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  • 1
    Electronic Resource
    Electronic Resource
    Markov to Chebyshev-Some Useful Inequalities (1984)
    Oxford, UK : Blackwell Publishing Ltd
    Teaching statistics 6 (1984), S. 0 
    Details
    ISSN: 1467-9639
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1467-9639.1984.tb00551.x
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  • 2
    Electronic Resource
    Electronic Resource
    The Many Faces of Statistics (1989)
    Oxford, UK : Blackwell Publishing Ltd
    Teaching statistics 11 (1989), S. 0 
    Details
    ISSN: 1467-9639
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Mathematics
    Notes: This article is based on a talk given to the Mathematical Association of America. In it Professor Gani tries to explain to the non-specialist some of the things that statisticians do.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1467-9639.1989.tb00064.x
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  • 3
    Electronic Resource
    Electronic Resource
    Time-Dependent Results for a Dam with Ordered Poisson Inputs (1960)
    [s.l.] : Nature Publishing Group
    Nature 188 (1960), S. 341-342 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] The process Z(t) is Markovian when the number of inputs up to t is known. If we define : Z(t + 8) = Z(t) + 8X(t) - (I - T))& (2) for n = 0,1,2, ...;i = 1,2;?i1 being the Kronecker delta, the transition distribution function of the dam content is : F(z0, z,t) = Pr{Z(t) 〈|Z(0) = z0} = F1 ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/188341a0
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  • 4
    Electronic Resource
    Electronic Resource
    Some models for traffic congestion
    Amsterdam : Elsevier
    Transportation Research 3 (1969), S. 333-344 
    Details
    ISSN: 0041-1647
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Architecture, Civil Engineering, Surveying
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/S0041-1647(69)80018-3
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  • 5
    Electronic Resource
    Electronic Resource
    Nuclear aggregation: Modelling and simulation
    Amsterdam : Elsevier
    Journal of Theoretical Biology 72 (1978), S. 81-90 
    Details
    ISSN: 0022-5193
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/0022-5193(78)90019-X
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  • 6
    Electronic Resource
    Electronic Resource
    Transport and sedimentation of particles in a fluid flow (1987)
    Springer
    Stochastic environmental research and risk assessment 1 (1987), S. 209-216 
    Details
    ISSN: 1436-3259
    Keywords: Transport ; sedimentation ; random walk ; Markov chain in continuous time ; distribution of maximum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract A simple two-dimensional random walk model is developed for the motion of a particle in a fluid flow. Some earlier results for the persistent injection of particles into the flow are extended, and the distribution of the maximum number of particles in suspension over the period (0,t) is derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01543892
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  • 7
    Electronic Resource
    Electronic Resource
    On Patterns in Sequences of Random Events (1999)
    Springer
    Monatshefte für Mathematik 127 (1999), S. 295-309 
    Details
    ISSN: 1436-5081
    Keywords: 1991 Mathematics Subject Classification: 60J10 ; 15A24 ; Key words: Sequences of events ; independent trials ; Markovian trials ; repetitions ; avoidance of a pattern ; Markov chain
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract.  This paper considers patterns of particular events in sequences of trials, some independent and others Markovian. Matrix recursions are found for the number of sequences of length n avoiding a specific pattern, and the associated probability of this event is evaluated. A Markov chain method for the study of such problems is outlined, and is illustrated in various cases. Finally, configurations of length 3 in Bernoulli trials are examined as an example.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s006050050041
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  • 8
    Electronic Resource
    Electronic Resource
    A note on threshold theorems for epidemics with bunching (1987)
    Springer
    Annals of operations research 8 (1987), S. 207-215 
    Details
    ISSN: 1572-9338
    Keywords: Epidemic models ; threshold theorems ; survival probability ; homogeneous mixing ; bunching models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract This note begins by reviewing the Kermack-McKendrick and Whittle Threshold Theorems for the general epidemic. It then extends these results to the case of the general epidemic with bunching where theβxy homogeneous mixing term is replaced byβxy/(x+y)α, 0≤α≤1.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02187092
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  • 9
    Electronic Resource
    Electronic Resource
    Continuous Time Treatment of a Storage Problem (1958)
    [s.l.] : Nature Publishing Group
    Nature 182 (1958), S. 39-40 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] IN the storage problem considered initially by Moran1 for discrete time, the content Zt(Q 〈〈 Zt ~〈 KM) of a finite dam of capacity K is specified at the discrete times t (t 1,2, . . .) by the equation Zt = Min (Zt-! + Xt-i, K) - Min + Xt-l9 M) (M 〈 K) where, during (t 1, t), (I) ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/182039a0
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  • 10
    Electronic Resource
    Electronic Resource
    Elementary methods for an occupancy problem of storage (1958)
    Springer
    Mathematische Annalen 136 (1958), S. 454-465 
    Details
    ISSN: 1432-1807
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper considers the probabilities of first emptiness in two storage systems. The first, an infinite dam in discrete time, is fed by inputs whose distribution is geometric in unit time-intervals; at the end of each of these, there occurs a unit release. The second is an infinite dam in continuous time with Poisson inputs, for which the release occurs at constant unit rate except when the dam is empty. First emptiness in both dams may be formulated as a special type of classical occupancy problem. The probabilities of emptiness are derived by direct elementary methods, and their generating functions found. These are shown to define proper distributions only if the mean input per unit time does not exceed the corresponding release.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01347795
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