placeholder image

Investigación

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.

Publicaciones WoS/Scopus

2021

  1. 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

  2. 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

  3. 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

  4. 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

  5. Arnold BC, Gallardo DI, Gómez HW.
    A note on the Birnbaum-Saunders conditionals model
    Symmetry, 13(5), 762, 2021

2020

  1. 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

  2. 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

  3. 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

  4. 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

  5. Gallardo DI, Gómez-Déniz E, Gómez HW.
    Discrete generalized hald-normal distribution and its applications in quantile regression
    SORT, 44(2), 265-284, 2020

  6. Rivera PA, Barranco-Chamorro I, Gallardo DI, Gómez HW.
    Scale mixture of Rayleigh distribution
    Mathematics, 8(10), 1842, 2020

  7. 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

  8. Bourguignon M, Gallardo DI.
    Reparameterized inverse gamma regression models with varying precision
    Statistica Neerlandica, 74(4), 611-627, 2020

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. Segovia FA, Gómez YM, Venegas O, Gómez HW.
    A power Maxwell distribution with heavy tails and applications
    Mathematics, 8(7), 1116, 2020

  18. 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

  19. 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

  20. Gómez YM, Gallardo DI, Leão J, Gómez HW.
    Extended exponential regression model: diagnostics and application to mineral data
    Symmetry, 12(12), 2042, 2020

  21. 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

2019

  1. 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

  2. Gómez YM, Gallardo DI, Iriarte Y, Bolfarine H.
    The Rayleigh-Lindley model: properties and applications
    Journal of Applied Statisitics, 46(1), 141-163, 2019

  3. 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

  4. 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

  5. Jaque N, San Martín B.
    Topological entropy for discontinuous semiflows
    Journal of Differential Equations, 266(6), 3580-3600, 2019

  6. 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

  7. 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

  8. Salinas HS, Iriarte YA, Astorga JM.
    A transmuted version of the generalized half-normal distribution
    Proyecciones, 38(3), 567-583, 2019

  9. Martínez-Flórez G, Lemonte AJ, Salinas HS.
    Multivariate skew-power-normal distributions: properties and associated inference
    Symmetry, 11(2), 1509, 2019

  10. 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

  11. 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

  12. 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

  13. 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

  14. Bourguignon M, Leão J, Gallardo DI.
    Parametric model regression with varying precision
    Biometrical Journal, 62(1), 202-220, 2019

  15. Gómez HJ, Gallardo DI, Venegas O.
    Generalized truncation positive normal distribution
    Symmetry, 11(11), 1361, 2019

  16. Magalhães TM, Gallardo DI, Gómez HW.
    Skewness of maximum likelihood estimators in the Weibull censored data
    Symmetry, 11(11), 1351, 2019

2018

  1. 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

  2. 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

  3. 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

  4. 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

  5. Bolfarine H, Martínez-Flórez G, Salinas HS.
    Bimodal symmetric-asymmetric power-normal families
    Communications in Statistics - Theory and Methods, 47(2), 259-276, 2018

  6. Salinas HS, Gómez HW, Martínez-Flórez G, Bolfarine H.
    Skew-normal alpha-power model [Statistics 48(2014) 1414-1428]
    Statistics, 2018

  7. Gómez YM, Gallardo DI, Arnold BC.
    The power piecewise exponential model
    Journal of Statistical Computation and Simulation, 88(5), 825-840, 2018

  8. 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

  9. Romeo JS, Meyer R, Gallardo DI.
    Bayesian bivariate survival analysis using the power variance function copula
    Lifetime Data Analysis, 24(2), 355-383, 2018

2017

  1. Martínez-Flórez G, Salinas HS, Bolfarine H.
    Bimodal regression model
    Revista Colombiana de Estadística, 40(1), 65-83, 2017

  2. 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

  3. Gallardo DI, Gómez YM, Arnold BC, Gómez HW.
    The Pareto IV power series cure rate model with applications
    SORT, 41(2), 297-318, 2017

  4. 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

  5. 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

2016

  1. 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

  2. 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

  3. 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

2015

  1. Arrué J, Gómez HW, Salinas HS, Bolfarine H.
    A new class of skew-normal-cauchy distribution
    SORT, 39(1), 35-50, 2015

  2. Arnold BC, Gómez HW, Salinas HS.
    A doubly skewed normal distribution
    Statistics, 49(4), 842-858, 2015

  3. Salinas HS, Iriarte YA, Bolfarine H.
    Slashed exponentiated Rayleigh distributions
    Revista Colombiana de Estadística, 38(2), 453-466, 2015

2014

  1. Arnold BC, Gómez HW, Olivares-Pacheco JF.
    Multiple constraint and truncated skew models
    Statistics, 48(5), 971-982, 2014

  2. 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

2013

  1. Salinas HS, Martínez-Flórez G, Moreno-Arenas G.
    Censored bimodal symmetric-asymmetric alpha-power model
    Revista Colombiana de Estadística, 36(2), 287-303, 2013

  2. 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

  3. Torres FJ.
    Positive solutions for a third-order three-point boundary-value problem
    Electronic Journal of Differential Equations, 2013(147), 1-11, 2013

  4. 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

  5. Torres FJ.
    Positive solutions for a mixed-order three-point boundary value problem for p-Laplacian
    Abstract and Applied Analysis, 2013, 1-8, 2013

2012

  1. 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

  2. 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

  3. Venegas O, Elal-Olivero D, Gómez HW.
    A note on rescalings of the skew-normal distribution
    Proyecciones, 31(3), 197-207, 2012

2011

  1. 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

2010

  1. 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

  2. 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

  3. 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

  4. 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

  5. Elal-Olivero D
    Alpha-skew-normal distribution
    Proyecciones, 29(3), 224-240, 2010

  6. Gómez HW, Salinas HS.
    Information matrix for generalized skew-normal distributions
    Proyecciones, 29(2), 83-92, 2010

2009

  1. Gómez HW, Olivares-Pacheco JF, Bolfarine H.
    An extension of the generalized Birnbaum-Saunders distribution
    Statistics & Probability Letters, 79(3), 331-338, 2009

  2. Arnold BC, Gómez HW, Salinas HS.
    On multiple constraint skewed models
    Statistics, 43(3), 279-293, 2009

  3. 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

  4. 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

  5. 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

2008

  1. 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

  2. Gómez HW, Torres FJ, Bolfarine H.
    Letter to the editor
    Communications in Statistics - Theory and Methods, 37(6), 986, 2008

2007

  1. Gómez HW, Venegas O, Bolfarine H.
    Response to the letter to the editor
    Environmetrics, 18(8), 889-890, 2007

  2. Gómez HW, Venegas O, Bolfarine H.
    Skew-symmetric distributions generated by the distribution function of the normal distribution
    Environmetrics, 18(4), 395-407, 2007

  3. 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

  4. Gómez HW, Quintana FA, Torres FJ.
    A new family of slash-distributions with elliptical contours
    Statistics & Probability Letters, 77(7), 717-725, 2007

  5. 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

2006

  1. Gómez HW, Salinas HS, Bolfarine H.
    Generalized skew-normal models: properties and inference
    Statistics, 40(6), 495-505, 2006

2005

  1. 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

2004

  1. 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

Lineas de investigación

  • 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

Proyectos externos

  1. Belinchón, José (2017)
    Modified gravitational theories and cosmology (Fondecyt iniciación)

  2. Gallardo, Diego (2016)
    Extensions for cure rate models in survival analysis (Fondecyt iniciación)

Proyectos internos

  1. Torres, Francisco (2017)
    Existencia de soluciones de un problema de valores de frontera de una clase de ecuaciones diferenciales de orden arbitrario

  2. Poblete, Mariano (2016)
    Regularidad global para sistemas de Boussinesq en dominios tridimensionales

  3. Elal, David (2014)
    Una generalización de la componente simétrica de la distribución alpha-skew-normal

  4. Torres, Francisco (2014)
    Soluciones positivas en un problema de borde multipunto de orden arbitrario en espacios de banach

  5. Barahona, Manuel (2013)
    Sir Isaac Newton, el último mago babilónico

  6. Poblete, Mariano (2013)
    Soluciones fuertes para un modelo de fluidos incompresibles con difusión de masa

  7. Olivares, Juan (2013)
    Estimación robusta de la distribución Slash-Birnbaum-Saunders

  8. Torres, Francisco (2013)
    Soluciones positivas en problemas de borde de orden mixto para el p-Laplaciano con argumento avanzado

  9. Elal, David (2012)
    Distribuciones asimétricas generadas por una familia de densidades simétricas platicúrticas

  10. Salinas, Hugo (2011)
    Una familia de distribuciones epsilon-skew-slash. Propiedades e inferencias

  11. Cortés, Milton (2011)
    Una extensión de la distribución potencia skew-normal

  12. Torres, Francisco (2011)
    Soluciones positivas en problemas de borde de orden mixto para el p-Laplaciano

  13. Poblete, Mariano (2011)
    Soluciones fuertes para un sistema tipo Boussinesq

  14. Barahona, Manuel (2010)
    Historia y evolución del concepto de función

  15. Torres, Francisco (2009)
    Soluciones positivas en problemas de borde de orden fraccionario

  16. Salinas, Hugo (2009)
    Una nueva familia de análisis de sobrevivencia generada a partir de una mezcla de distribuciones

  17. Elal, David (2009)
    Distribuciones asimétricas generadas por una familia de densidades simétricas platicúrticas

  18. Cortés, Milton (2009)
    Flexibilidad en el coeficiente de curtosis en una nueva familia skew-simétrica basada en la distribución normal

  19. Poblete, Mariano (2009)
    Estimación de tasas del método de Galerkin para una ecuación de fluidos no-homogéneos

Información de contacto

Rosita Magnata (rosita.magnata@uda.cl)
+56 (52) 225 5565
Avenida Copayapu 485
Copiapó
Región de Atacama
Chile