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A new one-parameter discrete distribution with associated regression and integer-valued autoregressive models

  • Emrah Altun EMAIL logo
Published/Copyright: July 24, 2020
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 70 Issue 4

Abstract

This study introduces the Poisson-Bilal distribution and its associated two models for modeling the over-dispersed count data sets. The Poisson-Bilal distribution has tractable properties and explicit forms for its statistical properties. A new over-dispersed count regression model and integer-valued autoregressive process with flexible innovation distribution are defined and studied comprehensively. Two real data sets are analyzed to prove empirically the importance of proposed models. Empirical findings show that the Poisson-Bilal distribution has important application fields in time series and regression modeling.

Keywords: Bilal distribution; count data; regression model; over-dispersion; INAR(1) process
MSC 2010: Primary 62E15

  1. (Communicated by Gejza Wimmer)

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Received: 2019-07-16
Accepted: 2019-11-14
Published Online: 2020-07-24
Published in Print: 2020-08-26

© 2020 Mathematical Institute Slovak Academy of Sciences

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  1. Regular papers
  2. Some relative normality properties in locales
  3. Upper bounds of some special zeros for the Rankin-Selberg L-function
  4. Factorization of polynomials over valued fields based on graded polynomials
  5. Varieties of ∗-regular rings
  6. On reverse Hölder and Minkowski inequalities
  7. Coefficient inequalities related with typically real functions
  8. Existence of wandering and periodic domain in given angular region
  9. The sharp bounds of the second and third Hankel determinants for the class 𝓢𝓛*
  10. Uniqueness problem of meromorphic mappings of a complete Kähler manifold into a projective space
  11. Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces
  12. Bn-maximal operator and Bn-singular integral operators on variable exponent Lebesgue spaces
  13. 𝔻-recurrent ∗-Ricci tensor on three-dimensional real hypersurfaces in nonflat complex space forms
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  16. Multi-opponent James functions
  17. An alternative distribution to Lindley and Power Lindley distributions with characterizations, different estimation methods and data applications
  18. A new one-parameter discrete distribution with associated regression and integer-valued autoregressive models
  19. On the bond pricing partial differential equation in a convergence model of interest rates with stochastic correlation
  20. Characterization of linear mappings on (Banach) ⋆-algebras by similar properties to derivations
https://doi.org/10.1515/ms-2017-0407
Keywords for this article
Bilal distribution; count data; regression model; over-dispersion; INAR(1) process

Articles in the same Issue

  1. Regular papers
  2. Some relative normality properties in locales
  3. Upper bounds of some special zeros for the Rankin-Selberg L-function
  4. Factorization of polynomials over valued fields based on graded polynomials
  5. Varieties of ∗-regular rings
  6. On reverse Hölder and Minkowski inequalities
  7. Coefficient inequalities related with typically real functions
  8. Existence of wandering and periodic domain in given angular region
  9. The sharp bounds of the second and third Hankel determinants for the class 𝓢𝓛*
  10. Uniqueness problem of meromorphic mappings of a complete Kähler manifold into a projective space
  11. Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces
  12. Bn-maximal operator and Bn-singular integral operators on variable exponent Lebesgue spaces
  13. 𝔻-recurrent ∗-Ricci tensor on three-dimensional real hypersurfaces in nonflat complex space forms
  14. More on closed non-vanishing ideals in CB(X)
  15. The Lindley negative-binomial distribution: Properties, estimation and applications to lifetime data
  16. Multi-opponent James functions
  17. An alternative distribution to Lindley and Power Lindley distributions with characterizations, different estimation methods and data applications
  18. A new one-parameter discrete distribution with associated regression and integer-valued autoregressive models
  19. On the bond pricing partial differential equation in a convergence model of interest rates with stochastic correlation
  20. Characterization of linear mappings on (Banach) ⋆-algebras by similar properties to derivations
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