Weighted modulus Sθ-convergence of order α in probability
Let θ={kr}r∈N∪{0} be a lacunary sequence, ϕ be a modulus function and {tn}n∈N be a sequence of real numbers such that tn>δ,∀n∈N (where δ is a fixed positive real number) and Tn=t1+t2+⋯+tn (where n∈N and T0=0). A sequence of random variables {Xn}n∈N is said to be weighted modulus Sθ-convergent of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Emerald Publishing
2017-07-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516617300762 |