Technical Reports & Papers submitted to International Journals.
- Alegria, A. and Porcu, E. (2017). Space-Time Geostatistical Models with both Linear and Seasonal Structures in the Temporal Components. Technical Report, UTFSM.
- Ferreira, G., Lagos, B., Porcu, E. and Mateu, J. (2017). Prediction Intervals in Locally Stationary Processes through Bootstrap Techniques. Submitted.
- Cleanthous, G., Georgiadis, A. and Porcu, E. (2019). Minimax density estimation on metric spaces. Technical Report, Trinity College Dublin.
- Alegria, A., Cleanthous, G., Georgiadis, Porcu, E. and, White, P. (2021). Random Fields on the Hypertorus: Theory and Applications. Submitted.
- Cornejo-Porcile, A., Correa-Fuentes, S., Lima-Velásquez, M., Ovando-Vidal, S., Cid, M.A., Porcu, E, Zepeda, R., Gallardo-Garrido, C. (2020). Priorization of patients with pneumonia caused by SARS-COV-2: Clinical Score at emergency room. Submitted.
- Malyarenko, A. and Porcu, E. (2021). Multivariate Random Fields evolving temporally over the Hypertorus. Submitted.
- López do Prado, M., Peron, A. and Porcu, E. (2021). Dimension Walks over Generalized Spaces. Submitted.
- Emery, X. and Porcu, E. (2022). Integral Representations, Extension Theorems and Walks through Dimensions under Radial Exponential Convexity.
- Bissiri, P.G. and Porcu, E. (2022). Nonparametric Bayesian Modeling of Covariance Functions on Spheres cross Time. Submitted.
- Ostoja-Starzewski, M. and Porcu, E. (2022). Fractal and Hurst effects in Stochastic Mechanics. A review. Submitted.
- Porcu, E., White, P. and Genton, M. (2022). Nonseparable Space-Time Stationary Covariance Functions on Networks cross time. Submitted.
- Alegria, A. and Porcu, E. (2022). Hybrid Parametric Classes of Isotropic Covariance Functions for Spatial Random Fields. Submitted. Waiting for the PLR soon.
- Ferreira, V., Porcu, E. and Zubelli, J. (2022). Random Fields on Hilbert spaces with their Equivalent Gaussian Measures. Submitted.
- Emery, X., Mery, N. and Porcu, E. Vector-Valued Gaussian Processes on Non-Euclidean Product Spaces: Constructive Methods and Fast Simulations based on Partial Spectral Inversion. Submitted.
- Porcu, E., White, P. and Genton, M. (2022). Nonseparable Space-Time Stationary Covariance Functions on Networks cross Time. Submitted.
- Porcu, E., Bevilacqua, M., Schaback, R. and Oates, C. (2023). The Mat\’ern Model: A Journey through Statistics, Numerical Analysis and Machine Learning. Submitted.
- Henschel, A., Saif-Ali, R., Al-Habori, M., Kamarul, M., Pagani, L., Al Hageh, C., Porcu, E., Taleb, N., Platt, D. and Zalloua, P. (2023). Post Last Glacial Period witnessed Significant Human Mobility from the Levant into Yemen.
- Faouzi, T., Furrer, R. and Porcu, E. (2023). Compatibility of Space-Time Kernels with Full, Dynamical, or Compact Support.
Published
2023.
- Faouzi, T., Porcu, E., Kondrashuk, I. and Bevilacqua, M. (2023). Convergence arguments to bridge Cauchy and Matérn covariance functions. Statistical Papers. Accepted.
- Emery, X. and Porcu, E. (2023). Extending the Gneiting class for modeling spatially isotropic and temporally symmetric vector random fields. Journal of Mathematical Analysis and Applications. Accepted.
- Emery, X. and Porcu, E. (2022). The Schoenberg Kernel and More Flexible Multivariate Covariance Models in Euclidean spaces. Computational and Applied Mathematics. Accepted.
- Hubbert, S., Porcu, E., Oates, C. and Girolami, M. (2022). Sobolev spaces, Kernels and Discrepancies over Hyperspheres. Transactions on Machine Learning Research. Accepted.
- Jetti, Y.S, Porcu, E. and Ostoja Starzewski, M. (2022). Decouplers of Fractal Dimensions and Hurst Effects: New Models, with application to MOSP. Zeitschrift fur Angewandte Mathematik und Physik. Accepted.
2022.
- Bevilacqua, M., Caamaño, C. and Porcu, E. (2022). Unifying Compactly Supported and Matérn Covariance Functions in Spatial Statistics. Journal of Multivariate Analysis. Accepted.
- Caraballo, T., Piña, J. and Porcu, E. (2021). A Stochastic Fractional Laplace Equation driven by colored noise on Bounded Domain, and its Covariance Functional. Stochastic Models. Accepted.
- Emery, X., Porcu, E. and White, P. (2021). New validity conditions for the multivariate Matérn coregionalization model, with an application to exploration geochemistry. Mathematical Geology. Accepted.
- Giraldo, R., Ramirez, A. and Porcu, E. (2020). A Normality Test in Geostatistics Based on Mahalanobis Distance. Ciencia en Desarrollo. Accepted.
- Cleanthous, G., Georgiadis, A. and Porcu, E. (2020). Oracle inequalities and upper bounds for kernel density estimators on manifolds and more general metric spaces. Journal of Nonparametric Statistics. Accepted.
- Blake, L., Porcu, E. and Hammerling, D. (2022). Parametric Nonstationary Covariance Functions on Spheres. Stat. Accepted.
- Porcu, E., Feng, S., Emery, X. and Peron, A.P. (2021). Rudin Extensions Theorems on Product Spaces, Turning Bands, and Random Fields on Balls cross Time. Bernoulli. Accepted.
- Porcu, E., Emery, X. and Mery, N. (2022). Criteria and Characterizations for Spatially Isotropic and Temporally Symmetric Matrix-Valued Covariance Functions. Computational and Applied Mathematics. Accepted.
- Ferreira, G., Mateu, J., Porcu, E. (2022). Multivariate Kalman Filtering for Spatio-Temporal Processes. Stochastic Environmental Research Risk Assessment. Accepted.
- Bissiri, P.G., Cleanthous, G., Emery, X., Nipoti, B. and Porcu, E. (2020). Nonparametric Bayesian Modelling of Longitudinally Integrated Covariance Functions on Spheres. Computational Statistics and Data Analysis. Accepted.
- Barbosa, V., Gregori, P., Peron, A.P. and Porcu, E. (2021). Series expansions among spaces of positive definite functions on compact two-point homogeneous spaces. Journal of Mathematical Analysis and Applications. Accepted.
- Porcu, E., Emery, X. and Peron, A. (2021). Nested Covariance Functions on Graphs with Euclidean Edges cross Time. Electronic Journal of Statistics.
- Emery, X., Peron, A. and Porcu, E. (2022). A catalogue of Multivariate Covariance Models on Hypertori. Stochastic Environmental Research Risk Assessment. Accepted.
- Emery, X., Mery, N., Khorram, F. and Porcu, E. (2021), Compactly-supported isotropic covariances on spheres obtained from matrix-valued covariances in Euclidean spaces. Constructive Approximation. Accepted.
- Antouche, M., Lara Carrion, L., Porcu, E. and Bramstedt, K. (2022). The effect of the COVID-19 pandemic on deceased and living organ donors in the United States of America. Scientific Reports. Accepted.
2021.
- Bachoc, F., Porcu, E., Bevilacqua, M., Furrer, R. and Faouzi. T. (2020). Asymptotically Equivalent Prediction in Multivariate Geostatistics. Bernoulli. Accepted.
- Barp, A., Oates, C., Porcu, E. and Girolami, M. (2018). A Riemannian–Stein Kernel Method. Bernoulli. Accepted-
- Alegría, A.A., Emery, X. and Porcu, E. (2020). Cross-Dimple for Isotropic Bivariate Random Fields with Mat\’ern Covariance Functions. Spatial Statistics. Accepted.
- Faouzi, T., Porcu, E., Kondrachuk, I. and Malyarenko, A. (2021). A deep look into the Dagum family of isotropic covariance functions. Advances in Applied Probability. Accepted.
- Cleanthous, G, Porcu, E. and White, P.A. (2020). Regularity and Approximation of Gaussian Random Fields Evolving Temporally over Compact Two-Point Homogeneous Spaces. Test. Accepted.
- Laudani, R., Zhang, D., Faouzi, T., Chamorro, L., Porcu, E. and Ostoja-Starzewski, M. (2019). On the fractal and long-memory effects of turbulent velocity: theory and experiments. Physics of Fluids. Accepted.
- Alegría, A., Bissiri, P.G., Cleanthous, G., Porcu, E. and White, P.A. (2020). Multivariate Isotropic Random Fields on Spheres: Nonparametric Bayesian Modeling and L^p Fast Approximations. Electronic Journal of Statistics. Accepted.
- Alegria, A., Cuevas, F., Diggle, P. and Porcu, E. (2021). A new family of covariance functions on spheres. Spatial Statistics. Accepted.
- Papalexiou, S., Serinaldi, F. and Porcu, E. (2020). Advancing Space-Time Simulation of Random Fields: From Storms to Cyclones and Beyond. Water Resources Research. Accepted.
- Porcu, E. and White, P. (2020). Random Fields on the Hypertorus: Covariance Modeling and Applications. Environmetrics. Accepted.
- Zhang, X., Malyarenko, A., Porcu, E., Ostoja-Starzewski, M. (2021). Elastodynamic problem on tensor random fields with fractal and Hurst effects. Meccanica. Accepted.
- Bachoc, F., Peron, A. and Porcu, E. (2021). Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus. Theory of Probability and Mathematical Statistics. Accepted.
- Emery, X., Peron, A.P. and Porcu, E. (2021). Dimension Walks over Hyperspheres. Computational and Applied Mathematics. Accepted.
2020.
- Senoussi, R. and Porcu, E. (2020). Nonstationary Space-time Covariance Functions induced by Temporally Dynamical Spatial Diffeomorphisms. Scandinavian Journal of Statistics. Accepted.
- Fouzi, T., Porcu, E. and Bevilacqua, M. (2020). Space-Time Estimation and Prediction under Infill Asymptotics with Compactly Supported Covariance Functions. Statistica Sinica. Accepted.
- Cleanthous, G., Georgiadis, A. and Porcu, E. (2019). Minimax density estimation on Sobolev spaces with dominating mixed smoothness. Electronic Journal of Statistics. Accepted.
- Porcu, E., Bissiri, P.G., Tagle, F.,Cornejo, R. and Quintana, F. (2018). Nonparametric Bayesian Modeling and Estimation of Spatial Correlation Functions for Global Data. Bayesian Analysis. Accepted.
- Porcu, E., Zastavnyi, V.P., Bevilacqua, M. and Emery, X. (2019). Stein Hypothesis and Screening Effect for Covariances with Compact Support. Electronic Journal of Statistics. Accepted.
- Porcu, E., Furrer, R. and Nychka, D. (2020). 30 Years of Space-Time Covariance Functions. WIREs Computational Statistics. Accepted.
- Cleanthous, G., Georgiadis, A., Lang, A. and Porcu, E. (2020). Regularity, Continuity and Approximation of Isotropic Gaussian Random Fields on Compact Two-Point Homogeneous Spaces. Stochastic Processes and their Application. Accepted.
- Porcu, E. Mendoza, E., Senoussi, R. and Bevilacqua, M. (2020). Covariance Functions over Spheres: the Reduction Problem via Deformations. Electronic Journal of Statistics. Accepted.
- Faouzi, T., Porcu, E., Kondrachuk, I. and Bevilacqua, M. (2020). Zastavnyi operators and positive definite radial functions. Statistics and Probability Letters, 157, 108620.
- Arafat, A., Gregori, P., & Porcu, E. (2020). Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres. Statistics & Probability Letters, 156, 108618.
- Nishawala, V.V., Ostoja-Starzewski, M., Porcu, E. and Shen, L. (2020). Random fields with fractal and Hurst effects in mechanics. Encyclopedia of Continuum Mechanics. To appear.
- Menegatto, V., Oliveira, C. and Porcu, E. (2019). Gneiting Class, Semi-Metric Spaces, and Isometric Embeddings. Constructive Mathematical Analysis. To appear.
- Porcu, E., Bevilacqua, M. and Genton, M.G. (2020). Nonseparable, Space-Time Covariance Functions with Dynamical Compact Supports. Statistica Sinica. Accepted.
- Padilla, L. Lagos-Alvárez, B., Mateu, J. and Porcu, E. (2020). Space-time Autoregressive Estimation and Prediction in the Presence of Missing Data based on Kalman Filtering. Environmetrics. Accepted.
- Bissiri, P.G., Peron, A.P. and Porcu, E. Strict Positive Definiteness under Axial Symmetry on the Sphere. Stochastic Environmental Research Risk Assessment. Accepted.
- Bevilacqua, M., Diggle, P.J. and Porcu, E. (2019). Families of Covariance Functions for Bivariate Random Fields on Spheres. Spatial Statistics. Accepted.
- Porcu, E., Rysgaard-Jensen, J. and Eveloy, V. (2020). Discussion on A high-resolution bilevel skew-t stochastic generator for assessing Saudi Arabia’s wind energy resources. Environmetrics. Accepted.
2019.
- Bevilacqua, M., Faouzi, T., Furrer, R., & Porcu, E. (2019). Estimation and prediction using generalized wendland covariance functions under fixed domain asymptotics. The Annals of Statistics, 47(2), 828-856.
- Emery, X., Porcu, E. and Bissiri, P.G. (2019). A semiparametric class of axially symmetric random fields on the sphere. Stochastic Environmental Research Risk Assessment, 33, 10, 1863–1874.
- Emery, X., & Porcu, E. (2019). Simulating isotropic vector-valued Gaussian random fields on the sphere through finite harmonics approximations. Stochastic Environmental Research and Risk Assessment, 33(8-9), 1659-1667.
- White, P. and Porcu, E. (2019). Towards a Complete Picture of Covariance Functions on Spheres Cross Time. Electronic Journal of Statistics, 13, 2, 2566-2594.
- Cuevas, F., Allard, D., & Porcu, E. (2019). Fast and exact simulation of Gaussian random fields defined on the sphere cross time. Statistics and Computing, 1-8.
- Alegría, A., Porcu, E., Furrer, R., & Mateu, J. (2019). Covariance functions for multivariate Gaussian fields evolving temporally over planet earth. Stochastic Environmental Research and Risk Assessment, 33(8-9), 1593-1608.
- Estrade, A., Fariñas, A., & Porcu, E. (2019). Covariance functions on spheres cross time: Beyond spatial isotropy and temporal stationarity. Statistics & Probability Letters, 151, 1-7.
- Bissiri, P. G., Menegatto, V. A., & Porcu, E. (2019). Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 15, 004.
- Pineda-Ríos, W., Giraldo, R., & Porcu, E. (2019). Functional SAR models: With application to spatial econometrics. Spatial statistics, 29, 145-159.
- Porcu, E., Castruccio, S., Alegria, A., & Crippa, P. (2019). Axially symmetric models for global data: a journey between geostatistics and stochastic generators. Environmetrics, 30(1), e2555.
- White, P. A., & Porcu, E. (2019). Nonseparable covariance models on circles cross time: A study of Mexico City ozone. Environmetrics, e2558.
- Crudu, F., & Porcu, E. (2019). Z-estimators and auxiliary information for strong mixing processes. Stochastic environmental research and risk assessment, 33(1), 1-11.
- Emery, X., Furrer, R. and Porcu, E. (2019). A Turning Bands Method for Simulating Isotropic Gaussian Random Fields on the Sphere. Statistics and Probability Letters, 144, 9–15.
2018.
- Møller, J., Nielsen, M., Porcu, E., & Rubak, E. (2018). Determinantal point process models on the sphere. Bernoulli, 24(2), 1171-1201.
- Porcu, E., Bevilacqua, M., & Hering, A. S. (2018). The Shkarofsky‐Gneiting class of covariance models for bivariate Gaussian random fields. Stat, 7(1), e207.
- Peron, A., Porcu, E., & Emery, X. (2018). Admissible nested covariance models over spheres cross time. Stochastic environmental research and risk assessment, 32(11), 3053-3066.
- Canas Rodrigues, P. and Porcu, E. (2018) 2nd Latin American Conference on Statistical Computing. Editorial, Journal of Statistical Computation and Simulation, 88:10, 1847-1849.
- Arafat, A., Porcu, E., Bevilacqua, M., & Mateu, J. (2018). Equivalence and orthogonality of Gaussian measures on spheres. Journal of Multivariate Analysis, 167, 306-318.
- Ferreira, G., Piña, N., & Porcu, E. (2018). Estimation of slowly time-varying trend function in long memory regression models. Journal of Statistical Computation and Simulation, 88(10), 1903-1920.
- Guella, J. C., Menegatto, V. A., & Porcu, E. (2018). Strictly positive definite multivariate covariance functions on spheres. Journal of Multivariate Analysis, 166, 150-159.
- Porcu, E., Alegria, A., & Furrer, R. (2018). Modeling temporally evolving and spatially globally dependent data. International Statistical Review, 86(2), 344-377.
- Berg, C., Peron, A. P., & Porcu, E. (2018). Schoenberg’s theorem for real and complex Hilbert spheres revisited. Journal of Approximation Theory, 228, 58-78.
- De la Cerda, J. C., Alegría, A., & Porcu, E. (2018). Regularity properties and simulations of Gaussian random fields on the sphere cross time. Electronic Journal of Statistics, 12(1), 399-426
- Alegría, A., Porcu, E., & Furrer, R. (2018). Asymmetric matrix-valued covariances for multivariate random fields on spheres. Journal of Statistical Computation and Simulation, 88(10), 1850-1862.
- Garcia-Perez, F.J., Lara Carrión, L. and Porcu, E. (2018). Discussion to Statistical challenges of administrative and transaction data. Journal of the Royal Statistical Society, A.
- Berg, C., Peron, A. P., & Porcu, E. (2018). Orthogonal expansions related to compact Gelfand pairs. Expositiones Mathematicae, 36(3-4), 259-277.
- Coeurjolly, J. F., & Porcu, E. (2018). Fast and exact simulation of complex-valued stationary Gaussian processes through embedding circulant matrix. Journal of Computational and Graphical Statistics, 27(2), 278-290.
- Ferreira, G., Mateu, J., & Porcu, E. (2018). Spatio-temporal analysis with short-and long-memory dependence: a state-space approach. Test, 27(1), 221-245.
2017.
- Massa, E., Peron, A. P. and Porcu, E. (2017), Positive Definite Functions on Complex Spheres and their Walks through Dimensions, SIGMA 13 (2017), 088, 16 pages.
- Alegría, A., & Porcu, E. (2017). The dimple problem related to space–time modeling under the Lagrangian framework. Journal of Multivariate Analysis, 162, 110-121.
- Porcu, E., Zastavnyi, V. P., & Bevilacqua, M. (2017). Buhmann covariance functions, their compact supports, and their smoothness. Dolomites Research Notes on Approximation, 10(1).
- Cuevas, F., Porcu, E., & Bevilacqua, M. (2017). Contours and dimple for the Gneiting class of space-time correlation functions. Biometrika, 104(4), 995-1001.
- Alegría, A., Caro, S., Bevilacqua, M., Porcu, E., & Clarke, J. (2017). Estimating covariance functions of multivariate skew-Gaussian random fields on the sphere. Spatial Statistics, 22, 388-402.
- Lagos, B., Porcu, E. and Lara, L. (2017). Discussion to the paper by Gelman and Hering. Journal of the Royal Statistical Society, A.
- Coeurjolly, J. F., & Porcu, E. (2017). Properties and Hurst exponent estimation of the circularly-symmetric fractional Brownian motion. Statistics & Probability Letters, 128, 21-27.
- Porcu, E., Fassò, A., Barrientos, S., & Catalán, P. A. (2017). Seismomatics. Stochastic Environmental Research and Risk Assessment, 31(7), 1577-1582.
- Barca, E., Porcu, E., Bruno, D., & Passarella, G. (2017). An automated decision support system for aided assessment of variogram models. Environmental modelling & software, 87, 72-83.
- Zastavnyi, V. P., & Porcu, E. (2017). On positive definiteness of some radial functions. Lobachevskii Journal of Mathematics, 38(2), 386-394.
- Berg, C., & Porcu, E. (2017). From Schoenberg coefficients to Schoenberg functions. Constructive Approximation, 45(2), 217-241.
- Alonso-Malaver, C. E., Porcu, E., & Henao, R. G. (2017). Multivariate versions of dimension walks and Schoenberg measures. Brazilian Journal of Probability and Statistics, 31(1), 144-159.
2016.
- Porcu, E., Bevilacqua, M., & Genton, M. G. (2016). Spatio-temporal covariance and cross-covariance functions of the great circle distance on a sphere. Journal of the American Statistical Association, 111(514), 888-898.
- Nishawala, V. V., Ostoja-Starzewski, M., Leamy, M. J., & Porcu, E. (2016). Lamb’s problem on random mass density fields with fractal and Hurst effects. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2196), 20160638.
- Guest Editors’ Introduction to the Special Issue on “Seismomatics: Space–Time Analysis of Natural or Anthropogenic Catastrophes”. Journal of agricultural, biological, and environmental statistics, 21(3), 403-406.
- Emery, X., Arroyo, D., & Porcu, E. (2016). An improved spectral turning-bands algorithm for simulating stationary vector Gaussian random fields. Stochastic environmental research and risk assessment, 30(7), 1863-1873.
- Bevilacqua, M., Fassò, A., Gaetan, C., Porcu, E., & Velandia, D. (2016). Covariance tapering for multivariate Gaussian random fields estimation. Statistical Methods & Applications, 25(1), 21-37.
- Hering, A.S., Bevilacqua, M. and Porcu, E. (2016). Comment on the paper “Statistical modelling of citation exchange between statistics journals” by C.~Varin, M.~Cattelan, and D.~Firth, J. R. Statist. Soc. A, 179: 1–33.
- Allard, D., Senoussi, R., & Porcu, E. (2016). Anisotropy models for spatial data. Mathematical Geosciences, 48(3), 305-328.
- Khosravi, M., Leiva, V., Jamalizadeh, A., & Porcu, E. (2016). On a nonlinear Birnbaum–Saunders model based on a bivariate construction and its characteristics. Communications in Statistics-Theory and Methods, 45(3), 772-793.
2015.
- Shen, L., Ostoja-Starzewski, M., & Porcu, E. (2015). Harmonic oscillator driven by random processes having fractal and Hurst effects. Acta Mechanica, 226(11), 3653-3672.
- Bevilacqua, M., Hering, A. S., & Porcu, E. (2015). On the flexibility of multivariate covariance models: comment on the paper by Genton and Kleiber. Statistical Science, 30(2), 167-169.
- Castro, D. and Porcu, E. (2015). Discussion on the paper by Gerber and Chopin. Journal of the Royal Statistical Society, B.
- Salazar, E., Giraldo, R., & Porcu, E. (2015). Spatial prediction for infinite-dimensional compositional data. Stochastic environmental research and risk assessment, 29(7), 1737-1749.
- Daley, D. J., Porcu, E., & Bevilacqua, M. (2015). Classes of compactly supported covariance functions for multivariate random fields. Stochastic environmental research and risk assessment, 29(4), 1249-1263.
- Alonso-Malaver, C. E., Porcu, E., & Giraldo, R. (2015). Multivariate and multiradial Schoenberg measures with their dimension walks. Journal of Multivariate Analysis, 133, 251-265.
- Ruiz-Medina, M. D., & Porcu, E. (2015). Equivalence of Gaussian measures of multivariate random fields. Stochastic environmental research and risk assessment, 29(2), 325-334.
- Bevilacqua, M., Crudu, F., & Porcu, E. (2015). Combining Euclidean and composite likelihood for binary spatial data estimation. Stochastic environmental research and risk assessment, 29(2), 335-346.
- Shen, L., Ostoja-Starzewski, M., & Porcu, E. (2015). Elastic rods and shear beams with random field properties under random field loads: fractal and Hurst effects. Journal of Engineering Mechanics, 141(7), 04015002.
- Kleiber, W., & Porcu, E. (2015). Nonstationary matrix covariances: compact support, long range dependence and quasi-arithmetic constructions. Stochastic environmental research and risk assessment, 29(1), 193-204.
- Fassò, A., & Porcu, E. (2015). Latent variables and space-time models for environmental problems. Stochastic environmental research and risk assessment, 29, 323-324.
- Shen, L., Ostoja-Starzewski, M., & Porcu, E. (2015). Responses of first-order dynamical systems to matérn, cauchy, and Dagum excitations. Mathematics and Mechanics of Complex Systems, 3(1), 27-41.