a confidence distribution (CD) has often been loosely referred to as a distribution function on the parameter space that can represent confidence intervals...

(if any) that determine the distribution. A confidence interval for the parameter θ {\displaystyle \theta } , with confidence level or coefficient γ {\displaystyle...

for a binomial confidence interval, but all of them rely on the assumption of a binomial distribution. In general, a binomial distribution applies when...

deviation of the errors were known, a normal distribution would be used instead of the t distribution. Confidence intervals and hypothesis tests are two statistical...

given by confidence sets or credible sets. A point estimator can also be contrasted with a distribution estimator. Examples are given by confidence distributions...

theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in...

testing and in construction of confidence intervals. This distribution is sometimes called the central chi-squared distribution, a special case of the more...

recently in Ostrovski (2018). In the setting of a multinomial distribution, constructing confidence intervals for the difference between the proportions of...

theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...

statistics, cumulative distribution function (CDF)-based nonparametric confidence intervals are a general class of confidence intervals around statistical...

In statistics, a confidence region is a multi-dimensional generalization of a confidence interval. For a bivariate normal distribution, it is an ellipse...

Given an observation k from a Poisson distribution with mean μ, a confidence interval for μ with confidence level 1 – α is 1 2 χ 2 ( α / 2 ; 2 k ) ≤...

proportion confidence interval Confidence distribution False coverage rate Interval estimation However, some textbooks use the terms nominal confidence level...

of point-wise confidence intervals, but it is also possible to construct a simultaneous confidence band for the cumulative distribution function as a...

Wald's confidence intervals. A closed form Bayes estimator for p also exists when using the Beta distribution as a conjugate prior distribution. When using...

situation-specific prior distribution, while the frequentist confidence intervals do not. Credible sets are not unique, as any given probability distribution has an infinite...

coefficient r is near 1 or -1, its distribution is highly skewed, which makes it difficult to estimate confidence intervals and apply tests of significance...

log-normal distribution to ranked annually maximum one-day rainfalls showing also the 90% confidence belt based on the binomial distribution. The rainfall...

variance, confidence intervals, prediction error, etc.) to sample estimates. This technique allows estimation of the sampling distribution of almost any...

density is both a Bayesian posterior density and an exact optimal confidence distribution density. Mathematics portal Autocorrelation Canonical correlation...

In probability theory and statistics, a probability distribution is a function that gives the probabilities of occurrence of possible events for an experiment...

The standard error is a key ingredient in producing confidence intervals. The sampling distribution of a mean is generated by repeated sampling from the...

compared to the width of the confidence interval. This illustrates that it may be difficult to determine which distribution gives better results. For example...

that the same argument applies to the so-called "confidence distribution" associated with confidence intervals, so the conclusion to be drawn from this...

so-called confidence distribution is not a valid probability distribution and, since this has not invalidated the application of confidence intervals...

percentage of values that lie within an interval estimate in a normal distribution: approximately 68%, 95%, and 99.7% of the values lie within one, two...

continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions. Such a distribution describes an experiment...

software employs the binomial distribution to determine the confidence belt of the corresponding cumulative distribution function. The prediction of the...

(e.g., hypothesis testing, confidence intervals). The bootstrap, on the other hand, first estimates the whole distribution (of the point estimator) and...

is a data analysis framework that uses a combination of effect sizes, confidence intervals, precision planning, and meta-analysis to plan experiments,...