منابع مشابه
A central limit theorem for linear
A Poisson process in space{time is used to generate a linear Kolmogorov's birth{growth model. Points start to form on 0; L] at time zero. Each newly formed point initiates two bidirectional moving frontiers of constant speed. New points continue to form on not-yet passed over parts of 0; L]. The whole interval will eventually be passed over by moving frontiers. Let N L be the total number of po...
متن کاملCentral Limit Theorem for Stationary Linear Processes
We establish the central limit theorem for linear processes with dependent innovations including martingales and mixingale type of assumptions as defined in McLeish [Ann. In doing so we shall preserve the generality of the coefficients, including the long range dependence case, and we shall express the variance of partial sums in a form easy to apply. Ergodicity is not required.
متن کاملHall’s Theorem for limit groups
A celebrated theorem of Marshall Hall Jr. implies that finitely generated free groups are subgroup separable and that all of their finitely generated subgroups are retracts of finite-index subgroups. We use topological techniques inspired by the work of Stallings to prove that all limit groups share these two properties. This answers a question of Sela. Limit groups are finitely presented group...
متن کاملCentral 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.
متن کاملA Central Limit Theorem on Heisenberg Type Groups. Ii
We present a Liapounov type central limit theorem for random variables associated to a commutative Banach algebra of "radial" measures on Heisenberg type groups. This theorem improves on a result presented by the author in Proc. Amer. Math. Soc. 113 (1991), 529-536. 0. Introduction In [Oh] we introduced a commutative algebra of "radial", bounded, Borel measures on Heisenberg type groups (H-type...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2016
ISSN: 0091-1798
DOI: 10.1214/15-aop1002