𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A weak law with random indices for randomly weighted sums of random elements in Martingale type p Banach spaces

✍ Scribed by Andrew Rosalsky; M. Sreehari

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
533 KB
Volume
47
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the weak law for randomly indexed par
On the weak law for randomly indexed partial sums for arrays of random elements in martingale type p Banach spaces
✍ Dug Hun Hong; Manuel Ordóñez Cabrera; Soo Hak Sung; Andrei I. Volodin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 104 KB

For weighted randomly indexed sums of the form Nn j = 1 anj(Vnj -cnj) where {anj; j¿1; n¿1} are constants, {Vnj; j¿1; n¿1} are random elements in a real separable martingale type p Banach space, {Nn; n¿1} are positive integer-valued random variables, and {cnj; j¿1; n¿1} are suitable conditional expe

A mean convergence theorem and weak law
A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces
✍ André Adler; Andrew Rosalsky; Andrej I. Volodin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 393 KB

For weighted sums of the form Sn = Ejknl anj (Vnj--Cnj) where {anj, 1 <<.j<~kn < oo, n~> 1} are constants, {V~j, 1 <~j<~k~, n>~l} are random elements in a real separable martingale type p Banach space, and {cnj, 1 <<.j<~kn, n>>-1} are suitable conditional expectations, a mean convergence theorem and

An application of the Ryll-Nardzewski–Wo
An application of the Ryll-Nardzewski–Woyczyński theorem to a uniform weak law for tail series of weighted sums of random elements in Banach spaces
✍ Tien-Chung Hu; Eunwoo Nam; Andrew Rosalsky; Andrei I. Volodin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 95 KB

For a sequence of Banach space valued random elements {Vn; n¿1} (which are not necessarily independent) with the series ∞ n = 1 Vn converging unconditionally in probability and an inÿnite array a = {ani; i¿n; n¿1} of constants, conditions are given under which (i) for all n¿1, the sequence of weight