Approximate Bayesian Confidence Intervals For The Variance Of A Gaussian Distribution

Distribution Free Confidence Intervals for Quantiles Based on Extreme Order Statistics in a Multi-Sampling Plan

Extended Abstract. Let Xi1 ,..., Xini   ,i=1,2,3,....,k  be independent random samples from distribution $F^{alpha_i}$،  i=1,...,k, where F is an absolutely continuous distribution function and $alpha_i>0$ Also, suppose that these samples are independent. Let Mi,ni and  M'i,ni  respectively, denote the maximum and minimum of the ith sa...

Monte Carlo Comparison of Approximate Tolerance Intervals for the Poisson Distribution

The problem of finding  tolerance intervals receives very much attention of researchers and are widely used in various statistical fields, including biometry, economics, reliability analysis and quality control. Tolerance interval is a random interval  that covers a specified  proportion of the population with a specified confidence level. In this paper, we compare approximate tolerance interva...

Approximate Confidence Intervals for a Parameter of the Negative Hypergeometric Distribution

The negative hypergeometric distribution is of interest in applications of inverse sampling without replacement from a finite population where a binary observation is made on each sampling unit. Thus, sampling is performed by randomly choosing units sequentially one at a time until a specified number of one of the two types is selected for the sample. Assuming the total number of units in the p...

Comparison of five introduced confidence intervals for the binomial proportion

So far many confidence intervals were introduced for the binomial proportion. In this paper, our purpose is comparing five well known based on their exact confidence coefficient and average coverage probability.

Two-tailed approximate confidence intervals for the ratio of proportions