Capacités et processus stochastiques by Claude Dellacherie

By Claude Dellacherie

Dellacherie C. Capacites et processus stochastiques (fr)(ISBN 0387056769)(Springer, 1972)

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3 Examples Measurements with known precision are common in manufacturing, where the consumer wants to know if a product meets the standard claimed on the label. A regulatory agency can take a random sample of a product under investigation, and look for evidence that the product complies with the rules. A manufacturer meanwhile will institute quality control procedures to ensure compliance. When storing blood samples, do the concentrations of key markers change over time or do they remain stable?

ISBN: 978-0-470-02864-3 52 COMPARING RISKS Questions • What is the evidence for treated subjects having a lower risk than control subjects? That is, for = p1 − p2 > 0; or, equivalently, for the relative risk RR = p1 /p2 > 1 or for the odds ratio OR = p1 (1 − p2 )/{p2 (1 − p1 )} > 1 ? • What are confidence intervals for the risk difference, relative risk and the odds ratio? 5)/(n2 + 1). Its distribution is complicated and the standardized version ( ˆ − 0)/SE[ ˆ ] converges to the standard normal distribution much slower than commonly believed.

2. 1 Ultrasound and left-handedness A study by Salvesen et al. (1993) found a slight positive association between in utero routine ultrasonography and subsequent left-handedness of 8- and 9-year-old children. Similar reports for only boys in a different study were reported by Kieler et al. (1998). 1 by 10 %? 11? 3, or 23 482. 3 of a 10 % increase, one needs a minimum sample size of n1 = 10 229. 5). Let p represent the risk of continued infection following treatment 50 EVALUATING RISKS by antibiotics.

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