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math.ST2026
Likelihood-based Spacings Goodness-of-Fit Statistics for Univariate Shape-constrained Densities
Kwun Chuen Gary Chan, Hok Kan Ling, Chuan-Fa Tang +1
A variety of statistics based on sample spacings have been studied for testing goodness-of-fit to parametric distributions. To test the goodness-of-fit to a nonparametric class of…
math.ST2025
Generalized Taylor's Law for Dependent and Heterogeneous Heavy-Tailed Data
Pok Him Cheng, Joel E. Cohen, Hok Kan Ling +1
Taylor's law, also known as fluctuation scaling in physics and the power-law variance function in statistics, is an empirical pattern widely observed across fields including ecolog…