Abstract
Relations between subexponential densities and locally subexponential distributions are discussed. It is shown that the class of subexponential densities is neither closed under convolution roots nor closed under asymptotic equivalence. A remark is given on the closure under convolution roots for the class of convolution equivalent distributions.
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Watanabe, T., Yamamuro, K. Two Non-closure Properties on the Class of Subexponential Densities. J Theor Probab 30, 1059–1075 (2017). https://doi.org/10.1007/s10959-016-0672-x
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DOI: https://doi.org/10.1007/s10959-016-0672-x