Abstract
I was born at Calicut, Kerala State, India and attended high school and (two-year) intermediate college there. I wanted to study mathematics, but in those days there was supposed to be no future for arts and science graduates, so I applied for admission to an engineering college. As it turned out, I failed to get this admission, and so I joined the Loyola College of Arts and Science, Madras, where I studied for a bachelor’s degree (with honours) in mathematics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Basawa, I. V. and Prakasa Rao, B. L. S. (1980) Statistical Inference for Stochastic Processes. Academic Press, London.
Bhat, U. N. (1964) Imbedded Markov chain analysis of bulk queues. J. Austral. Math. Soc. 4, 244–263.
Brémaud, P. (1980) Point Processes and Queues: Martingale Dynamics. Springer-Verlag, New York.
Çinlar, E. (1973) Theory of continuous storage with Markov additive inputs and a general release rule. J. Math. Anal. Appl. 43, 207–231.
Franken, P., König, D., Arndt, U. and Schmidt, V. (1981) Queues and Point Processes. Akademie-Verlag, Berlin.
Gani, J. and Prabhu, N. U. (1963) A storage model with continuous infinitely divisible inputs. Proc. Camb. Phil. Soc. 59, 417–429.
Goldberg, H. M. (1977) Analysis of the earliest due date scheduling rule in queueing systems. Math. Operat. Res. 2, 145–154.
Hooke, J. A. and Prabhu, N. U. (1971) Priority queues in heavy traffic. Opsearch 8, 1–9.
Kac, M. (1947) Random walk and the theory of Brownian motion. Amer. Math. Monthly 54, 369–417.
Kaspi, H. (1980) On the symmetric Wiener-Hopf factorization for Markov additive processes. Z. Wahrscheinlichkeitsth. 59, 179–196.
Kelly, F. P. (1979) Reversibility and Stochastic Networks. Wiley, New York.
Kendall, D. G. (1951) Some problems in the theory of queues. J. R. Statist. Soc. B 13, 151–185.
Kendall, D. G. (1954) Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. Ann. Math. Statist. 24, 338–354.
Kendall, M. G. (1943) The Advanced Theory of Statistics, Vol. I. Griffin, London.
Lindley, D. V. (1952) Theory of queues with a single server. Proc. Camb. Phil. Soc. 49, 277–289.
Lloyd, E. H. (1963) Reservoirs with serially correlated inputs. Technometrics 5, 85–93.
Moran, P. A. P. (1954) A probability theory of dams and storage systems. Austral. J. Appl. Sci. 5, 116–124.
Neyman, J. (1960) Indeterminism in science and new demands on statisticians. J. Amer. Statist. Assoc. 55, 625–639.
Prabhu, N. U. (1960) Some results for the queue with Poisson arrivals. J. R. Statist. Soc. 22, 104–107.
Prabhu, N. U. (1961) On the ruin problem of collective risk theory. Ann. Math. Statist. 32, 757–764.
Prabhu, N. U. (1965) Queues and Inventories: A Study of Their Basic Stochastic Processes. Wiley, New York.
Prabhu, N. U. (1965) Stochastic Processes: Basic Theory and Its Applications. Macmillan, New York.
Prabhu, N. U. (1972) Wiener-Hopf factorization for convolution semigroups. Z. Wahrscheinlichkeitsth. 23, 103–113.
Prabhu, N. U. (1980) Stochastic Storage Processes: Queues, Insurance Risk and Dams. Springer-Verlag, New York.
Prabhu, N. U. (1982) Conferences on stochastic processes and their applications: a brief history. Stoch. Proc. Appl. 12, 115–116.
Prabhu, N. U. (1986) Stochastic Processes and their Applications. Encyclopedia of Statistical Sciences 8. (To appear.)
Prabhu, N. U. (1985) Wiener-Hopf factorization of Markov semigroups-I. The countable state space case. Proc. 7th Conf. Probability Theory ed. M. Iosifescu, VNU Science Press, Utrecht, 315–324.
Reich, E. (1958) On the integro-differential equation of Takâcs I. Ann. Math. Statist. 29, 563–570.
Reich, E. (1959) On the integro-differential equation of Takâcs II. Ann. Math. Statist. 30, 143–148.
Rubinovitch, M. (1971) Ladder phenomena in stochastic processes with stationary independent increments. Z. Wahrscheinlichkeitsth. 20, 58–74.
Smith, W. L. (1953) On the distribution of queueing times. Proc. Camb. Phil. Soc. 49, 449–461.
Spitzer, F. (1957) The Wiener-Hopf equation whose kernel is a probability density. Duke Math. J. 24, 327–344.
Spitzer, F. (1960) The Wiener-Hopf equation whose kernel is a probability density. Duke Math. J. 27, 363–372.
Stoyan, D. (1983) Comparison Methods for Queues and Other Stochastic Models. English trans. ed. by D. J. Daley. Wiley, New York.
Takács, L. (1955) Investigation of waiting time problems by reduction to Markov processes. Acta Math. (Budapest) 6, 101–129.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Applied Probability Trust
About this chapter
Cite this chapter
Prabhu, N.U. (1986). Probability Modelling Across the Continents. In: Gani, J. (eds) The Craft of Probabilistic Modelling. Applied Probability, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8631-5_8
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8631-5_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8633-9
Online ISBN: 978-1-4613-8631-5
eBook Packages: Springer Book Archive