REFERENCES
- Bartholomew, D. J. Stochastic Models for Social Processes, 3rd Ed., Wiley Series in Probability and Mathematical Statistics; John Wiley & Sons: New York, 1982.
- Centeno, M.L.; Silva, J.M. Bonus systems in open portfolio. Insurance: Math. Econ. 2001, 28, 341–350.
- Cramér, H. Mathematical Methods of Statistics; Princeton Landmarks in Mathematics, Reprint of the 1946 original; Princeton University Press: Princeton, 1999.
- Da Cunha, D.; Revuz, D.; Schreiber, M. Recueil de Problèmes de Calcul des Probabilités, 2nd Ed., Masson la Matrisse, Éditeurs: Paris, 1970.
- Da Cunha, D.; Duflo, M. Probabilités et Statistiques. Tome 2, Collection Mathématiques Appliquées pour la Maîtrise, Masson, Paris, 1983.
- Feller, W. An Introduction to Probability Theory and Its Applications, 2nd Ed.; John Wiley and Sons: India, 1960.
- Fernandes, J.M. Estudo de uma Carteira de Crédito ao Consumo de um Banco de Cabo Verde, , Instituto Superior de Estatística e Gestão da Informação, Universidade Nova de Lisboa, PhD Thesis (in Portuguese).
- Gani, J. Formulae for projecting enrolments and degrees awarded in universities. J. Royal Stat. Soc. Series A (General) 1963, 126(3), 400–409.
- Guerreiro, G.R.; Mexia, J.T. An Alternative approach to bonus Malus. Discussiones Mathematicae, Probability and Statistics 2004, 24(2), 197–213.
- Guerreiro, G.R.; Mexia, J.T. Stochastic vortices in periodically reclassified populations. Discussiones Mathematicae, Probability and Statistics 2008, 28(2), 209–227.
- Guerreiro, G.R.; Mexia, J.T.; Miguens, M.F. A model for open populations subject to periodical re-classifications. J. Stati. Theory Practice 2010, 4(2), 303–321.
- Guerreiro, G.R.; Mexia, J.T.; Miguens, M.F. Stable distributions for open populations subject to periodical re-classifications. J. Stat. Theory Practice 2012, 6(4), 621–635.
- Guerreiro, G.R.; Mexia, J.T.; Miguens, M.F. Preliminary Results on Confidence Intervals for Open Bonus Systems, Springer: Berlin, 199–206, 2014.
- Guerreiro, G.R.; Mexia, J.T.; Miguens, M.F. Statistical approach to open bonus malus systems. ASTIN Bulletin 2014, 44(1), 63–83.
- McClean, S.I. A continuous-time population model with Poisson recruitment. J. Applied Probab. 1976, 13, 348–354.
- McClean, S.I. Continuous-time stochastic models of a multigrade population. J. Applied Probab. 1978, 15, 26–37.
- McClean, S.I. A semi-Markov model for a multigrade population with Poisson recruiment. J. Applied Probab. 1980, 17, 846–852.
- Mehlmann, A. A Note on te limiting behaviour of discrete-time Markovian manpower models with inhomogeneous Independent Poisson input. J. Applied Probab. 1977, 14(3), 611–613.
- Mood, A.; Graybill, F.; Boes, D. Introduction to the Theory of Statistics, 3rd edition; Mc-Graw Hill International Editions: Singapore, 1974.
- Pollard, J.H. On the use of the direct matrix product in analysing certain stochastic population models. Biometrika 1966, 53, 397–415.
- Pollard, J.H. Hierarchical population models with Poisson recruitment. J. Applied Proba. 1967, 4, 209–213.
- Pollard, J.H. Continuous-time and discrete-time models of population growth. J. Royal Stat. Soc. Series, A. General 1969, 132, 80–88.
- Pollard, J.H. Matrix analysis of the cash flows and reserves of a life office. Australian J. Stati. 1979, 21(3), 315–324.
- Pollard, J.H.; Sherris, M. Application of matrix methods to pension funds. Scandinavian Actuarial Journal 1980, 2, 77–95.
- Schott, J.R. Matrix analysis for statistics, 2nd Ed., Wiley Series in Probability and Statistics; John Wiley & Sons: New Jersey, 2005.
- Stadje, W. Stationarity of a stochastic population flow model. J. Applied Probab. 1999, 36(1), 291–294.
- Staff, P.J.; Vagholkar, M.K. Stationary distributions of open Markov processes in discrete time with application to hospital planning. J. Applied Probab. 1971, 8(4), 668–680.
- Taylor, G.J.; McClean, S.I.; Millard, P.H. Using a continuous-time Markov model with Poisson arrivals to describe the movements of geriatric patients. Applied Stoch. Models Data Anal. 1998, 14, 165–174.
- de Oliveira, J. The delta-method for obtention of asymptotic distributions; Applications. Publications de l’Institut de Statistique de l’Univiversité de Paris 1982, 27, 49–70.
- Vassiliou, P.C.G. On the limiting behaviour of a non-homogeneous Markovian manpower model with independent Poisson input. J. Applied Probab. 1982, 19(2), 433–438.
- Vassiliou, P.C.G. Asymptotic behavior of Markov systems. J. Applied Probab. 1982, 19(4), 851–857.
- Vassiliou, P.C.G. Georgiou, A.C.; Tsantas, N. Control of asymptotic variability in non-homogenous Markov systems. J. Applied Probab. 1990, 27(4), 756–766.
- Papadopoulou, A.A.; Vassiliou, P.C.G. Asymptotic behavior of nonhomogeneous semi-Markov systems. Linear Algebra Appli. 1994, 210, 153–198.
- Vassiliou, P.C.G. The evolution of the theory of non-homogeous Markov systems. Applied Stoch. Models Data Anal. 1998, 13, 159–176.
- Yakasai, B.M. Stationary population flow of a semi-open Markov chain. J. Nigerian Assoc. Math. Physics 2005, 9, 395–398.
- Zorich, V.A. Mathematical Analysis I; Springer-Verlag, Berlin, 2009.