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  "Description": "Decomposes macroeconomic time series into trend and cycle\nwith the Hodrick-Prescott (HP) filter and two data-driven\nversions of it. The modified HP filter of McDermott (1997),\nassessed by Choudhary, Hanif and Iqbal (2014)\n<doi:10.1080/00036846.2014.894631>, chooses the smoothing\nparameter of every series by generalised cross-validation (as\ndescribed in Coe and McDermott (1997) <doi:10.2307/3867497>).\nThe fully modified HP filter of Hanif, Iqbal and Choudhary\n(2017, State Bank of Pakistan Working Paper 88) also reduces\nthe end-point bias of the HP filter: it raises the smoothing\nparameter at the first and last observations, with linear or\nquadratic weights chosen to minimise the loss of Bloechl (2014,\nUniversity of Munich Discussion Paper 2014-1). Every filter is\na banded linear solve, so the searches are fast; batch\nprocessing of many series, comparisons of the filters, the\nfilter weights, gain functions and end-point loss, simulation\nof trend-plus-cycle series and the power comparison of the\npaper, 'ggplot2' graphics, a plain-language interpretation of\nevery result and a built-in 'shiny' application.",
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