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IJASP International Journal of Advanced Statistics and Probability E-ISSN 2307-9045

A new log dagum singh maddala TX family of distribution

Authors and Affiliations

  • Aneeqa Khadim Mirpur University of Science and Technology image/svg+xml
  • Aamir Saghir Department of Mathematics Mirpur University of Science and Technology (MUST)‎‎ Mirpur-10250 AJK, Pakistan‎
  • Tassadaq Hussain Department of Mathematics Mirpur University of Science and Technology (MUST)‎‎ Mirpur-10250 AJK, Pakistan‎
  • M. Shakil Department of Mathematics Miami Dade College Hialeah FL33024, USA‎

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Abstract

This study introduces the Log-Dagum Singh Maddala (4P) distribution, a significant contribution to the field of continuous distributions. We investigate its statistical properties including probability density, hazard rate, survival functions, quantiles, and order statistics. The distribution is thoroughly characterized using multiple approaches and maximum likelihood estimation is used to determine the parameters. The model's effectiveness is evaluated using three real-world datasets and a comparative analysis with established distributions highlights its advantages. The results confirm the excellence of the proposed model demonstrating its practical significance in real data analysis.

Keywords

  • Log-Dagum Distribution
  • Probability Distributions
  • Characterization
  • Simulation Study
  • Maximum Likelihood
  • Parameter Estimation
  • Singh Maddala Distribution.

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