By Rueda R.
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Additional info for A Bayesian Alternative to Parametric Hypothesis Testing
L. D. Williams. (1976). Surveillance of several Markov targets. IEEE Trans. Inform. Theory 22, 716-724. Szidarovszky, F. and S. Yakowitz. (1976). Analysis of flooding for an open channel subject to random inflow and blockage. J. Hydrol. Sci. 3, 93-103. , F. Szidarovszky, and S. Yakowitz. (1977). Bayes design of a reservoir under random sediment yield. Water Resources Research 13, 713719. Szidarovszky, F. and S. Yakowitz. (1977). A new proof of the existence and uniqueness of the Cournot equilibrium.
The basic property of stability should be robust to variations in the data. Perturbed Liapunov function methods are exploited to give effective criteria for the recurrence under very broad conditions on the “driving processes” if the fluid approximation is asymptotically stable. In particular, stationarity is not required, and the data can be correlated. Various single class models are considered. For the problem of stability in heavy traffic, where one is concerned with a sequence of queues, both the standard network model and a more general form of the Skorohod problem type are dealt with and recurrence, uniformly in the heavy traffic parameter, is shown.
NOTES 1. All weak convergence is in the Skorohod topology (Ethier and Kurtz, 1986). 2. Thus the gradient is the same at all points on any ray from the origin. REFERENCES Altman, E. J. Kushner. (1999). Admission control for combined guaranteed performance and best effort communications systems under heavy traffic. SIAM J. Control and Optimization, 37:1780–1807. Baccelli, F. and S. Foss. (1994). Stability of Jackson-type queueing networks. Queueing Systems, 17:5–72. Banks, J. G. Dai. (1997). Simulation studies of multiclass queueing networks.
A Bayesian Alternative to Parametric Hypothesis Testing by Rueda R.