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Renewal theory and source coding
Proceedings of the IEEE, 2000Renewal theory provides a wavy to derive fundamental results about source coding and is useful in the analysis and design of many lossless data compression algorithms. We consider two very different applications of renewal theory to source coding.
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Renewal theory in two dimensions: bounds on the renewal function
Advances in Applied Probability, 1977In two earlier papers [6], [7] the properties of bivariate renewal processes and their associated two-dimensional renewal functions, H( x , y ) were examined.
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Approximations in Renewal Theory
Probability in the Engineering and Informational Sciences, 1987A renewal process [N(t), t ≥ 0] with interarrival times Xi, for i ≥ 1 and renewal function m (t) is considered. Let Gn, λ denote the gamma distribution with parameters n and λ–that is, dGn, λ(x) = λε–λx(λx)n-1/(n – 1)In Section 1 we show how m(t) can be approximated by f m(s) dGn, n/t(s).
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Politics, 2010
The role of the state in recent years has demonstrated the continued need for the insights of Marxist state theory. Yet this should not blind us to the reasons why the latter became discredited. This article seeks to rescue the key insights of Marxist state theory from the clutches of its structuralist legacy.
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The role of the state in recent years has demonstrated the continued need for the insights of Marxist state theory. Yet this should not blind us to the reasons why the latter became discredited. This article seeks to rescue the key insights of Marxist state theory from the clutches of its structuralist legacy.
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1985
This chapter is concerned with first passages of random walks to nonlinear boundaries. Suitable generalizations of the renewal theory of Chapter VIII are developed in order to justify and generalize the approximations suggested in IV.3.
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This chapter is concerned with first passages of random walks to nonlinear boundaries. Suitable generalizations of the renewal theory of Chapter VIII are developed in order to justify and generalize the approximations suggested in IV.3.
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2017
In the analytic approach to Markov chains, the proof of convergence to steady state of an ergodic hmc is a consequence of a result on power series called the blue renewal theorem by the probabilists. This result forms the matter of this section. However, the renewal theorem will not be used as the essential step towards the convergence theorem, but on ...
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In the analytic approach to Markov chains, the proof of convergence to steady state of an ergodic hmc is a consequence of a result on power series called the blue renewal theorem by the probabilists. This result forms the matter of this section. However, the renewal theorem will not be used as the essential step towards the convergence theorem, but on ...
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