Exact(1)
If it happens that (S_{X_{1},X_{2}}(x_{1},x_{2})) is continuous, its vector hazard gradient R(x 1,x 2) is useful even when it does not exist everywhere in the interior of the set (mathcal {A}), see Marshall (1975).
Similar(59)
The damage condition of the roads was determined by overlaying the secondary geological hazard vector obtained through image interpretation and the road vector file (Fig. 8).
(hazard vector elements in singularity and absolutely continuous cases).
Field survey personnel carry smart mobile terminals (mobile phones and tablet PCs) equipped with background spatial vector data of hazard-affected elements within the survey area and post-disaster remote sensing images.
The main purpose of this article is to characterize a class of bivariate continuous non-negative distributions such that the sum of the components of underlying hazard gradient vector is a linear function of its arguments.
The next characterization theorem holds for bivariate continuous distributions belonging to the class (mathcal {L}(mathbf {x};mathbf {a})) whose survival functions possess continuous first partial derivatives, and hence continuous hazard gradient vector R(x 1,x 2), in (mathcal {A} backslash L).
The hazard gradient vector R(x 1,x 2) (if exists) uniquely determines the bivariate distribution by means of line integral S_{X_{1},X_{2}}}(x_{1},x_{2}) = exp left{ - int_{mathcal{C}} mathbf{R z)} mathrm{d} textbf{z} right}, (5).
Observe that if our base relation is (11), then the LS-BLMP can be characterized by the joint survival function specified by (12), without the assumption of existence of hazard gradient vector R(x 1,x 2) as in Theorem 2. Applying the Sklar's theorem to (12), one can obtain the survival copula corresponding to the class (mathcal {L}(mathbf {x};mathbf {a})), see Pinto and Kolev (2015a).
The coefficient β hk is the parameter vector of the proportional hazard model for each transition hk.
Background information is mainly a database that contains the vector spatial extent of hazard-affected elements in areas of high vulnerability and risk with their essential attributes for damage assessment.
Targeted pathogens include infectious diseases in animals, zoonotic diseases, food-borne hazards, vector-borne infections, and resistant pathogens and resistance genes.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com