A note on weak convergence of random step processes

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Note on Convergence of Dirichlet Processes

en(u, v) = \ (A\x) Vu(x), Vv(x)) #(*) dx, (1.3) jR n) = C?(R ). Here (u,v) denotes the inner product on R. By our assumptions (1.1) and (1.2), it is easy to see that the form (en, 3>(en)) is closable on L\R , <pl dx); we denote the closure of (en5 0(eJ) by (en, 9{en)), where of course 2{en) = 9{t) = H\' \R ). The hypotheses (1.1) and (1.2) ensure that ®(en) = 9{t) = Hl' (R) for all neN. Then (e...

متن کامل

Weak Convergence of Random Functions

Let {vij}, i, j = 1, 2, . . . , be i.i.d. symmetric random variables with E(v 11) < ∞, and for each n let Mn = 1 sVnV T n , where Vn = (vij), i = 1, 2, . . . , n, j = 1, 2, . . . , s = s(n), and n/s → y > 0 as n → ∞. Denote by OnΛnO n the spectral decomposition of Mn. Define X ∈ D[0, 1] by Xn(t) = √ n 2 ∑[nt] i=1(y 2 i − 1 n), where (y1, y2, . . . , yn) = O (± 1 √ n ,± 1 √ n , . . . ,± 1 √ n ) ...

متن کامل

Weak Convergence of Random Sets

In this paper the classical Portmanteau theorem which provides equivalent conditions of weak convergence of sequence of probability measures is extended on the space of the sequence of probability measures induced by random sets.

متن کامل

On the convergence of three-step random iterative procesess with errors of nonself asymptotically nonexpansive random mappings

begin{abstract} In this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable Banach space. end{abstract}

متن کامل

A Note on Convergence of Moments for Random Young Tableaux

In recent work of Baik, Deift and Rains convergence of moments was established for the limiting joint distribution of the lengths of the first k rows in random Young tableaux. The main difficulty was obtaining a good estimate for the “tail” of the distribution and this was accomplished through a highly nontrival Riemann-Hilbert analysis. Here we give a simpler derivation. A conjecture is stated...

متن کامل

ذخیره 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: Acta Mathematica Hungarica

سال: 2009

ISSN: 0236-5294,1588-2632

DOI: 10.1007/s10474-009-9099-5