Adjusting Coronavirus Prevalence Estimates for Laboratory Test Kit Error

Average Case Error Estimates for the Strong Probable Prime Test

Consider a procedure that chooses fe-bit odd numbers independently and from the uniform distribution, subjects each number to t independent iterations of the strong probable prime test (Miller-Rabin test) with randomly chosen bases, and outputs the first number found that passes all t tests. Let pfc , denote the probability that this procedure returns a composite number. We obtain numerical upp...

Adjusting HIV prevalence estimates for non-participation: an application to demographic surveillance

INTRODUCTION HIV testing is a cornerstone of efforts to combat the HIV epidemic, and testing conducted as part of surveillance provides invaluable data on the spread of infection and the effectiveness of campaigns to reduce the transmission of HIV. However, participation in HIV testing can be low, and if respondents systematically select not to be tested because they know or suspect they are HI...

What Size Test Set Gives Good Error Rate Estimates?

We address the problem of determining what size test set guarantees statistically significant results in a character recognition task, as a function of the expected error rate. We provide a statistical analysis showing that if, for example, the expected character error rate is around 1 percent, then, with a test set of at least 10,000 statistically independent handwritten characters (which coul...

What Size Test Set Gives Good Error Rate Estimates?

Error estimates for mixed methods

— This paper présents abstract error estimâtes for mixed methods for the approximate solution of elliptic boundary value problems. These estimâtes are then applied to obtain quasi-optimal error estimâtes in the usual Sobolev norms for four examples: three mixed methods for the biharmonic problem and a mixed method for second order elliptic problems. Resumé. Dans cet article, on présente des est...