Confidence Intervals for Some Functions of Several Bernoulli Parameters with Reliability Applications
多个 Bernoulli 参数函数的置信区间及可靠性应用
The estimation of functions of Bernoulli parameters is of interest in reliability theory. In this article, the theory of exponential families is used to obtain exact confidence limits for products and quotients of Bernoulli parameters when negative binomial observations are available from each population. Sampling methods based on compound Poisson distribution are suggested for estimating more general functions such as sums of products of Bernoulli parameters. Finally, it is…