Di Crescenzo, A.; Paraggio, P.; Román-Román, S.; Torres-Ruiz, F. (2022). Statistical analysis and first-passage-time applications of a lognormal diffusion process with multi-sigmoidal logistic mean. Statistical Papers. Doi:10.1007/s00362-022-01349-1
Albano, G.; Giorno, V.; Román-Román, P.; Torres-Ruiz, F. (2022). Study of a general growth model. Communications in Nonlinear Science and Numerical Simulation, 106100. Doi:10.1016/j.cnsns.2021.106100
Barrera, A.; Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2021). Two multi-sigmoidal diffusion models for the study of the evolution of the COVID-19 pandemic. Mathematics, 9(19), 2049. Doi:10.3390/math9192409
Barrera, A.; Román-Román, P.; Torres-Ruiz, F. (2021). Hyperbolastic models from a stochastic differential equation point of view. Mathematics, 9(16), 1835. Doi:10.3390/math9161835
Barrera, A.; Román-Román, P.; Torres-Ruiz, F. (2021). T-Growth Stochastic Model: Simulation and Inference via Metaheuristic Algorithms. Mathematics, 9(9), 959. Doi:10.3390/math9090959
Di Crescenzo, A.; Paraggio, P.; Román-Román, S.; Torres-Ruiz, F. (2021). Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics. Applied Mathematical Modelling, 92, 884-904. Doi:10.1016/j.apm.2020.11.046
Román-Román, P.; Román-Román, S.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2021). Using First-Passage Times to Analyze Tumor Growth Delay. Mathematics, 9(6), 642. Doi:10.3390/math9060642
Albano, G.; Giorno, V.; Román-Román, P.; Román-Román, S.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2020). Inference on an heteroscedastic Gompertz tumor growth model. Mathematical Biosciences, 328, 108428. Doi:10.1016/j.mbs.2020.108428
Barrera, A.; Román-Román, P.; Torres-Ruiz, F. (2020). Two Stochastic Differential Equations for Modeling Oscillabolastic-Type Behavior. Mathematics, 8, 155. Doi:10.3390/mathmath8020155
Barrera, A.; Román-Román, P.; Torres-Ruiz, F. (2019). Hyperbolastic type-III diffusion process: Obtaining from the generalized Weibull diffusion process. Mathematical Biosciences and Engineering, 17(1), 814-833. Doi:10.3934/mbe.2020043
Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2019). A note on estimation of multi-sigmoidal Gompertz functions with random noise. Mathematics, 7(6), 541. Doi:10.3390/math7060541
Martínez-Martí, F.; Ocón-Hernández, O.; Martínez-García, M.S.; Torres-Ruiz, F.; Martínez-Olmos, A.; Carvajal, M.A.; Banqueri, J.; Palma, A. (2019). Plantar pressure changes and their relationships with low back pain during pregnancy using instrumented insoles. Journal of Sensors, Article ID 1567584. Doi:10.1155/2019/1567584
Da Luz Sant’Ana, I.; Román-Román, P.; Torres-Ruiz, F. (2018). The Hubbert diffusion process: estimation via simulated annealing and variable neighborhood search procedures. Application to forecasting peak oil production. Applied Stochastic Models in Business and Industry, 34, 376-394. Doi:10.1002/asmb.2306
Barrera-García, A.J.; Román-Román, P; Torres-Ruiz, F. (2018). A hyperbolastic type-I diffusion process: Parameter estimation by means of the firefly algorithm. Biosystems, 163, 11-22. Doi:10.1016/j.biosystems.2017.11.001
Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2018). Some notes about inference for the lognormal diffusion process with exogenous factors. Mathematics, 6(5), 85. Doi:10.3390/math6050085
Da Luz Sant’Ana, I.; Román-Román, P.; Torres-Ruiz, F. (2017). Modeling oil production and its peak by means of a stochastic diffusion process based on the Hubbert curve. Energy, 133, 455-470. Doi:10.1016/j.energy.2017.05.125
Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2017). Fitting real data by means of non-homogeneous lognormal diffusion processes. Statistics and its Interface, 10(4), 585-600. Doi:10.4310/SII.2017.v10.n4.a5
Giorno, V.; Román-Román, P.; Spina, S.; Torres-Ruiz, F. (2017). Estimating a non-homogeneous Gompertz process with jumps as model of tumor dynamics. Computational Statistics and Data Analysis, 107, 18-31. Doi:10.1016/j.csda.2016.10.005
Román-Román, P.; Román-Román, S.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2016). Modeling tumor growth in the presence of a therapy with an effect on rate growth and variability by means of a modified Gompertz diffusion process. Journal of Theoretical Biology, 407, 1-17. Doi:10.1016/jtbi.2016.07.023
Pesquera, A.; Gil-Crespo, P.P.; Torres-Ruiz, F.; Torres-Ruiz, J.; Roda-Robles, E. (2016). A multiple regression method for estimating Li in tourmaline from electron microprobe analyses. Mineralogical Magazine, 80(6), 1-5. Doi:10.1180/minmag.2016.080.046a
Román-Román, P.; Torres-Ruiz, F. (2015). A stochastic model related to the Richards-type growth curve. Estimation by means of Simulated Annealing and Variable Neighborhood Search. Applied Mathematics and Computation, 266, 579-598. Doi:10.1016/j.amc.2015.05.096
Albano, G.; Giorno, V.; Román-Román, P.; Román-Román, S.; Torres-Ruiz, F. (2015). Estimating and determining the effect of a therapy on tumor dynamics by means of a modified Gompertz diffusion process. Journal of Theoretical Biology, 364, 206-219. Doi:10.1016/j.jtbi.2014.09.014
Spina, S.; Giorno, V.; Román-Román, P.; Torres-Ruiz, F. (2014). A stochastic model of cancer growth subject to an intermittent treatment with combined effects: reduction in tumor size and raise of growth rate. Bulletin of Mathematical Biology, 76, 2711-2736. Doi:10.1007/s11538-014-0026-8
Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2014). More general problems on first-passage times for diffusion processes: A new version of the fptdApprox package. Applied Mathematics and Computation, 244, 432-446. Doi:10.1016/j.amc.2014.06.111
Román-Román, P.; Torres-Ruiz, F. (2014). Forecasting fruit size and caliber by means of diffusion processes. Application to «Valencia late» oranges. Journal of Agricultural, Biological and Environmental Statistics, 19(2), 292-313. Doi:10.1007/s13253-014-0172-3
Albano, G.; Giorno, V.; Román-Román, P.; Torres-Ruiz, F. (2013). On the effect of a therapy able to modify both the growth rates in a Gompertz stochastic model. Mathematical Biosciences, 245, 12-21. Doi:10.1016/j.mbs.2013.01.001
Barrera-García, A.J.; Román-Román, P; Torres-Ruiz, F. (2013). Fitting dynamic growth models of biological phenomena from sample observations through gaussian diffusion processes. Biosystems, 112, 284-291. Doi:10.1016/j.biosystems.2012.12.007
Román-Román, P.; Torres-Ruiz, F. (2012). Inferring the effect of therapies on tumor growth by using diffusion processes. Journal of Theoretical Biology, 314, 34-56. Doi:10.1016/j.jtbi.2012.08.006
Román-Román, P.; Torres-Ruiz, F. (2012). Modelling logistic growth by a new diffusion process: Application to biological systems. Biosystems, 110, 9-21. Doi:10.1016/j.biosystems.2012.06.004
Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2012). An R package for an efficient approximation of first-passage-time densities for diffusion processes based on the FPTL function. Applied Mathematics and Computation, 218, 8408-8428. Doi:10.1016/j.amc.2012.01.066
Albano, G.; Giorno, V.; Román-Román, P.; Torres-Ruiz, F. (2012). Inference on a stochastic two-compartment model in tumor growth. Computational Statistics and Data Analysis, 56(6), 1723-1736. Doi:10.1016/j.csda.2011.10.016
Albano, G.; Giorno, V.; Román-Román, P.; Torres-Ruiz, F. (2012). On the therapy effect for a stochastic growth Gompertz-type model. Mathematical Biosciences, 235, 148-160. Doi:10.1016/j.mbs.2011.11.007
Román-Román, P.; Romero, D.; Rubio, M.A.; Torres-Ruiz, F. (2012). Estimating the parameters of a Gompertz-type diffusion process by means of Simulated Annealing. Applied Mathematics and Computation, 218, 5121-5131. Doi:10.1016/j.amc.2011.10.077
Albano, G.; Giorno, V.; Román-Román, P.; Torres-Ruiz, F. (2011). Inferring the effect of therapy on tumors showing stochastic Gompertzian growth. Journal of Theoretical Biology, 276, 67-77. Doi:10.1016/j.jtbi.2011.01.040
Torres-Ruiz, F.; Moreno, E.; Girón. F.J. (2011). Intrinsic priors for model comparison in multivariate normal regression. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM), 105(2), 273-289. Doi:10.1007/s13398-011-0033-7
Román-Román, P.; Romero, D.; Torres-Ruiz, F. (2010). A diffusion process to model generalized von Bertalanffy growth patterns: Fitting to real data. Journal of Theoretical Biology, 263(1), 59-69. Doi:10.1016/j.jtbi.2009.12.009
Román, P.; Serrano, J.J.; Torres, F. (2008). First-passage-time location function: Application to determine first-passage-time densities in diffusion processes. Computational Statistics and Data Analysis, 52(8), 4132-4146. Doi:10.1016/j.csda.2008.01.017
Gutiérrez-Jáimez, R.; Román, P.; Romero, D.; Serrano, J.J.; Torres, F. (2008). Some time random variables related to a Gompertz-type diffusion process. Cybernetics and Systems, 39(5), 467-479. Doi:10.1080/01969720802069773
Pesquera, A.; Torres, F.; Gil-Crespo, P.; Torres-Ruiz, J. (2008). TOURCOMP: a program for estimating end-member proportions in tourmalines. Mineralogical Magazine, 72(5), 1021-1034. Doi:10.1180/minmag.2008.072.5.1021
Gutiérrez, R.; Rico, N.; Román, P.; Torres, F. (2007). Approximate and generalized confidence bands for the mean and mode functions of the lognormal diffusion process. Computational Statistics and Data Analysis, 263(1), 59-69. Doi:10.1016/j.csda.2006.12.027
Gutiérrez, R.; Román, P.; Romero, D.; Serrano, J.J.; Torres, F. (2007). A new Gompertz-type diffusion process with application to random growth. Mathematical Biosciences, 208(1), 147-165. Doi:10.1016/j.mbs.2006.09.020
Gutiérrez, R.; Román, P.; Romero, D.; Serrano, J.J.; Torres, F. (2006). Approximating the nonhomogeneous lognormal diffusion process via polynomial exogenous factors. Cybernetics and Systems, 37(4), 293-309. Doi:10.1080/01969720600626295
Girón, F.J.; Martínez, M. L.; Moreno, E.; Torres, F. (2006). Objective Testing Procedures in Linear Models: Calibration of the p-values. Scandinavian Journal of Statistics, 33, 765-784. Doi:10.1111/j.1467-9469.2006.00514.x
Moreno, E.; Torres, F.; Casella, G. (2005). Testing equality of regression coefficients in heteroscedastic normal regression models. Journal of statistical planning and inference, 131, 117-134. Doi:10.1016/j.jspi.2003.12.016
Gutiérrez, R.; Gutiérrez-Sánchez, R.; Nafidi, A.; Román, P.; Romero, D.; Torres, F. (2005). Inference in Gompertz type non homogeneous stochastic systems by means of discrete sampling. Cybernetics and Systems, 36(2), 203-216. Doi:10.1080/01969720590897233
Gutiérrez, R.; Román, P.; Romero, D.;Torres, F. (2003). Forecasting for the univariate lognormal diffusion process with exogenous factors. Cybernetics and Systems, 34(8), 709-724. Doi:10.1080/716100279
Gutiérrez, R.; Román, P.; Torres, F. (2001). Inference on some parametric functions in the univariate lognormal diffusion process with exogenous factors. Test, 10(2), 357-373. Doi:10.1007/bf02595702
Gutiérrez, R.; Román, P.; Torres, F. (1999). Inference and first-passage-times for the lognormal diffusion process with exogenous factors. Application to modelling in economics. Applied Stochastic Models in Business and Industry, 15(4), 325-332. Doi:10.1002/(sici)1526-4025(199910/12)15:4<325::aid-asmb397>3.0.co;2-f
Gutiérrez, R.; Ricciardi, L.M.; Román, P.; Torres, F. (1997). First-passage-time densities for time-non-homogeneous diffusion processes. Journal of Applied Probability, 34(3), 623-631. Doi:10.2307/3215089
Gutiérrez, R.; González, A.; Torres, F. (1997). Algorithm AS309: Estimation in the multivariate lognormal diffusion process with exogenous factors. Applied Statistics (Journal of the Royal Statistical Society, serie C), 46(1), 140-146. Doi:10.1111/1467-9876.00054
Gutiérrez, R.; Román, P.; Torres, F. (1995). A note on the Volterra integral equation for the first-passage-time probability density. Journal of Applied Probability, 32(3), 635-648. Doi:10.2307/3215118
Otros artículos
Barrera, A.; Román-Román, P.; Torres-Ruiz, F. (2020). Diffusion processes for Weibull-based models. In: Computer Aided Systems Theory-Eurocast 2019 (R. Moreno-Díaz et. al. eds.), Lecture Notes in Computer Science, vol 12013, 204-210. Springer. Doi:10.1007/978-3-030-45093-9_25
Albano, G.; Giorno, V.; Román-Román, P; Torres-Ruiz, F. (2018). On a non-homogeneous Gompertz-type diffusion process: inference and first passage time. In: Computer Aided Systems Theory-Eurocast 2017 (R. Moreno-Díaz et. al. eds.), Parte II.Lecture Notes in Computer Science 10672, 47-54. Springer. Doi:10.1007/978-3-319-74727-9
Román-Román, P.; Torres-Ruiz, F. (2015). The nonhomogeneous lognormal diffusion process as a general process to model particular types of growth patterns. Lecture Notes of Seminario Interdisciplinare di Matematica, 12, 201-219.
Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. (2010). A general strategy for determining first-passage-time densities based on the first-passage-time location function. In: Proceedings of COMPSTAT’2010 (Lechevallier, Y. and Saporta, G. eds.), Physica-Verlag, 1533-1540.
Gutiérrez, R.; Rico, N.; Román, P.; Torres, F. (2006). Approximate and generalized confidence bands for some parametric functions of the lognormal diffusion process with exogenous factors. Scientiae Mathematicae Japonicae, 64 (2), 313-329.
Gutiérrez Jáimez, R.; Rico Castro, N.; Román-Román, P.; Romero Molina, D.; Torres-Ruiz, F. (2005). A Gompertz-type diffusion process for the study of social phenomena. AIP Conference Proceedings, 779, 205-206.
Girón, F.J.; Martínez, M. L.; Moreno, E.; Torres, F. (2003). Bayesian analysis of matched pairs in the presence of covariates. In: Bayesian Statistics 7, (J.M.Bernardo et al. eds.), 553-563.
Moreno, E.; Girón, F.J.; Torres, F. (2003). Intrinsic priors for hypothesis testing in normal regression models. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM), 97(1), 53-61.
Gutiérrez-Jáimez, R.; Román-Román, P.; Torres-Ruiz, F. (1994). A remark on the validity of the Volterra integral equation of first-passage-time densities for a class of time-non-homogeneous diffusion processes. In: Cybernetics and Systems Research 1994 (Trappl R. ed.), World Scientific Publishing, Vol II, 847-854.
Gutiérrez-Jáimez, R.; Román-Román, P.; Torres-Ruiz, F. (1993). Inference on univariate lognormal diffusion processes via first-passage-times. In: Applied Stochastic Models and Data Analysis (Jansen, J. and Skiadas, C. eds.), World Scientific Publishing, Vol I, 330-339.
Gutiérrez-Jáimez, R.; González-Carmona, A.; Torres-Ruiz, F. (1992). Statistical inference about multidimensional lognormal diffusion process with multivariate exogenous factors and applications. In: Cybernetics and Systems Research 1992 (Trappl R. ed.), World Scientific Publishing, Vol I, 845-852.
