{"title":"Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer","authors":"M. M. Buzaridah, Dina A. Ramadan, B. El-Desouky","doi":"10.4236/ojmsi.2021.94023","DOIUrl":null,"url":null,"abstract":"In this paper, a new method for adding parameters to \na well-established distribution to obtain more flexible new families of \ndistributions is applied to the inverse Lomax distribution (IFD). This method \nis known by the flexible reduced logarithmic-X family of distribution (FRL-X). \nThe proposed distribution can be called a flexible reduced logarithmic-inverse \nLomax distribution (FRL-IL). The statistical and reliability properties of the \nproposed models are studied including moments, order statistics, moment generating \nfunction, and quantile function. The estimation of the model parameters by \nmaximum likelihood and the observed information matrix are also discussed. In \norder to assess the potential of the newly created distribution. The extended \nmodel is applied to real data and the results are given and compared to other \nmodels.","PeriodicalId":56990,"journal":{"name":"建模与仿真(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"建模与仿真(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/ojmsi.2021.94023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
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.