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Original Articles

Discrete triangular associated kernel and bandwidth choices in semiparametric estimation for count data

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Pages 1813-1829 | Received 04 Sep 2012, Accepted 18 Jan 2013, Published online: 11 Feb 2013

References

  • Kokonendji CC, Mizère D, Balakrishnan N. Connection of the Poisson weight function to overdispersion and underdispersion. J. Statist. Plann. Inference. 2008;138:1287–1296. doi: 10.1016/j.jspi.2007.05.028
  • Kokonendji CC, Senga Kiessé T, Balakrishnan N. Semiparametric estimation for count data through weighted distributions. J. Statist. Plann. Inference. 2009;139:3625–3638. doi: 10.1016/j.jspi.2009.04.013
  • Hjort NL, Glad IK. Nonparametric density estimation with a parametric start. Ann. Statist. 1995;23:882–904. doi: 10.1214/aos/1176324627
  • Kokonendji CC, Senga Kiessé T, Zocchi SS. Discrete triangular distributions and non-parametric estimation for probability mass function. J. Nonparametr. Stat. 2007;19:241–257. doi: 10.1080/10485250701733747
  • Bowman A. An alternative method of cross-validation for the smoothing of density estimates. Biometrika. 1984;71:352–360.
  • Marron JS. A comparison of cross-validation techniques in density estimation. Ann. Statist. 1987;15:152–162. doi: 10.1214/aos/1176350258
  • Simonoff JS, Tutz G. Smoothing methods for discrete data. In: Schimek MG, editor. Smoothing and regression: approaches, computation, and application. New York: Wiley; 2000. pp. 193–228.
  • Zougab N, Adjabi S, Kokonendji CC. Binomial kernel and Bayes local bandwidth in discrete function estimation. J. Nonparametr. Stat. 2012;24:783–795. doi: 10.1080/10485252.2012.678847
  • Zougab N, Adjabi S, Kokonendji CC. Adaptive smoothing in associated kernel discrete functions estimation using Bayesian approach. J. Stat. Comput. Simul. 2012. DOI:10.1080/00949655.2012.686615.
  • Abdous B, Kokonendji CC, Senga Kiessé T. On semiparametric regression for count explanatory variables. J. Statist. Plann. Inference 2012;142:1537–1548. doi: 10.1016/j.jspi.2012.01.006
  • Mizère D, Kissita G, Kiyindou A. Etude statistique de l'influence de la plante hôte sur le développement de l'aleurode Aleurodicus dispersus Russel via le modèle de Poisson translaté. Annales de l'Université Marien NGOUABI Sciences et Techniques. 2008;9:19–29.
  • Tans PP, White JWC. In balance, with a little help from the plants. Science. 1988;281:183–184. doi: 10.1126/science.281.5374.183
  • Senga Kiessé T, Zocchi SS, Kokonendji CC. The R pacakge for (symmetric) discrete triangular distributions; 2009. Available from: http://cran.r-project.org/web/packages/TRIANG/index.html
  • Aitchison J, Aitken CGG. Multivariate binary discrimination by the kernel method. Biometrika. 1976;63:413–420. doi: 10.1093/biomet/63.3.413
  • Wang M-C, Van Ryzin J. A class of smooth estimators for discrete distributions. Biometrika. 1981;68:301–309. doi: 10.1093/biomet/68.1.301
  • Kokonendji CC, Kiessé TS. Discrete associated kernel method and extensions. Stat. Methodol. 2011;8:497–516. doi: 10.1016/j.stamet.2011.07.002
  • Plomion C, Leprovos G, Stokes A. Wood formation in trees. Plant Physiol. 2011;127:1513–1523. doi: 10.1104/pp.010816
  • Cuny HE, Rathgeber CBK, Lebourgeois F, Fortin M, Fournier M. Life strategies in intra-annual dynamics of wood formation: example of three conifer species in a temperate forest in north-east France. Tree Physiol. 2012;32: 612–625. doi: 10.1093/treephys/tps039

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