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seminars:datasci:191105 [2019/10/28 16:23] – created sdangseminars:datasci:191105 [2019/11/04 18:12] (current) qyu
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 +<WRAP centeralign>##Data Science Seminar##\\ Hosted by Department of Mathematical Sciences</WRAP>
  
 +  * Date: Tuesday, Nov 5, 2019
 +  * Time: 12:00pm -- 1:00pm
 +  * Room: WH-100E
 +  * Speaker: Wangshu Tu (Binghamton University)
 +  * Title: Non existence of fixed sample estimator for prescribed proportional closeness
 +
 +<WRAP center box 80%>
 +<WRAP centeralign>**//Abstract//**</WRAP>
 +Proportional closeness is a common practice in engineering and applied
 +sciences. It asks for an estimator of a parameter of a statistical
 +distribution which, with high probability, does not deviate from the value
 +of the parameter by more than a certain percentage of its absolute
 +value(Zacks 1966). If x is a parameter of consideration, we can write
 +proportional closeness as P(|x^-x|<d|x|)> r, where d and r are in (0,1).
 +In this talk, we will prove that there is no fixed sample estimator,
 +satisfy above inequality for all x.
 +</WRAP>