As of my last update in September 2021, researchers were indeed exploring and developing new probability distributions with HT characteristics.
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We recommend checking recent research papers and articles in relevant scientific journals and conferences for the most up-to-date information on specific developments in probability distributions with HT characteristics.1
References
1Kamal M, Alsolmi MM, Nayabuddin, et al. A new distributional approach: estimation, Monte Carlo simulation and applications to the biomedical data sets. NHM. 2023;18(4):1575-1599. doi:10.3934/nhm.2023069