Negative binomial distributionNon-uniform boundPoisson approximationRatioStein–Chen methodThe Stein鈥揅hen method is used to determine uniform and non-uniform bounds on the ratio between the distribution function of a sum of independent negative binomial random variables and a Poisson distribution function...
negative-binomial-distribution moment-generating-function Share Cite Improve this question Follow edited Oct 6, 2018 at 12:17 asked Oct 6, 2018 at 2:43 Aishwarya Deore 11166 bronze badges Add a comment 1 Answer Sorted by: 1 MGF of YY is still in Negative Binomial form, i.e. Y...
nbconv was written to facilitate the evaluation of the sums of arbitrary negative binomial (NB) random variables. nbconv implements three distinct methods for approaching this problem: Furman's exact probability mass function (https://ssrn.com/abstract=1650365), saddlepoint approximation, and a metho...
Here I propose a change and extension to the to the Bcker-Kl眉ppelberg-Sprittulla formula: 1) A different mean correction which is more accurate when the number of random variables has a Poisson or Negative Binomial distribution. 2) Extension to multiple sums of different types of heavy-...
, N and X, where N is Poisson distributed, the PSS is defined as the distribution of the sum of N independently and identically distributed (i.i.d.) copies of X. Some examples of distributions that belong to the family of PSS are: negative binomial, Pólya–Aeppli and Neyman Type A. ...
Under these circumstances, consideration of a more accurate approximation of the distribution function is extremely important. A saddlepoint approximation is performed using upper probabilities from the distribution of the sum of independent non-identically gamma random variables under finite sample sizes. ...
into the gamma approximation to the negative binomial. Gamma approxima- tion to the generalized Dickman distribution is considered in detail in Section 4.3, where three gamma approximations are proposed as alternatives to the one with the same mean and variance. (A brief account of this distributi...
In order to infer differential signal within the data sets with robust statistical power, we utilize DEseq2, a method which tests for differential expression based on a model using negative binomial distribution (Kozak et al., 2013). Transcript count data from DESeq2 analysis was ranked ...
Poisson distributiongeometric distribu-tionKruskal-Wallis sum rank testsignificance level and powerIn this study, the robustness of power and significance level of several statistical testing methods was evaluated under the assumption that the test populations were from Poisson, negative binomial, or ...
Stopped sum modelsCitation countsDiscretised lognormalNegative binomialAICStandard errorIt is important to identify the most appropriate sLow... Low,J Wan,Wilson,... - 《Scientometrics An International Journal for All Quantitative Aspects of the Science of Science Policy》 被引量: 3发表: 2016年 ...