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  "Title": "Hypothesis Tests for Functional Time Series",
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  "Description": "Provides a collection of white noise hypothesis tests for\nfunctional time series and related visualizations. These\ninclude tests based on the norms of autocovariance operators\nthat are built under both strong and weak white noise\nassumptions. Additionally, tests based on the spectral density\noperator and on principal component dimensional reduction are\nincluded, which are built under strong white noise assumptions.\nAlso, this package provides goodness-of-fit tests for\nfunctional autoregressive of order 1 models. These methods are\ndescribed in Kokoszka et al. (2017)\n<doi:10.1016/j.jmva.2017.08.004>, Characiejus and Rice (2019)\n<doi:10.1016/j.ecosta.2019.01.003>, Gabrys and Kokoszka (2007)\n<doi:10.1198/016214507000001111>, and Kim et al. (2023) <doi:\n10.1214/23-SS143> respectively.",
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      "title": "`autocorrelation_coeff_h` Computes the approximate functional autocorrelation coefficient at a given lag.",
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      "title": "Plot Confidence Bounds of Estimated Functional Autocorrelation Coefficients",
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      "page": "covariance_i_j_vec",
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      "title": "`far_1_S` Simulates an FAR(1,S)-fGARCH(1,1) process with N independent observations, each observed discretely at J points on the interval [0,1].",
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      "title": "`fgarch_1_1` Simulates an fGARCH(1,1) process with N independent observations, each observed",
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      "title": "Compute Functional Hypothesis Tests",
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