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A New Modified inverse lomax distribution: Properties, Estimation and Applications to Engineering and Medical Data

Computer Modeling in Engineering & Sciences 2021年第5期127卷 621-643页

作者： Abdullah M.Almarashi Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddah21589Saudi Arabia

In this paper,a modified form of the traditional inverse lomax distribution is proposed and its characteristics are *** new distribution which called modified logarithmic transformed inverse lomax distribution is generated by adding a new shape parameter based on logarithmic transformed *** contains two shape and one scale parameters and has different shapes of probability density and hazard rate *** new shape parameter increases the flexibility of the statistical properties of the traditional inverse lomax distribution including mean,variance,skewness and *** moments,entropies,order statistics and other properties are *** methods of estimation are considered to estimate the distribution *** compare the performance of the different estimators,a simulation study is *** show the flexibility and applicability of the proposed distribution two real data sets to engineering and medical fields are *** simulation results and real data analysis showed that the Anderson-Darling estimates have the smallest mean square errors among all other ***,the analysis of the real data sets showed that the traditional inverse lomax distribution and some of its generalizations have shortcomings in modeling engineering and medical *** proposed distribution overcomes this shortage and provides a good fit which makes it a suitable choice to model such data sets.

关键词： inverse lomax distribution logarithmic transformed method order statistics maximum likelihood estimation maximum product of spacing manuscript preparation typeset format

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Flexible Reduced Logarithmic-inverse lomax distribution with Application for Bladder Cancer

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Open Journal of Modelling and Simulation 2021年第4期9卷 351-369页

作者： Mohamed M. Buzaridah Dina A. Ramadan Beih S. El-Desouky Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt

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 th... 详细信息

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.

关键词： lomax distribution inverse lomax distribution Hazard Rate Function Maximum Likelihood Estimators Skewness and Kurtosis Moment Generating Function

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