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  "Title": "Affine-Equivariant Adjusted-Range Self-Normalization for\nTime-Series Inference",
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  "Description": "Tuning-free inference on fixed-dimensional parameters of\ndependent time series using affine-equivariant adjusted-range\nself-normalization. The centered partial-sum path of estimated\ninfluence contributions is normalized by its increment hull,\nthe convex hull of all path increments. The gauge of the hull\nprovides an asymptotically pivotal test statistic and an\naffine-equivariant confidence region without estimating the\nlong-run covariance matrix, and its support function gives\nsimultaneous confidence intervals for linear contrasts. For a\nsingle parameter the construction reduces exactly to\nadjusted-range self-normalization, whose limiting distribution\nis available in closed form. The Brownian reference law is\nsimulated on a grid matched to the sample size or a supplied\ncommon variance-accumulation profile; inference for dependent\nobservations remains asymptotic. Five further methods are\nprovided for comparison on the same estimate and influence\ncontributions: componentwise adjusted ranges after lag-zero\npartial prewhitening, quadratic self-normalization following\nShao (2010) <doi:10.1111/j.1467-9868.2009.00737.x>, kernel\nlong-run covariance estimation with automatic bandwidth\nselection following Andrews (1991) <doi:10.2307/2938229> and\nNewey and West (1994) <doi:10.2307/2297912>, Bartlett fixed-b\ninference following Kiefer and Vogelsang (2005)\n<doi:10.1017/S0266466605050565>, and the equal-weighted cosine\nmethod of Lazarus, Lewis, Stock and Watson (2018)\n<doi:10.1080/07350015.2018.1506926>. Model interfaces are\nprovided for sample means, linear regression, smooth\ngeneralized method of moments, and conditional likelihood\nscores; other estimators are handled through user-supplied\ninfluence contributions. The methods follow Hong, Lin, Linton,\nNewey and Sun (2026), Cambridge Working Papers in Economics No.\n2678\n<https://www.janeway.econ.cam.ac.uk/publication/affine-equivariant-adjusted-range-self-normalization>\nand, for the scalar case, Hong, Linton, McCabe, Sun and Wang\n(2024) <doi:10.1016/j.jeconom.2023.105603>.",
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