𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limit theorems arising from sequences of multinomial random vectors

✍ Scribed by Rosana L Panganiban

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
333 KB
Volume
28
Category
Article
ISSN
0047-259X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Limit Theorems for Logarithmic Averages
Limit Theorems for Logarithmic Averages of Random Vectors
✍ IstvΓ‘n Berkes; Lajos HorvΓ‘th πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 386 KB πŸ‘ 1 views

We prove the strong law of large numbers for logarithmic averages of random vectors. We also obtain a strong approximation for logarithmic averages. for a large class of functions a if d = 1. Earlier results are due to [IS] and [12] when a(t) = I { t 5 0). For extensions of (1.3) we refer to [17],

Lp-Approximable Sequences of Vectors and
Lp-Approximable Sequences of Vectors and Limit Distribution of Quadratic Forms of Random Variables
✍ Kairat T. Mynbaev πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 192 KB

The properties of L 2 -approximable sequences established here form a complete toolkit for statistical results concerning weighted sums of random variables, where the weights are nonstochastic sequences approximated in some sense by squareintegrable functions and the random variables are "two-wing"