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  "Title": "The Autorelevated Family of Probability Distributions and\nEstimation Methods",
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  "Description": "Implements the autorelevated family of probability\ndistributions, obtained by applying the autorelevation\ntransformation of Krakowski (1973)\n<doi:10.1051/ro/197307V201071> and Dileepkumar and Sankaran\n(2022) to ten baseline probability distributions: Weibull,\nLomax, Burr XII, Gompertz, Log-Logistic, Chen, Exponentiated\nExponential, Power Lindley, Log-normal, and Gamma. The Weibull\nmember of the family is studied in detail by Dileep Kumar,\nShabeer, and Sankaran (2025)\n<doi:10.1080/01966324.2026.2665479>. The Lomax member is\nstudied by Sharma, Pal, Bhardwaj, and Tyagi (2026, submitted),\nwho establish its upside-down bathtub hazard shape. Supplies\nvectorized density, distribution, survival, hazard, quantile\n(via the negative branch of the Lambert W function), and\nrandom-generation functions for all ten members of the family.\nIt also implements Maximum Likelihood, Maximum Product of\nSpacings, Least Squares, Weighted Least Squares, and Cramer-von\nMises estimation methods along with a Kolmogorov-Smirnov\ngoodness-of-fit test, a Total Time on Test plot, and model\nselection by AIC, BIC, CAIC, and HQIC. It also includes a\nbundled bladder cancer remission dataset (Lee and Wang, 2003)\nfor illustration.",
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