“…2 Those early PIN models yield what we call a "static PIN", since they assume constant arrival rates of informed and uninformed trades and typically are estimated in a stockquarter basis. A numerous literature has used alternative varieties of the static PIN as a measure of information asymmetry, for example Easley, Hvidkjaer, and O'Hara (2002), Chung, Li, and McInish (2005), Vega (2006), and more recently, Chung, Elder, and Kim (2010), Chen and Zhao (2012), Lin, Lee, and Wang (2013), Sankaraguruswamy, Shen, and Yamada (2013) and Chang and Lin (2015). By construction the "static" PIN is limited to measure cross-sectional variation of informed trading, rather than time-series effects.…”