Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer  

作　　者：Mohamed M. Buzaridah Dina A. Ramadan Beih S. El-Desouky Mohamed M. Buzaridah;Dina A. Ramadan;Beih S. El-Desouky(Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt)

机构地区：[1]Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

出　　处：《Open Journal of Modelling and Simulation》2021年第4期351-369,共19页建模与仿真（英文）

摘　　要：<span style="font-family:Verdana;">In this paper, a new method for adding parameters to a well-established distribution to obtain more flexible new families of distributions is applied to the inverse Lomax distribution (IFD). This method is known by the flexible reduced logarithmic-X family of distribution (FRL-X). The proposed distribution can be called a flexible reduced logarithmic-inverse Lomax distribution (FRL-IL). The statistical and reliability properties of the proposed models are studied including moments, order statistics, moment generating function, and quantile function. The estimation of the model parameters by maximum likelihood and the observed information matrix are also discussed. In order to assess the potential of the newly created distribution. The extended model is applied to real data and the results are given and compared to other models.</span><span style="font-family:Verdana;">In this paper, a new method for adding parameters to a well-established distribution to obtain more flexible new families of distributions is applied to the inverse Lomax distribution (IFD). This method is known by the flexible reduced logarithmic-X family of distribution (FRL-X). The proposed distribution can be called a flexible reduced logarithmic-inverse Lomax distribution (FRL-IL). The statistical and reliability properties of the proposed models are studied including moments, order statistics, moment generating function, and quantile function. The estimation of the model parameters by maximum likelihood and the observed information matrix are also discussed. In order to assess the potential of the newly created distribution. The extended model is applied to real data and the results are given and compared to other models.</span>

关 键 词：Lomax Distribution Inverse Lomax Distribution Hazard Rate Function Maximum Likelihood Estimators Skewness and Kurtosis Moment Generating Function 

分 类 号：O17[理学—数学]