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Implicit Renewal Theorem for Trees with General Weights
Implicit renewal theory weighted branching processes
2011/1/20
Consider distributional xed point equations of the form R D= f(Ci;Ri; 1 i N); where f() is a possibly random real valued function, N 2 f0; 1; 2; 3; : : : g [ f1g, fCigN i=1 are real valued rando...
Generalized Fibonacci Numbers and Blackwell's Renewal Theorem
generalized Fibonacci numbers renewal theory
2011/2/25
We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell’s renewal theorem we find an approximation to the generalized Fibonacci n...
A Renewal Theorem for Strongly Ergodic Markov Chains in Dimension $d\geq3$ and Centered Case
Markov chains renewal theorem spectral method
2010/12/14
In dimension d ≥ 3, we present a general assumption under which the renewal theorem established by Spitzer [23] for i.i.d. sequences of centered nonlattice r.v. holds true. Next we appeal to an operat...