Improved closed-form prediction intervals for binomial and Poisson distributions

Krishnamoorthy K.; Peng J.

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Improved closed-form prediction intervals for binomial and Poisson distributions

机译：改进了二项分布和泊松分布的封闭形式预测间隔

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The problems of constructing prediction intervals for the binomial and Poisson distributions are considered. Available approximate, exact and conditional methods for both distributions are reviewed and compared. Simple approximate prediction intervals based on the joint distribution of the past samples and the future sample are proposed. Exact coverage studies and expected widths of prediction intervals show that the new prediction intervals are comparable to or better than the available ones in most cases. The methods are illustrated using two practical examples.

机译：考虑构造二项式和泊松分布的预测区间的问题。审查并比较了两种分布的可用近似，精确和条件方法。提出了基于过去样本和未来样本的联合分布的简单近似预测区间。精确的覆盖范围研究和预测间隔的预期宽度表明，在大多数情况下，新的预测间隔与可用的预测间隔相当或更好。使用两个实际示例说明了这些方法。

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《Journal of Statistical Planning and Inference》 |2011年第5期|共10页
作者
Krishnamoorthy K.; Peng J.;
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正文语种 eng
中图分类统计学;
关键词
Clopper-Pearson approach; Conditional approach; Coverage probability; Hypergeometric distribution;

机译：Clopper-Pearson方法;条件方法;覆盖率;超几何分布;

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1. Improved closed-form prediction intervals for binomial and Poisson distributions [J] . Krishnamoorthy K., Peng J. Journal of Statistical Planning and Inference . 2011,第5期

机译：改进了二项分布和泊松分布的封闭形式预测间隔
2. Tolerance Intervals With Improved Coverage Probabilities for Binomial and Poisson Variables [J] . Hsiuying WANG, Fugee TSUNG Technometrics . 2009,第1期

机译：二项式和Poisson变量的具有较高覆盖概率的公差区间
3. On goodness of fit tests for the Poisson, negative binomial and binomial distributions [J] . Beltran-Beltran J. I., OReilly F. J. Statistical papers . 2019,第1期

机译：关于泊松，负二项式和二项分子分布的适合测试的良好
4. (376)TEACHING BINOMIAL AND POISSON DISTRIBUTIONS IN AN UNDERGRADUATE ENGINEERING COURSE [C] . Carmen Capilla International Technology, Education and Development Conference . 2016

机译：（376）在本科工程课程中教授二项式和泊松分布
5. Prediction intervals for the Poisson model with applications to Atlantic storms data. [D] . Bejleri, Valbona. 2005

机译：泊松模型的预测间隔及其在大西洋风暴数据中的应用。
6. Bacterial Density in Water Determined by Poisson or Negative Binomial Distributions [O] . A. H. El-Shaarawi, S. R. Esterby, B. J. Dutka 1981

机译：泊松或负二项分布确定的水中细菌密度
7. Tolerance Intervals With Improved Coverage Probabilities for Binomial and Poisson Variables [O] . Hsiuying Wang, Fugee Tsung 2009

机译：具有改进的二项式和泊松变量的覆盖概率的宽容间隔
8. Simple,Efficient Closed-Form Approximations for Beta Percentiles,Exponential Prediction Intervals and Confidence Bounds on Expotential and Binomial Parameters, [R] . mann, n. r. grubbs, f. e. 1974

机译：Beta百分位，指数预测区间和指数和二项式参数置信区间的简单，有效的闭式近似，

Improved closed-form prediction intervals for binomial and Poisson distributions

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