Note on a Limit Theorem
نویسندگان
چکیده
منابع مشابه
A note on spectral mapping theorem
This paper aims to present the well-known spectral mapping theorem for multi-variable functions.
متن کاملTechnical Note - A Limit Theorem on Subintervals of Interrenewal Times
Consider a renewal process {X,, n 2 1} for which there is defined an associated sequence of independent and identically distributed random variables {Bn, n 2 1 } such that Bn is the length of a subinterval of Xn. We show that when attention is restricted only to B-intervals, the asymptotic joint distribution of the residual life and total life of a B-interval is that of a renewal process genera...
متن کاملThe Local Limit Theorem: A Historical Perspective
The local limit theorem describes how the density of a sum of random variables follows the normal curve. However the local limit theorem is often seen as a curiosity of no particular importance when compared with the central limit theorem. Nevertheless the local limit theorem came first and is in fact associated with the foundation of probability theory by Blaise Pascal and Pierre de Fer...
متن کاملA note on Pollard’s Theorem
Let A,B be nonempty subsets of a an abelian group G. Let Ni(A,B) denote the set of elements of G having i distinct decompositions as a product of an element of A and an element of B. We prove that ∑ 1≤i≤t |Ni(A,B)| ≥ t(|A|+ |B| − t− α+ 1 + w) − w, where α is the largest size of a coset contained in AB and w = min(α − 1, 1), with a strict inequality if α ≥ 3 and t ≥ 2, or if α ≥ 2 and t = 2. Thi...
متن کاملA Note on Goodman's Theorem
Goodman's theorem states that intuitionistic arithmetic in all nite types plus full choice, HA ! + AC, is conservative over rst-order intuitionistic arithmetic HA. We show that this result does not extend to various subsystems of HA ! , HA with restricted induction.
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: 1975
ISSN: 0091-1798
DOI: 10.1214/aop/1176996274