getdocc5be. 263KB Jun 04 2011 12:04:57 AM
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A log-concave sequence with no internal zeros is obviously unimodal, and if it is SLC, then it has at most two consecutive modes.. The following result is sometimes useful in
(There is actually some sense in this, since for families of curves defined over prime fields the space complexity of the deformation algorithm is quadratic in log( q ), rather
Two other cases are discussed: when A is normal it is shown that the sequence of approximating matrices A ( ε ) can be written as a quadratic polynomial in trigonometric functions,
We establish a strong law of large numbers and a central limit theorem for the Parrondo player’s sequence of profits, both in a one-parameter family of capital-dependent games and in
We shall finally point out two examples of functions V and F which lead to the convergence of any sequence of symmetric self-stabilizing invariant measures towards a limit measure
Amongst other things, Aldous proved that the CRT is the scaling limit of a wide class of discrete random trees (in particular it is the scaling limit of uniformly distributed
Keywords Central Limit Theorem (CLT), Large Deviations Principle (LDP), Markov Pro- cesses, Autoregressive Model (AR1), Positive Recurrent Processes, Martingale Additive Func-
Key words: bifurcating autoregressive process ; tree-indexed times series; martingales ; least squares estimation ; almost sure convergence ; quadratic strong law; central
