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The Alpha Power Rayleigh-G family of distributions

  • Friday Ikechukwu Agu EMAIL logo , Joseph Thomas Eghwerido and Cosmas Kaitani Nziku
Published/Copyright: August 9, 2022
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 72 Issue 4

Abstract

This paper introduces a two-parameters generator of continuous statistical probability distributions called the Alpha Power Rayleigh-G (APRAY-G) family, some statistical properties of the family of distributions were derived, and we introduced a two-submodels of the generator. We estimate the parameters of the models based on the method of maximum likelihood estimation and explored simulation studies based on the introduced submodels. We observed that the biasedness and root mean square errors decrease as the sample size becomes large. We examined the applications of the models based on real-life data sets. We compared the obtained results with some existing probability distribution models. The results showed that the proposed models gave a better fitness to the data under investigation.

Keywords: Bivariate extensions; bivariate quantile; linear representation; quantile function; order statistics; kurtosis and skewness

  1. (Communicated by Gejza Wimmer)

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Received: 2021-01-04
Accepted: 2021-06-01
Published Online: 2022-08-09
Published in Print: 2022-08-26

© 2022 Mathematical Institute Slovak Academy of Sciences

Articles in the same Issue

  1. Regular Papers
  2. Variants of Booleanness: Congruences of a partial frame versus those of its free frame
  3. Models, coproducts and exchangeability: Notes on states on Baire functions
  4. Inverse tangent series involving pell and pell-lucas polynomials
  5. A new family of two-variable polynomials based on hermite polynomials
  6. Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
  7. On the solvability of a fourth-order differential evolution equation on singular cylindrical domain in R4
  8. Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition
  9. Stability criteria for systems of two first-order linear ordinary differential equations
  10. A perturbed eigenvalue problem in exterior domain
  11. On extensions of bilinear maps
  12. Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators
  13. Weighted composition operators from the Besov space into nth weighted type spaces
  14. Fuzzy ideal topological vector spaces
  15. Partial actions on convergence spaces
  16. On quasi-small loop groups
  17. Topologies generated by symmetric porosity on normed spaces
  18. The Alpha Power Rayleigh-G family of distributions
  19. An alternative for Laplace Birnbaum-Saunders distribution
  20. Existence of positive solutions for boundary value problems with p-Laplacian operator
https://doi.org/10.1515/ms-2022-0073
Keywords for this article
Bivariate extensions; bivariate quantile; linear representation; quantile function; order statistics; kurtosis and skewness

Articles in the same Issue

  1. Regular Papers
  2. Variants of Booleanness: Congruences of a partial frame versus those of its free frame
  3. Models, coproducts and exchangeability: Notes on states on Baire functions
  4. Inverse tangent series involving pell and pell-lucas polynomials
  5. A new family of two-variable polynomials based on hermite polynomials
  6. Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
  7. On the solvability of a fourth-order differential evolution equation on singular cylindrical domain in R4
  8. Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition
  9. Stability criteria for systems of two first-order linear ordinary differential equations
  10. A perturbed eigenvalue problem in exterior domain
  11. On extensions of bilinear maps
  12. Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators
  13. Weighted composition operators from the Besov space into nth weighted type spaces
  14. Fuzzy ideal topological vector spaces
  15. Partial actions on convergence spaces
  16. On quasi-small loop groups
  17. Topologies generated by symmetric porosity on normed spaces
  18. The Alpha Power Rayleigh-G family of distributions
  19. An alternative for Laplace Birnbaum-Saunders distribution
  20. Existence of positive solutions for boundary value problems with p-Laplacian operator
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