Signed-likelihood ratio tests (SLRTs) are derived for testing the shape and scale parameters and the mean of a gamma distribution. The properties of the proposed tests are evaluated by Monte Carlo simulation and compared with the other tests available in the literature. SLRTs are also developed...
Since the variance does not depend on the mean of the underlying distribution, the result obtained using the transformed variables will give an identical result while immediately eliminating expectation values of sums of terms containing odd powers of (which equal 0). To determine , expand equation...
Multiple Testing for One Mean (One-Sample or Paired Data) Conditional Power and Sample Size Reestimation of Tests for Two Means in a 2x2 Cross-Over Design Conditional Power and Sample Size Reestimation of Non-Inferiority Tests for Two Means in a 2x2 Cross-Over Design Conditional Power and ...
where the sample mean and is the sample size. To estimate the population variance from a sample of elements with a priori unknown mean (i.e., the mean is estimated from the sample itself), we need an unbiased estimator for . This estimator is given by k-statistic , which is defined ...
itprovidesabasetoinvestigatetheaccuracyofthedifferentproposedapproximations. NowletX 1 ,...,X n bearandomsamplewithmean ¯ Xandsamplevariance S 2 =(n−1) −1 ∑ n i=1 (X i − ¯ X) 2 fromagammadistributionwithpdf g α (x)=x ...
We also assume that the prior distributions are independent Using squared error loss function, a Bayes allocation of total sample size with a cost constraint is given. The Bayes estimate using the Bayes allocation is shown t o have an adjusted mean square error which is strictly less than the...
Also, in some situations there might be interest in the conditional mean of y given x, even though the population mean is not robust. 10.1.1 Computing Confidence Intervals Under Heteroscedasticity When using the OLS estimator, various methods have been proposed for computing confidence intervals for...
No language shows evidence in favour of word-initial shortening. For the languages for which we have evidence, the 89% HPDI does not intersect with zero or the values defined in the ROPE. The mean of the HPDI for the 43 languages ranges mostly between 0.1 and 0.3 on the log scale, ...
is taken to be the set of distributions with a given mean and covariance in a specific inventory context. dro has since received much attention, with many authors focusing on duss \(\mathcal {f}\) defined by fixing the first few moments of the distribution [ 8 , 11 , 37 , 38 ], ...
Increasing the number of cells per individual increases both the expression probability and the eQTL power by shifting the expression mean of the pseudo bulk counts to higher values. Notably, increasing the number of measured cells per individual and increasing the sample size both result in higher...