Confidence Limits for the Precision Parameter k

Precision Measurement of the Undulator K Parameter Using Spontaneous Radiation

Obtaining precise values of the undulator parameter, K, is critical for producing high-gain FEL radiation. At the LCLS [1], where the FEL wavelength reaches down to 1.5 Å, the relative precision of K must satisfy (ΔK/K)rms 0.015% over the full length of the undulator. Transverse misalignments, construction errors, radiation damage, and temperature variations all contribute to errors in the mean...

Confidence interval for the two-parameter exponentiated Gumbel distribution based on record values

In this paper, we study the estimation problems for the two-parameter exponentiated Gumbel distribution based on lower record values. An exact confidence interval and an exact joint confidence region for the parameters are constructed. A simulation study is conducted to study the performance of the proposed confidence interval and region. Finally, a numerical example with real data set is gi...

Confidence Intervals for the Binomial Parameter

Stronger Classical Confidence Limits

A new way of defining limits in classical statistics is presented. This is a natural extension of the original Neyman’s method, and has the desirable property that only information relevant to the problem is used in making statistical inferences. The result is a strong restriction on the allowed confidence bands, excluding in full generality pathologies as empty confidence regions or unstable s...

Trading Recall for Precision with Confidence Sets

Many statistical applications in computational linguistics are plagued by sparse data. Exact statistics can be used to avoid the inaccuracies of methods that rely on large sample approximations, but point estimators (even using exact statistics) suffer from high variance when used with extremely small sample sizes. While the performance of any statistical method is limited by the lack of inform...