On Sample Size and Quick Simultaneous Confidence Interval Estimations for Multinomial Proportions
基于多项分布样本比例渐近服从奇异负乘积相关多元正态分布，提出估计样本量需求的新方法，用于构建快速同时置信区间，并为民意调查报告提供统计依据。
Abstract Asymptotically, sample proportions from a multinomial distribution converge in distribution to a multivariate normal distribution with a singular negative product correlation structure. Based on this result, we propose a new approach to estimate the sample size requirement for constructing quick simultaneous confidence intervals (QSCI) for multinomial proportions. In addition, this new approach can be used to construct QSCI and provides a statistical justification to the reports of the opinion polling. Key Words: Graphical approachMultivariate normal distributionSingular negative product correlation