El Departamento de Matemática, declara las siguientes estrategias en investigación: (i) ampliar el alcance de la investigación, (ii) desarrollar una cultura enfocada en la investigación, y (iii) gestionar actividades de vinculación científica con las unidades académicas de la Universidad de Atacama, como también con otras instituciones externas. Estas estrategias están alineadas con los temas estratégicos declarados por la Universidad de Atacama en su Plan de Desarrollo Estratégico. Con el objetivo de potenciar el desarrollo de investigación del Departamento de Matemática está dividido en las áreas de: matemática, estadística y educación matemática.
Izquierdo T, Abad M, Gómez YM, Gallardo DI, Rodríguez-Vidal J.
The march 2015 catastriphic flood event and its impacts in the city of Copiapó (southern Atacama Desert). An integrated analysis to mitigate future mudflow derived damages
Journal of South American Earth Sciences, 105, 102975, 2021
Tomazella VLD, Jesus SR, Gazon AB, Louzada F, Nadarajah S, Nascimento DC, Rodriguez FA, Ramos PL.
Bayesian reference analysis for the generalized normal linear regression model
Symmetry, 13(5), 856, 2021
Villagra D, García-Cegarra A, Gallardo DI, Pacheco AS.
Energetic effects of whale-watching boats on humpback whales on a breeding ground
Frontiers in Marine Science, 7, 1208, 2021
Magalhães TM, Gallardo DI, Bourguignon M.
Improved point estimation for inverse gamma regression models
Journal of Statistical Computation and Simulation, 91(12), 2444-2456, 2021
Arnold BC, Gallardo DI, Gómez HW.
A note on the Birnbaum-Saunders conditionals model
Symmetry, 13(5), 762, 2021
Elal-Olivero D, Olivares-Pacheco JF, Venegas O, Bolfarine H, Gómez HW.
On properties of the bimodal skew-normal distribution and an application
Mathematics, 8(5), 703, 2020
Gómez-Déniz E, Gallardo DI, Gómez HW.
Quasi-binomial zero-inflated regression model suitable for variables with bounded support
Journal of Applied Statistics, 47(12), 2208-2229, 2020
Gallardo DI, Bourguignon M, Galarza CE, Gómez HW.
A parametric quantile regression model for asymmetric response variables on the real line
Symmetry, 12(12), 1938, 2020
Gallardo DI, Gómez-Déniz E, Leão J, Gómez HW.
Estimation and diagnostic tools in reparameterized slashed Rayleigh regression model. An application to chemical data
Chemometrics and Intelligent Laboratory Systems, 207, 104189, 2020
Gallardo DI, Gómez-Déniz E, Gómez HW.
Discrete generalized hald-normal distribution and its applications in quantile regression
SORT, 44(2), 265-284, 2020
Rivera PA, Barranco-Chamorro I, Gallardo DI, Gómez HW.
Scale mixture of Rayleigh distribution
Mathematics, 8(10), 1842, 2020
Kahrari F, Arellano-Valle RB, Gallardo DI.
Some simulation/computation in multivariate linear models of scale mixtures of skew-normal-cauchy distributions
Communications in Statistics - Simulation and Computation, 2020
Bourguignon M, Gallardo DI.
Reparameterized inverse gamma regression models with varying precision
Statistica Neerlandica, 74(4), 611-627, 2020
Leão J, Bourguignon M, Gallardo DI, Rocha R, Tomazella V.
A new cure rate model with flexible competing causes with applications to melanoma and transplantation data
Statistics in Medicine, 39(24), 3272-3284, 2020
Nascimento DC, Pinto-Orellana MA, Leite JP, Edwards DJ, Louzada F, Santos TEG.
Brainwave nets: are sparse dynamic models susceptible to brain manipulation experimentation?
Frontiers is Systems Neuroscience, 14, 67, 2020
Campillay-Llanos W, Guevara F, Pinto M, Torres R.
Differential and integral proportional calculus: how to find a primitive
International Journal of Mathematical Education in Science and Technology, 52(3), 463-476, 2020
Khorsheed E, Salinas HS, Bakouch HS.
A new family of skew-normal lifetime distributions for industrial applications
2020 International Conference on Data Analytic for Business and Industry
Venegas O, Salinas HS, Gómez HW.
A note on the Fisher information matrix for the flexible generalized-skew-normal model
Journal of the Korean Statistical Society, 49, 499-515, 2020
Belinchón JA, González C, Herrera R.
Recontruction and exact solutions for cosmological perturbations from a generalized gravity theory
General Relativity and Gravitation, 52, 35, 2020
Ortega-Torres E, Poblete-Cantellano M, Rojas-Medar MA.
On the convergence rate of spectral approximations for the equations of nonhomogeneous incomplessible fluids
Numerical Functional Analysis and Optimization, 42(1), 91-108, 2020
Martínez-Flórez G, Bolfarine H, Gómez YM, Gómez HW.
A unification of families of Birnbaum-Saunders distributions with applications
REVSTAT - Statistical Journal, 18(5), 637, 2020
Segovia FA, Gómez YM, Venegas O, Gómez HW.
A power Maxwell distribution with heavy tails and applications
Mathematics, 8(7), 1116, 2020
Olmos NM, Venegas O, Gómez YM, Iriarte YA.
Confluent hypergeometric slashed-Rayleigh distribution: properties, estimation and applications
Journal of Computational and Applied Mathematics, 368, 112548, 2020
de Castro M, Gómez YM.
A bayesian cure rate model based on the power piecewise exponential distribution
Methodology and Computing in Applied Probability, 22, 677-692, 2020
Gómez YM, Gallardo DI, Leão J, Gómez HW.
Extended exponential regression model: diagnostics and application to mineral data
Symmetry, 12(12), 2042, 2020
Magalhães T, Gómez YM, Gallardo DI, Venegas O.
Bias reduction for the Marshall-Olkin extended family of distributions with application to an airplane’s air conditioning system and precipitation data
Symmetry, 12(5), 851, 2020
Gómez YM, Bolfarine H, Gómez HW.
Gumbel distribution with heavy tails and applications to environmental data
Mathematics and Computers in Simulation, 157, 115-129, 2019
Gómez YM, Gallardo DI, Iriarte Y, Bolfarine H.
The Rayleigh-Lindley model: properties and applications
Journal of Applied Statisitics, 46(1), 141-163, 2019
Gómez YM, Gómez-Déniz E, Vengas O, Gallardo DI, Gómez HW.
An asymmetric bimodal distribution with applications to quantile regression
Symmetry, 11(7), 899, 2019
Olmos NM, Venegas O, Gómez YM, Iriarte YA.
An asymmetric distribution with heavy tails and its Expectation-Maximization (EM) algorithm implementation
Symmetry, 11(9), 1150, 2019
Jaque N, San Martín B.
Topological entropy for discontinuous semiflows
Journal of Differential Equations, 266(6), 3580-3600, 2019
Kondrashuk I, Notte-Cuello EA, Poblete-Cantellano M, Rojas-Medar MA.
Periodic solution and asymptotic stability for the magnetohydrodynamic equations with inhomogeneous boundary contition
Axioms, 8(2), 44, 2019
Barahona-Urbina P, Barahona-Droguett M.
Desarrollo económico y desigualdad como factores asociados a la prevalencia de la obesidad infantil en Chile
Memorias del Intituto de Investigaciones en Ciencias de la Salud, 17(1), 39-46, 2019
Salinas HS, Iriarte YA, Astorga JM.
A transmuted version of the generalized half-normal distribution
Proyecciones, 38(3), 567-583, 2019
Martínez-Flórez G, Lemonte AJ, Salinas HS.
Multivariate skew-power-normal distributions: properties and associated inference
Symmetry, 11(2), 1509, 2019
Gallardo DI, Gómez YM, Gómez HW, de Castro M.
On the use of the modified power series family of distributios in a cure rate model context
Statistical Methods in Medical Research, 29(7), 1831-1845, 2019
Garcia-Cegarra AM, Villagra D, Gallardo DI, Pacheco AS.
Statistical dependence for detecting whale-watching effects on humpback whales
The Journal of Wildlife Management, 83(2), 467-477, 2019
Rayes J, Gallardo DI, Bolfarine H, Gómez HW.
A new class of slash-elliptical distributions
Communications in Statistics - Theory and Methods, 48(12), 3105-3121, 2019
Gallardo DI, Bolfarine H, Pedroso-de-Lima AC, Romeo JS.
Destructive power series long-term suvival model with complex activation schemes
Statistics and its Interface, 12(4), 561-571, 2019
Bourguignon M, Leão J, Gallardo DI.
Parametric model regression with varying precision
Biometrical Journal, 62(1), 202-220, 2019
Gómez HJ, Gallardo DI, Venegas O.
Generalized truncation positive normal distribution
Symmetry, 11(11), 1361, 2019
Magalhães TM, Gallardo DI, Gómez HW.
Skewness of maximum likelihood estimators in the Weibull censored data
Symmetry, 11(11), 1351, 2019
Cortés MA, Elal-Olivero D, Olivares-Pacheco JF.
A new class of distributions generated by the extended bimodal-normal distribution
Journal of Probability and Statistics, 2018, 1-10, 2018
Barahona P, Veres Ferrer E, Barahona Droguett M.
Factors associated with the quality of education in Chile
Revista Internacional de Investigación en Ciencias Sociales, 14(1), 17-30, 2018
Gómez YM, Bolfarine B.
The geometric power half-normal regression model with cure rate
Hacettepe Journal of Mathematics and Statistics, 47(2), 437-446, 2018
Venegas O, Salinas HS, Gallardo DI, Bolfarine H, Gómez HW.
Bimodality based on the generalized skew-normal distribution
Journal of Statistical Computation and Simulation, 88(1), 156-181, 2018
Bolfarine H, Martínez-Flórez G, Salinas HS.
Bimodal symmetric-asymmetric power-normal families
Communications in Statistics - Theory and Methods, 47(2), 259-276, 2018
Salinas HS, Gómez HW, Martínez-Flórez G, Bolfarine H.
Skew-normal alpha-power model [Statistics 48(2014) 1414-1428]
Statistics, 2018
Gómez YM, Gallardo DI, Arnold BC.
The power piecewise exponential model
Journal of Statistical Computation and Simulation, 88(5), 825-840, 2018
Gallardo DI, Gómez YM, de Castro M.
A flexible cure rate model based on the polylogarithm distribution
Journal of Statistical Computation and Simulation, 88(11), 2137-2149, 2018
Romeo JS, Meyer R, Gallardo DI.
Bayesian bivariate survival analysis using the power variance function copula
Lifetime Data Analysis, 24(2), 355-383, 2018
Martínez-Flórez G, Salinas HS, Bolfarine H.
Bimodal regression model
Revista Colombiana de Estadística, 40(1), 65-83, 2017
Gallardo DI, Gómez YM, de Castro M.
A note on the EM algorithm for estimation in the destructive negative binomial cure rate model
Journal of Statistical Computation and Simulation, 87(12), 2291-2297, 2017
Gallardo DI, Gómez YM, Arnold BC, Gómez HW.
The Pareto IV power series cure rate model with applications
SORT, 41(2), 297-318, 2017
Gallardo DI, Romeo JS, Meyer R.
A simplified estimation procedure based on the EM algorithm for the power series cure rate model
Communication in Statistics - Simulation and Computation, 46(8), 6342-6359, 2017
Zárate A, Florez J, Angulo E, Varela-Prieto L, Infante C, Barrios F, Barraza B, Gallardo DI, Valdés J.
Burkholderia tropica as a potential microalgal growth-promoting bacterium in the biosorption of mercury from aqueous solutions
Journal of Microbiology and Biotechnology, 27(6), 1138-1149, 2017
Marin-Rubio M, Poblete-Cantellano M, Rojas-Medar M, Torres-Cerda F.
Asymptotic behavior of a system of micropolar equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016(15), 1-18, 2016
Climent-Ezquerra B, Poblete-Cantellano M, Rojas-Medar MA.
On the convergence of spectral approximations for the heat convection equations
Revista Matemática Complutense, 29(2), 405-422, 2016
Boldrini JL, Notte-Cuello E, Poblete-Cantellano M, Friz L, Rojas-Medar MA.
Pointwise error estimate for spectral Galerkin approximations of micropolar equations
Numerical Functional Analysis and Optimization, 37(3), 304-323, 2016
Arrué J, Gómez HW, Salinas HS, Bolfarine H.
A new class of skew-normal-cauchy distribution
SORT, 39(1), 35-50, 2015
Arnold BC, Gómez HW, Salinas HS.
A doubly skewed normal distribution
Statistics, 49(4), 842-858, 2015
Salinas HS, Iriarte YA, Bolfarine H.
Slashed exponentiated Rayleigh distributions
Revista Colombiana de Estadística, 38(2), 453-466, 2015
Arnold BC, Gómez HW, Olivares-Pacheco JF.
Multiple constraint and truncated skew models
Statistics, 48(5), 971-982, 2014
Guzmán D, Aguilar C, Serafini D, Rojas P, Ordoñez S, Olivares-Pacheco JF.
Relationship between the chemical composition and atomic volume in Ag-x% at Zn (x<=20) solid solutions
DYNA, 81(184), 2014
Salinas HS, Martínez-Flórez G, Moreno-Arenas G.
Censored bimodal symmetric-asymmetric alpha-power model
Revista Colombiana de Estadística, 36(2), 287-303, 2013
Arellano-Valle RB, Gómez HW, Salinas HS.
A note on the Fisher information matrix for the skew-generalized-normal model
SORT, 37(1), 19-28, 2013
Torres FJ.
Positive solutions for a third-order three-point boundary-value problem
Electronic Journal of Differential Equations, 2013(147), 1-11, 2013
Torres FJ.
Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
Bulletin of the Iranian Mathematical Society, 39(2), 307-323, 2013
Torres FJ.
Positive solutions for a mixed-order three-point boundary value problem for p-Laplacian
Abstract and Applied Analysis, 2013, 1-8, 2013
Venegas O, Rodríguez F, Gómez HW, Olivares-Pacheco JF, Bolfarine H.
Robust modeling using the generalized epsilon-skew-t distribution
Journal of Applied Statistics, 39(12), 2685-2698, 2012
Olivares-Pacheco JF, Salas E, Gómez HW, Bolfarine H.
An asymmetric extensión for the family of elliptical slash distributions
Communications in Statistics - Theory and Methods, 41(6), 1000-1012, 2012
Venegas O, Elal-Olivero D, Gómez HW.
A note on rescalings of the skew-normal distribution
Proyecciones, 31(3), 197-207, 2012
Gómez HW, Elal-Olivero D, Salinas HS, Bolfarine H.
Bimodal extension based on the skew-normal distribution with application to pollen data
Environmetrics, 22(1), 50-62, 2011
Arellano-Valle RB, Cortés MA, Gómez HW.
An extensión of the epsilon-skew-normal distribution
Communications in Statistics - Theory and Methods, 39(5), 912-922, 2010
Guillén-González F, Poblete-Cantellano M, Rojas-Medar MA.
On the variational inequalities related to viscous density-dependent incompressible fluids
Annali dell’Università di Ferrara, 56(1), 163-180, 2010
Olivares-Pacheco JF, Cornide-Reyes HC, Monasterio M.
An extension of the two-parameter Weibull distribution
Revista Colombiana de Estadística, 33(2), 219-231, 2010
Gómez HW, Castro LM, Salinas HS, Bolfarine H.
Properties and inference on the skew-curved-symmetric family of distributions
Communications in Statistics - Theory and Methods, 39(5), 884-898, 2010
Elal-Olivero D
Alpha-skew-normal distribution
Proyecciones, 29(3), 224-240, 2010
Gómez HW, Salinas HS.
Information matrix for generalized skew-normal distributions
Proyecciones, 29(2), 83-92, 2010
Gómez HW, Olivares-Pacheco JF, Bolfarine H.
An extension of the generalized Birnbaum-Saunders distribution
Statistics & Probability Letters, 79(3), 331-338, 2009
Arnold BC, Gómez HW, Salinas HS.
On multiple constraint skewed models
Statistics, 43(3), 279-293, 2009
Olivares-Pacheco JF, Elal-Olivero D, Gómez HW, Bolfarine H.
A reparametrization of triangular distribution based on the skew-symmetric distributions
Revista Colombiana de Estadística, 32(1), 145-156, 2009
Elal-Olivero D, Olivares-Pacheco JF, Gómez HW, Bolfarine H.
A new class of non negative distributions generated by symmetric distributions
Communications in Statistics - Theory and Methods, 38(7), 993-1008, 2009
Elal-Olivero D, Gómez HW, Quintana FA.
Bayesian modeling using a class of bimodal skew-elliptical distributions
Journal of Statistical Planning and Inference, 139(4), 1484-1492, 2009
Martínez E, Varela H, Gómez HW, Bolfarine H.
A note on the likelihood and moments of the skew-normal distribution
SORT, 32(1), 57-66, 2008
Gómez HW, Torres FJ, Bolfarine H.
Letter to the editor
Communications in Statistics - Theory and Methods, 37(6), 986, 2008
Gómez HW, Venegas O, Bolfarine H.
Response to the letter to the editor
Environmetrics, 18(8), 889-890, 2007
Gómez HW, Venegas O, Bolfarine H.
Skew-symmetric distributions generated by the distribution function of the normal distribution
Environmetrics, 18(4), 395-407, 2007
Salinas HS, Arellano-Valle RB, Gómez HW.
The extended skew-exponential power distributions and its derivation
Communications in Statistics - Theory and Methods, 36(9), 1673-1689, 2007
Gómez HW, Quintana FA, Torres FJ.
A new family of slash-distributions with elliptical contours
Statistics & Probability Letters, 77(7), 717-725, 2007
Gómez HW, Torres FJ, Bolfarine H.
Large-sample inference for the epsilon-skew-t distribution
Communications in Statistics - Theory and Methods, 36(1), 73-81, 2007
Gómez HW, Salinas HS, Bolfarine H.
Generalized skew-normal models: properties and inference
Statistics, 40(6), 495-505, 2006
Arellano-Valle RB, Gómez HW, Quintana FA.
Statistical inference for a general class of asymmetric distributions
Journal of Statistical Planning and Inference, 128(2), 427-443, 2005
Arellano-Valle RB, Gómez HW, Quintana FA.
A new class of skew-normal distribution
Communications in Statistics - Theory and Methods, 33(7), 1465-1480, 2004
Matemática: ecuaciones diferenciales parciales, ecuaciones diferenciales ordinarias y sistemas dinámicos y teoría ergódica.
Estadística: teoría de distribuciones, análisis de sobrevivencia con énfasis en modelos de cura y métodos computacionales aplicados a la estadística
Belinchón, José (2017)
Modified gravitational theories and cosmology (Fondecyt iniciación)
Gallardo, Diego (2016)
Extensions for cure rate models in survival analysis (Fondecyt iniciación)
Torres, Francisco (2017)
Existencia de soluciones de un problema de valores de frontera de una clase de ecuaciones diferenciales de orden arbitrario
Poblete, Mariano (2016)
Regularidad global para sistemas de Boussinesq en dominios tridimensionales
Elal, David (2014)
Una generalización de la componente simétrica de la distribución alpha-skew-normal
Torres, Francisco (2014)
Soluciones positivas en un problema de borde multipunto de orden arbitrario en espacios de banach
Barahona, Manuel (2013)
Sir Isaac Newton, el último mago babilónico
Poblete, Mariano (2013)
Soluciones fuertes para un modelo de fluidos incompresibles con difusión de masa
Olivares, Juan (2013)
Estimación robusta de la distribución Slash-Birnbaum-Saunders
Torres, Francisco (2013)
Soluciones positivas en problemas de borde de orden mixto para el p-Laplaciano con argumento avanzado
Elal, David (2012)
Distribuciones asimétricas generadas por una familia de densidades simétricas platicúrticas
Salinas, Hugo (2011)
Una familia de distribuciones epsilon-skew-slash. Propiedades e inferencias
Cortés, Milton (2011)
Una extensión de la distribución potencia skew-normal
Torres, Francisco (2011)
Soluciones positivas en problemas de borde de orden mixto para el p-Laplaciano
Poblete, Mariano (2011)
Soluciones fuertes para un sistema tipo Boussinesq
Barahona, Manuel (2010)
Historia y evolución del concepto de función
Torres, Francisco (2009)
Soluciones positivas en problemas de borde de orden fraccionario
Salinas, Hugo (2009)
Una nueva familia de análisis de sobrevivencia generada a partir de una mezcla de distribuciones
Elal, David (2009)
Distribuciones asimétricas generadas por una familia de densidades simétricas platicúrticas
Cortés, Milton (2009)
Flexibilidad en el coeficiente de curtosis en una nueva familia skew-simétrica basada en la distribución normal
Poblete, Mariano (2009)
Estimación de tasas del método de Galerkin para una ecuación de fluidos no-homogéneos
Rosita Magnata (rosita.magnata@uda.cl)
+56 (52) 225 5565
Avenida Copayapu 485
Copiapó
Región de Atacama
Chile