Central limit theorem for generalized Weierstrass functions

A Central Limit Theorem for Belief Functions

The purpose of this Note is to prove a form of CLT (Theorem 1.4) that is used in Epstein and Seo (2011). More general central limit results and other applications will follow in later drafts. Let S = fB;Ng and K (S) = ffBg; fNg; fB;Ngg the set of nonempty subsets of S. Denote by s1 = (s1; s2; :::) the generic element of S1 and by n (s1) the empirical frequency of the outcome B in the …rst n exp...

A Central Limit Theorem for Iterated Random Functions

A central limit theorem is established for additive functions of a Markov chain that can be constructed as an iterated random function. The result goes beyond earlier work by relaxing the continuity conditions imposed on the additive function, and by relaxing moment conditions related to the random function. It is illustrated by an application to a Markov chain related to fractals.

Central Limit Theorem in Multitype Branching Random Walk

A discrete time multitype (p-type) branching random walk on the real line R is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.

Generalized Central Limit Theorem and Extreme Value Statistics

Bishop's Generalized Stone-weierstrass Theorem for the Strict Topology

1. Let X be a locally compact Hausdorff space, C(X)ß the locally convex topological vector space obtained from all bounded complex continuous functions on X by employing the strict topology [2]. The present note is devoted to a version of Bishop's generalized StoneWeierstrass theorem [l] applicable to certain subspaces of C(X)ß-, essentially it is a footnote to an earlier paper [4], in which a ...