distributions with Applications

• 作者: Sani Ibrahim Doguwa
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: Odd Rayleigh-G Family Kumuraswamy Odd Rayleigh-G Family Kumuraswamy Odd Rayleigh-Loglogistic Distribution Monte Carlo Simulation SKEWNESS
• 年，卷（期）: 2020,（4）
• 页码范围: 719-734
• 页数: 16页
• 分类号: O17

摘要

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 (</span><i><span style="font-family:Verdana;">KORLL</span></i><span style="font-family:Verdana;">) distribution indicate that the distribution can take many shapes depending on the parameter values. The negative skewness and kurtosis indicates that the distribution has li</span><span style="font-family:Verdana;">ghter tails than the normal distribution. The Monte Carlo simulation results indicate that the estimated biases decrease when the sample size increases. Furthermore, </span></span><span style="font-family:Verdana;">the root mean squared error estimates decay</span><span style="font-family:""><span style="font-family:Verdana;"> towards zero as the sample size increases. This part shows the consistency of the maximum likelihood estimators. From the considered analytical measures, the new </span><i><span style="font-family:Verdana;">KORLL</span></i><span style="font-family:Verdana;"> provides </span></span><span style="font-family:Verdana;">the best fit to the analysed five real data sets indicating that this new model outclasses its competitors.