Gooty Divanji

On Moment Convergence Result for Properly Normalized Delayed Sums

Kokkada Vidyalaxmi & Gooty Divanji · Journal of Advances in Mathematics and Computer Science · 2022

Let  \(\left\{X_{n}, n \geq 1\right\}\)  be a sequence of independent and identically distributed random  variables with a common distribution function F. Let  \((S_{n})\) be the partial sum sequence. Set  \(T_{n}=S_{n+a_{n}}-S_{n}=\sum_{k=n+1}^{n+a_{n}} X_{k}\) The sum  (T_{n}\)...