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Stochastic Pareto diffusion process : Statistical analysis and computational issues. Simulation and Application


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[1] Alfred Akinsete, Felix Famoye, and Carl Lee. “The beta-Pareto distribution”. In: Statistics 42.6 (2008), pp. 547–563.10.1080/02331880801983876 Search in Google Scholar

[2] Ayman Alzaatreh, Felix Famoye, and Carl Lee. “Gamma-Pareto distribution and its applications”. In: Journal of Modern Applied Statistical Methods 11.1 (2012), p. 7.10.22237/jmasm/1335845160 Search in Google Scholar

[3] Ayman Alzaatreh, Felix Famoye, and Carl Lee. “Weibull-Pareto distribution and its applications”. In: Communications in Statistics-Theory and Methods 42.9 (2013), pp. 1673–1691.10.1080/03610926.2011.599002 Search in Google Scholar

[4] Ludwig Arnold. “Stochastic differential equations”. In: New York (1974). Search in Google Scholar

[5] World Bank. Mortality rate, infant (per 1,000 live births). 2018. url: https://data.worldbank.org/indicator/SP.DYN.IMRT.IN. Search in Google Scholar

[6] Abdenbi El Azri and Ahmed Nafidi. “A γ- power stochastic Lundqvist-Korf diffusion process: Computational aspects and simulation”. In: Moroccan Journal of Pure and Applied Analysis (MJPAA) 8.3 (2022), pp. 364–374.10.2478/mjpaa-2022-0025 Search in Google Scholar

[7] Julie Lyng Forman and Michael Sørensen. “The Pearson diffusions: A class of statistically tractable diffusion processes”. In: Scandinavian Journal of Statistics 35.3 (2008), pp. 438–465.10.1111/j.1467-9469.2007.00592.x Search in Google Scholar

[8] Christiane Fuchs. Inference for diffusion processes: with applications in life sciences. Springer Science & Business Media, 2013.10.1007/978-3-642-25969-2 Search in Google Scholar

[9] Beno Gutenberg and Charles F Richter. “Frequency of earthquakes in California”. In: Bulletin of the Seismological Society of America 34.4 (1944), pp. 185–188.10.1785/BSSA0340040185 Search in Google Scholar

[10] R Gutiérrez, R Gutiérrez-Sánchez, and A Nafidi. “Modelling and forecasting vehicle stocks using the trends of stochastic Gompertz diffusion models: The case of Spain”. In: Applied Stochastic Models in Business and Industry 25.3 (2009), pp. 385–405.10.1002/asmb.754 Search in Google Scholar

[11] R Gutiérrez, R Gutiérrez-Sánchez, and A Nafidi. “The trend of the total stock of the private car-petrol in Spain: Stochastic modelling using a new gamma diffusion process”. In: Applied energy 86.1 (2009), pp. 18–24.10.1016/j.apenergy.2008.03.016 Search in Google Scholar

[12] R Gutiérrez et al. “Inference in gompertz-type nonhomogeneous stochastic systems by means of discrete sampling”. In: Cybernetics and Systems (2005).10.1080/01969720590897233 Search in Google Scholar

[13] Yu A Kutoyants. “Estimation of a parameter of a diffusion process”. In: Theory of Probability & Its Applications 23.3 (1979), pp. 641–649.10.1137/1123076 Search in Google Scholar

[14] Colin David Lewis. A Radical Guide to Exponential Smoothing and Curve Fitting. 1982. Search in Google Scholar

[15] Spyros Makridakis. “Accuracy measures: theoretical and practical concerns”. In: International journal of forecasting 9.4 (1993), pp. 527–529.10.1016/0169-2070(93)90079-3 Search in Google Scholar

[16] Ed Meynial. Recueil publié par la Faculté de droit,à l’occasion de l’exposition nationale suisse de Genève. 1898. Search in Google Scholar

[17] Ahmed Nafidi, Ilyasse Makroz, and Ramón Gutiérrez Sánchez. “A Stochastic Lomax Diffusion Process: Statistical Inference and Application”. In: Mathematics 9.1 (2021), p. 100.10.3390/math9010100 Search in Google Scholar

[18] Ahmed Nafidi, Oussama Rida, Boujemaa Achchab, et al. “Stochastic Diffusion Process Based on Generalized Brody Curve: Application to Real Data”. In: Journal of Mathematics and Statistics Studies 2.1 (2021), pp. 01–11.10.32996/jmss.2021.2.1.1 Search in Google Scholar

[19] Ahmed Nafidi et al. “The stochastic Weibull diffusion process: Computational aspects and simulation”. In: Applied Mathematics and Computation 348 (2019), pp. 575–587.10.1016/j.amc.2018.12.017 Search in Google Scholar

[20] Mark E J Newman. “Power laws, Pareto distributions and Zipf’s law”. In: Contemporary physics 46.5 (2005), pp. 323–351.10.1080/00107510500052444 Search in Google Scholar

[21] F. Pedregosa et al. “Scikit-learn: Machine Learning in Python”. In: Journal of Machine Learning Research 12 (2011), pp. 2825–2830. Search in Google Scholar

[22] SP Preston and Andrew TA Wood. “Approximation of transition densities of stochastic differential equations by saddlepoint methods applied to small-time Ito-Taylor sample-path expansions”. In: Statistics and Computing 22.1 (2012), pp. 205–217.10.1007/s11222-010-9218-8 Search in Google Scholar

[23] William J Reed and Murray Jorgensen. “The double Pareto-lognormal distribution: A new parametric model for size distributions”. In: Communications in Statistics-Theory and Methods 33.8 (2004), pp. 1733–1753.10.1081/STA-120037438 Search in Google Scholar

[24] Bianca Schroeder, Sotirios Damouras, and Phillipa Gill. “Understanding latent sector errors and how to protect against them”. In: ACM Transactions on storage (TOS) 6.3 (2010), pp. 1–23.10.1145/1837915.1837917 Search in Google Scholar

[25] Gerhard Tintner and Jati K Sengupta. Stochastic economics: stochastic processes, control, and programming. Elsevier, 2014. Search in Google Scholar

[26] Chris Tofallis. “A better measure of relative prediction accuracy for model selection and model estimation”. In: Journal of the Operational Research Society 66.8 (2015), pp. 1352–1362.10.1057/jors.2014.103 Search in Google Scholar

[27] Nakahiro Yoshida. “Estimation for diffusion processes from discrete observation”. In: Journal of Multivariate Analysis 41.2 (1992), pp. 220–242.10.1016/0047-259X(92)90068-Q Search in Google Scholar

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