What type of study is this?

September 10, 2025FilomatOpen Access

Complete convergence and complete q-th moment convergence for weighted sums of random vectors in Hilbert spaces

View Full Paper

Ask AI

Bookmark

The paper demonstrates that weighted sums of coordinatewise negatively associated random vectors achieve complete convergence.
Key findings include improvements over earlier results regarding moment convergence in real separable Hilbert spaces.
Investigative techniques delve into the asymptotic properties of random vectors lacking identical distribution.
The research highlights potential applications in probabilistic theory and mathematical statistics.

Implication

This analysis reveals complete convergence and moment convergence in weighted sums of random vectors, suggesting new insights in Hilbert spaces.

Abstract

We investigate the complete convergence and complete q-th moment convergence for weighted sums of coordinatewise negatively associated random vectors taking values in a real separable Hilbert space without assumption of identical distribution. The results obtained in the paper generalize and improve some known ones.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Huan et al. (2025) studied this question.

synapsesocial.com/papers/68c1ad6a54b1d3bfb60e5dc7 https://doi.org/10.2298/fil2503777h

View Full Paper

Ask AI

Bookmark

Implication

This analysis reveals complete convergence and moment convergence in weighted sums of random vectors, suggesting new insights in Hilbert spaces.

Complete convergence and complete q-th moment convergence for weighted sums of random vectors in Hilbert spaces

Key Points

Implication

Abstract

Discussion

Cite This Study

Complete convergence and complete q-th moment convergence for weighted sums of random vectors in Hilbert spaces

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading