Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer - Open Journal of Modelling and Simulation

OJMSi > Vol.9 No.4, October 2021

Open Journal of Modelling and Simulation

Volume 9, Issue 4 (October 2021)

ISSN Print: 2327-4018 ISSN Online: 2327-4026

Google-based Impact Factor: 2.79 Citations

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

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Download as PDF (Size: 1263KB) PP. 351-369

DOI: 10.4236/ojmsi.2021.94023 283 Downloads 1,189 Views Citations

Author(s)

Mohamed M. Buzaridah, Dina A. Ramadan, Beih S. El-Desouky

Affiliation(s)

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.

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.

KEYWORDS

Lomax Distribution, Inverse Lomax Distribution, Hazard Rate Function, Maximum Likelihood Estimators, Skewness and Kurtosis, Moment Generating Function

Share and Cite:

Buzaridah, M. , Ramadan, D. and El-Desouky, B. (2021) Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer. Open Journal of Modelling and Simulation, 9, 351-369. doi: 10.4236/ojmsi.2021.94023.

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