- Nonparametric Statistics
- Machine Learning
- Difference Equations and Discrete Dynamics.
- Biostatistics and Biomathematics.
- Harmonic and Functional Analysis and their Applications to Statistics.
Paper in Progress
- Semi-Parametric Rank Estimation of Partially Linear Models in Special Atom Spaces .
- Discrete Dynamics of Dynamical Neural Fields .
- Recurent Neural Networks for a discrete Amari Equation .
- On the equivalence between weak BMO spaces and the space of derivatives of the Zygmund class, submitted. Preprint
- Analytic Characterization of High dimension Special Atom Spaces, jointly with G. De Souza, submitted. Preprint. ArXiv
- A Nearly Exact Discretization Scheme for the FitzHugh-Nagumo Model, Jointly with Lloyd Edwards, submitted. Preprint
Papers published or accepted
- Analysis of EEG time series data using complex geometric structurization, Jointly with Lloyd Edwards To appear in Neural Computations. Preprint. ArXiv
- A consistent estimator of nontrivial stationary solutions of dynamical neural fields Stats, 2021, 4(1), 122-137; https://doi.org/10.3390/stats4010010. pdf
- Double Penalized Semi-Parametric Signed-Rank Regression with Adaptive LASSO Journal of Systems Science and Complexity, 33; 1-21, 2020. pdf
- The special atom space and Haar wavelets in higher dimensions,
jointly with Geraldo de Souza, Ngalla Djitte, Mariama Ndiaye Demonstratio Mathematica, 53; 131-151, (2020). DOI: 10.1515/dema-2020-0011. pdf
- Artificial neural networks with a signed-rank objective function and applications, jointly with Lloyd Edwards Communication in Statistics--Simulation and Computation (2020). DOI: 10.1080/03610918.2020.1714659. pdf
- Some Useful Inequalities and the Second Derivative
jointly with Geraldo de Souza, Seth Kermausuor Revista electronica da sociedade Brasileira de Matematica, V.8, N0. 3, 2020. pdf
- Note on a Generalization of the space of derivatives of Lipschitz functions , jointly with G. de Souza and S. Kermausuor Journal of the Nigerian Mathematical Society, Vol. 38, 468-489. pdf
- Revisiting Norms and duality in Rn , jointly with Marcelo F. De Almeida and Geraldo de Souza JBMS, to appear.
- Estimation for generalized partially functional
linear additive regression model , jointly with J. Du, R. Cao, Z. Zhang Journal of Applied Statistics (2018), DOI: 10.1080/02664763.2018.1523378. pdf
- A Bayesian approach to Generalized Signed-Rank Estimation for Nonlinear Models with Multidimensional Indices , jointly with B. Nguelifack, G. Miankonkana Journal of Mathematics and Statistical Science, Vol.4, Issue 8, (2018). pdf
- Nearly Exact Discretization of Single Species Populations Models , jointly with S. Elady, B. Dennis, G. Livadiotis Natural Resource Modeling (2018), DOI:10.1111/nrm.12167. pdf
- Hierarchical Competition Models with Allee Effect III: Multispecies , jointly with S. Elaydi and G. Livadiotis Journal of Biological Dynamics (2018) , DOI: 10.1080/17513758.2018.1439537. pdf
- Model averaging based on rank , jointly with J. Du, X. Chen, Z. Sun Journal of Applied Statistics (2017), DOI: 10.1080/02664763.2017.1401051. pdf
- Increased Risk of Autism Development in Children who Mothers Experienced Birth Complications or Received Labor and Delivery Drugs, jointly with M. Smallwood, A. Sareen, E. Baker, R. Hannusch, and T. Williams Journal of American Society of Neurochemistry (ASN Neuro), ASN Neuro (2016), 1-7, DOI: 10.1177/1759091416659742. pdf
- Signed-Rank Analysis of a Partial Linear Model with B-splines Estimated Monotone Nonparametric Function , jointly with B. Nguelifack Communication in Statistics-Theory and Method (2016), DOI: 10.1080/03610926.2015.1089289, pdf
- On stochastic modified Beverton-Holt model with Allee effects II: the Cushing-Henson conjecture , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis Journal of Difference Equations and Applications (2016), DOI:10.1080/10236198.2015.1075521. pdf
- Allee effects and resilience in stochastic populations, jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis Journal of Theoretical Ecology (2015), DOI:10.1007/s12080-015-0288-2. pdf
- Kappa function as a unifying framework for discrete population modeling , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis Natural Resource Modeling (2015), DOI:10.1111/nrm.12084. pdf
- A Stochastic modified Beverton-Holt model with Allee effects , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis Journal of Difference Equations and Applications (2015), DOI: 10.1080/10236198.2015.1074194, pdf.
- Hierarchical Competition Models with Allee Effect , jointly with G. Livadiotis, L. Assas, S. Elaydi, D. Ribble Journal of Biological Dynamics (2014), DOI:10.1080/17513758.2014.923118 pdf.
- Hierarchical Competition models with the Allee effect II: the case of immigration , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis Journal of Biological Dynamics (2015), 9:1, 288-316, DOI: 10.1080/17513758.2015.1077999, pdf.
- Generalized Signed-rank Estimation for Nonlinear Models with Multidimensional Indices , jointly with B. Nguelifack and A. Abebe Journal of Nonparametric Statistics (2015), DOI:10.1080/10485252.2015.1029474, pdf.
- A discrete time Host-Parasitoid Discrete Model with an Allee effect , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis Journal of Biological Dynamics (2015), 9:1, 34-51, DOI:
- Efficient Rank Regression with Wavelets Estimated Scores , jointly with A. Abebe, G. De Souza Communications and Statistics-Theory and Methods (2014), 43 (18), 3986-3996. pdf.
- Atomic Decomposition of Weighted Lorentz Spaces and Operators , jointly with G. De Souza, F. Ngwane, A. Abebe Journal of Function Spaces (2014), DOI:10.1155/2014/626314. pdf.
- Competition Models with Allee Effect , jointly with G. Livadiotis, L. Assas, S. Elaydi, D. Ribble Journal of Difference Equations and Applications (2014), 20 (8), 1127-1151. pdf.
- Characterization Lacunary functions in Weighted Bergman-Besov-Lipschitz Spaces , jointly with G. De Souza and A. Abebe and R. Aulaskari Complex Variables and Elliptic Equations (2013), 58, 157-162. pdf.
- A Note on Multiplication and Composition Operators in Lorentz Spaces L(p,q) , jointly with P. Alfonso, G. De Souza and A. Abebe Journal of Functions Spaces and Applications (2012), DOI:10.1155/2012/293613. pdf.
- Seasonal variation in diagnostic tests for pituitary pars intermedia dysfunction in normal aged geldings , jointly with C. Schreiber C.M., Stewart A. J., Behrend E.N., Wright J., Kemppainen R. and Busch K.A.
Journal of the American Veterinary Medical Association (2012), 241(2):241-248. pdf.
- Seasonal changes in plasma alpha-melanocyte-stimulating hormone
and adrenocorticotropic hormone in response to thyrotropin-releasing hormone administration in normal aged horses , jointly with R. A. Funk, A. J. Stewart, A. A. Wooldridge, R. J. Kemppainen, E. N. Behrend, Q. Zhong and A. K. Johnson J. Vet. Intern. Med. (2011), 25: 579-585. pdf