Sentence examples for ratio order from inspiring English sources

The following result stochastically compares the MLFD with the HP by using the likelihood ratio order.

For α > 1, X ~ MLFD is smaller than Y ~ HP distribution in the likelihood ratio order i.e. X ≤  lr   Y, while for 0 < α < 1, HP is greater than MLFD distribution in the likelihood ratio order i.e. Y ≤  lr   X.

If the random variables in the derived process were ordered in the likelihood ratio order, then we could generalize the previous result, by using Theorem 2.9(c).

Misra and Misra [1] have compared the lifetimes of series systems according to the reversed hazard rate order and the likelihood ratio order.

Misra and Misra [1] have considered the stochastic comparisons of series systems according to the reversed hazard rate order and the likelihood ratio order.

Theorem 2. X ~ ECOMP (v, p, α, β) is smaller than Y ~ GCOMP (v, p, β) in the likelihood ratio order i.e. X ≤ lr   Y when α > 1.

We establish two interesting results on likelihood ratio ordering which have no restriction on the parameters.

Two-step phosphonic acid anodizing allows the fabrication of high aspect ratio ordered porous alumina.

The influence factors such as Si/Ti ratio, orders of hydrolysis, annealing temperature and doping concentration were systematically studied.

Moreover, we also establish likelihood ratio ordering results of series and parallel systems in multiple-outlier models.

The ordering schemes for frequentist construction currently supported are the likelihood ratio ordering (also known as Feldman Cousins) and Neyman ordering.