On Alpha Power Transformation Generalized Pareto Distribution and Some Properties

Faculty Science Year: 2024
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Journal of Applied Mathematics Wiley Volume:
Keywords : , Alpha Power Transformation Generalized Pareto Distribution , Some    
Abstract:
Recently, the need to develop statistical distributions has become the most important spot. In this context, we employ the α-power transformation (APT) method to convert the generalized Pareto distribution (GPD) into a new distribution. Some statistical properties of the proposed distribution are being studied, such as moments, arithmetic mean, moment-generating function, random variables, entropy, reliability, and hazard function (HF). In addition, the proposed distribution is compared with the Pareto distribution and some other forms of alpha power distributions, such as the alpha power Pareto (APP) distribution, alpha power Rayleigh (APR) distribution, and the alpha power Lomax (APL) distribution. Finally, we demonstrate the benefits of the proposed distribution through a simulation study and two real data sets. It was found that the results showed the MLE method is reliable, the APTGP distribution is a competitive distribution for the aforementioned data set, and it is a mirror image of the Pareto distribution.
   
     
 
       

Author Related Publications

  • Rasha AbdelWahab Atwa, "Discrete time multi-server loss systems and stochastic approximation with delayed groups of customers", ICAT, 2021 More
  • Rasha AbdelWahab Atwa, "discrete time multi-server loss systems and stochastic approximation with delayed groups of customers", Journal of Applied Research and Technology, 2021 More
  • Rasha AbdelWahab Atwa, "Stochastic approximation with series of delayed observations", SCIENCE DIRECT, 2017 More
  • Rasha AbdelWahab Atwa, "Staffing Otimization aaproblem Based on Queueing Models of Multi-Skill Call Center with Patient Customers", CAIRO UNIVERSITY, 2020 More
  • Rasha AbdelWahab Atwa, "An Application Using Stochastic Approximation Method for Improvement Specific Loss System", Asian Journal of Probability and Statistics, 2019 More

Department Related Publications

  • Hany Samih Bayoumi Ibrahim, "Passive and active controllers for suppressing the torsional vibration of multiple-degree-of-freedom system", Sage, 2014 More
  • Ahmed Mohamed Khedr Souliman, "SEP-CS: Effective Routing Protocol for Heterogeneous Wireless Sensor Networks", Ad Hoc & Sensor Wireless Networks, 2012 More
  • Ahmed Mohamed Khedr Souliman, "Minimum connected cover of a query region in heterogeneous wireless sensor networks", Information Sciences, 2013 More
  • Ahmed Mohamed Khedr Souliman, "IBLEACH: intra-balanced LEACH protocol for wireless sensor networks", Wireless Netw, 2014 More
  • Ahmed Mohamed Khedr Souliman, "AGENTS FOR INTEGRATING DISTRIBUTED DATA FOR FUNCTION COMPUTATIONS", Computing and Informatics,, 2012 More
Tweet