seminars:datasci:191105 [Department of Mathematics and Statistics, Binghamton University]

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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

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<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.
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