It is demonstrated that when the uncertainty reflected in a lognormal probability distribution is large, the use of a confidence interval provides much more useful information about the variable used to represent a particular physical quantity than can be had by adhering to the notion that the ...
confidence intervallognormalm-estimatenon-parametricregressionApproximate confidence intervals are given for the lognormal regression problem. The error in the nominal level can be reduced to O(n 2), where n is the sample size. An alternative procedure is given which avoids the non-robust ...
confidence intervalcoverage probabilitylog‐normal meanparametric bootstrapr*‐formulasigned log﹍ikelihood ratioTo construct a confidence interval for the mean of a log-normal distribution in small samples, we propose likelihood-based approaches - the signed log-likelihood ratio and modified signed log...
confidence intervalhypothesis testType 1 errorThe problem of assessing occupational exposure using the mean of a lognormal distribution is addressed. The novel concepts of generalized p-values and generalized confidence intervals are applied for testing hypotheses and computing confidence intervals for a ...
The purpose of this paper is to explore methods for constructing the con- fidence interval for the difference of CVs of the lognormal distributions and the difference of CVs for delta-lognormal distributions. It appears to be the first attempt to derive in these topics. We propose two methods...
Log-normal distribution and Weibull distribution are considered. The measures of skewness under the consideration are 1.0, 3.0, 5.0, respectively. The sample sizes are 10, 30, 50 and the confidence levels are 0.95. The consideration has two steps. First, the confidence level of interval ...
Let X1,…, Xn be a sample of size n from a normal population having known standard deviation σ, and suppose we want to utilize this sample to obtain a 95 percent confidence interval estimator for the population mean μ. To obtain such an interval, we start with the sample mean , which...
How to find a confidence interval for a sample or proportion in easy steps. Videos showing the steps for 95% intervals, proportions...
If the sample size is too small, then the confidence interval will be larger to account for potential imprecision of the experiment. If the sample size is larger, then the confidence interval can be narrower because it is more precise in its estimation of the true mean value. H...
Confidence interval / p-value duality: don't they use different distributions? 7 Quality measure for predictive Highest Density Regions 5 Computing Highest Density Region given multivariate normal distribution with dimension dd > 3 9 How to get multivariate credible interval estimate(s) / highes...