Stat 653 HW 3 Divya Nair
نویسنده
چکیده
Exercise 1 (2.1). An article in the New York Times (February 17, 1999) about the PSA blood test for detecting prostate cancer stated that, of men who had this disease, the test fails to detect prostate cancer in 1 in 4 (so called false-negative results), and of men who did not have it, as many as two-thirds receive false-positive results. Let C(C̄) denote the event of having (not having) prostate cancer and let +(−) denote a positive (negative) test result.
منابع مشابه
EECS 281 B / STAT 241 B : Advanced Topics in Statistical Learning Spring 2009 Lecture 16 — March 13 Lecturer :
16.1 Recap Last time (and also in Homework #3), we introduced the notion of covering and packing numbers. Definition 1. Given a set S and a metric ρ and tolerance ǫ, the ǫ-covering number is given by N(ǫ;S, ρ) = min { n | S ⊆ ∪i=1Bǫ(y), for some y(i) ∈ S} } . Here Bǫ(y) = {x | ρ(x, y) ≤ ǫ} is the ball of radius ǫ centered at y. Thus, the ǫ-covering number is the minimum number of balls of radiu...
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