Sentence examples for without assumption of from inspiring English sources

Mann-Whitney test was used to examine the effect of losartan in mice brains and used for human tissue analysis without assumption of normal distribution.

The rate constants in the multi-rate SCR were estimated with and without assumption of a specified lognormal distribution to test the lognormal assumption typically used to minimize the number of the rate constants in the multi-rate model.

In the further text, functions h and f are considered without assumption of non-negativity.

In [20] the authors presented some fixed point results in cone b-metric spaces without assumption of normality on cone.

Also, we present the existence and uniqueness theorem of positive mild solutions by the monotone iterative method without assumption of lower and upper solutions.

In this article, some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical distribution.

The wavelet transform and the linear mixed model with spectral tempering are two methods which have been used to analyse soil data without assumptions of stationarity in the variance.

Some sufficient conditions for complete convergence for weighted sums of arrays of rowwise ρ ˜ -mixing random variables are presented without assumptions of identical distribution.

In this paper, we show that a number of these results are nevertheless valid without assumptions of generalized metric being continuous or the respective topology being Hausdorff.

In the present paper, a discrete optimization problem with rather general input data (without assumptions of convexity and smoothness) is considered.

We will give some sufficient conditions for strong law of large numbers for an array of rowwise NOD random variables without assumptions of identical distribution and stochastic domination.