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Akash Deep et al. Release Research Paper on NTS Distribution Probability Weighting Functions

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On October 20, 2026, Akash Deep and co-authors released a research paper in the Quantitative Finance section of arXiv, proposing a new method for constructing probability weighting functions from changes in return distributions rather than parameter families. The paper gives the probability weighting function as w(p)=F_post(F_prior^{-1}(p)), where both the prior and posterior return distributions follow the normal tempered stable (NTS) distribution; with variance held fixed, the posterior distribution can differ from the prior along three independent channels: scale, skewness, and tail thickness.

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20 Oct
  1. arXiv q-fin
    Probability Weighting Functions for Normal Tempered-Stable Distributions: Orthogonal Channels and Information-Theoretic Indices

    This arXiv paper proposes constructing probability weighting functions from changes in return distributions rather than parameter families, with the formula w(p)=F_post(F_prior^{-1}(p)). Both the prior and posterior are normal tempered-stable distributions, and the posterior differs from the prior along three independent channels—scale, skewness, and tail thickness—under the premise of fixed variance.

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