The exact probability distribution of the rank product statistics for replicated experiments

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The exact probability distribution of the rank product statistics for replicated experiments

机译：重复实验的排名产品统计信息的确切概率分布

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Therankproductmethodisawidelyacceptedtechniquefordetectingdifferentiallyregulatedgenesinreplicatedmicroarrayexperiments.Toapproximatethesamplingdistributionoftherankproductstatistic,theoriginalpublicationproposedapermutationapproach,whereasrecentlyanalternativeapproximationbasedonthecontinuousgammadistributionwassuggested.However,bothapproximationsareimperfectforestimatingsmalltailprobabilities.Inthispaperwerelatetherankproductstatistictonumbertheoryandprovideaderivationofitsexactprobabilitydistributionandthetruetailprobabilities...

机译：Therankproductmethodisawidelyacceptedtechniquefordetectingdifferentiallyregulatedgenesinreplicatedmicroarrayexperiments.Toapproximatethesamplingdistributionoftherankproductstatistic，theoriginalpublicationproposedapermutationapproach，whereasrecentlyanalternativeapproximationbasedonthecontinuousgammadistributionwassuggested.However，bothapproximationsareimperfectforestimatingsmalltailprobabilities.Inthispaperwerelatetherankproductstatistictonumbertheoryandprovideaderivationofitsexactprobabilitydistributionandthetruetailprobabilities ...

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《FEBS Letters》 |2013年第6期|共6页
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1. The exact probability distribution of the rank product statistics for replicated experiments [J] . EisingaR., BreitlingR., HeskesT. FEBS letters. . 2013,第6期

机译：重复实验的排名产品统计信息的确切概率分布
2. A fast algorithm for determining bounds and accurate approximate p-values of the rank product statistic for replicate experiments [J] . Tom Heskes, Rob Eisinga, Rainer Breitling BMC Bioinformatics . 2014,第1期

机译：一种用于确定重复实验的秩积统计量的界限和准确的近似p值的快速算法
3. New results in applied scattering theory: the physical-statistics approach, including strong multiple scatter versus classical statistical-physical methods and the Born and Rytov approximations versus exact strong scatter probability distributions [J] . Middleton D. Waves in Random Media . 2002,第1期

机译：应用散射理论的新结果：物理统计方法，包括强多重散射与经典统计物理方法以及Born和Rytov逼近与精确强散射概率分布
4. On the Exact, Asymptotic and Near-exact Distributions for the Likelihood Ratio Statistics to Test Equality of Several Exponential Distributions [C] . Carlos A. Coelho, Filipe J. Marques International Conference of Numerical Analysis and Applied Mathematics . 2011

机译：关于概率比统计的精确，渐近和接近精确分布，以测试几个指数分布的平等
5. A comparison of the power of an exact statistic to that of Wilcoxon's rank -sum statistic and the student's t statistic under various nonnormal distributions. [D] . Payne, W. Stephen. 2002

机译：在各种非正态分布下，精确统计量与Wilcoxon秩和统计量和学生t统计量的功效比较。
6. A fast algorithm for determining bounds and accurate approximate p-values of the rank product statistic for replicate experiments [O] . Tom Heskes, Rob Eisinga, Rainer Breitling 2014

机译：一种用于确定重复实验的秩积统计量的界限和准确的近似p值的快速算法
7. The exact probability distribution of the rank product statistics for replicated experiments [O] . Eisinga R.N., Breitling R., Heskes T.M. 2013

机译：重复实验的排名产品统计信息的确切概率分布
8. Exact Null Distributions and Asymptotic Expansions for Rank Test Statistics [R] . Rogers, W. F. 1971

机译：秩检验统计的精确空分布和渐近展开式

The exact probability distribution of the rank product statistics for replicated experiments

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