Multidimensional Hadamard composition and sums with linear constraints on the summation indices

On the Strong Law of Large Numbers and t

On the Strong Law of Large Numbers and the Law of the Logarithm for Weighted Sums of Independent Random Variables with Multidimensional Indices

✍ D.L. Li; M.B. Rao; X.C. Wang 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 519 KB

Let \(\left\{X, X_{n} ; \vec{n} \in \mathbb{N}^{d}\right\}\) be a field of independent identically distributed real random variables, \(0<p<2\), and \(\left\{a_{\bar{n}, \bar{k}} ;(\bar{n}, \bar{k}) \in \mathbb{N}^{d} \times \mathbb{N}^{d}, \bar{k} \leqslant \bar{n}\right\}\) a triangular array of r