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A theorem for calculation of the appropriate sample size in an estimation

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  • Zhang, Xue-feng
  • Yang, Feng-bao
  • Wang, Xu-zhu

Abstract

In 1982, Dubois and Prade investigated the relationship between belief function, plausibility function and basic probability assignment when the involved universe is finite. In this paper, the similar results on their relationships are obtained with a continuous universe. As an important facility to connect possibility distribution in continuous universes and discrete probability values, basic probability histogram is defined by means of measurement amplitude, which is a notion with both probability and possibility features. A theorem about how to calculate a suitable sample size for estimation is proposed based on the researches on basic probability histograms. Through the theorem, we can directly calculate the appropriate samples size for any population distribution. Even with small samples, a reasonable estimation can be obtained with a non-normal distribution.

Suggested Citation

  • Zhang, Xue-feng & Yang, Feng-bao & Wang, Xu-zhu, 2017. "A theorem for calculation of the appropriate sample size in an estimation," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 291-297.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:291-297
    DOI: 10.1016/j.chaos.2017.08.015
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    References listed on IDEAS

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    1. Li, Li, 2015. "Bifurcation and chaos in a discrete physiological control system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 397-404.
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