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Statistical Convergence of Complex Uncertain Sequences

Author

Listed:
  • Binod Chandra Tripathy

    (Department of Mathematics, Tripura University, Suryamaninagar, Agartala 799022 Tripura, India)

  • Pankaj Kumar Nath

    (#x2020;Department of Applied Science (Mathematics), Institute of Science and Technology, Gauhati University, Guwahati 781014, Assam, India)

Abstract

Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely (a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely (u.a.s.) In addition, decomposition theorems and relationships among them are discussed.

Suggested Citation

  • Binod Chandra Tripathy & Pankaj Kumar Nath, 2017. "Statistical Convergence of Complex Uncertain Sequences," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 359-374, November.
    • Handle: RePEc:wsi:nmncxx:v:13:y:2017:i:03:n:s1793005717500090
    DOI: 10.1142/S1793005717500090
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