Two special cases of this family are presented in Section 3. The density and hazard rate functions are described analytically in Section 4. A useful mixture representation for the pdf of the new family is derived in Section 5.
We provide some special models, a very useful mixture representation in terms of exponentiated distributions, explicit expressions for the ordinary and incomplete moments, generating function, mean deviations, probability weighted moments, entropies, reliability and order statistics.
The similarity of the mixture representation and the random effects one is discussed in Hinde and Demetrio ([1998]).
These priors are interesting due to its link to l1 regularization and secondly due to the mixture of Gaussian representation of the Student-t probability density: S t ( f j | ν ) = ∫ 0 ∞ N ( f j | 0, 1 / τ j ) G ( τ j | ν / 2, ν / 2 ) d τ j (33).
This enzyme can be used to degrade rapidly hybridizing components of a cDNA mixture, reducing the representation of highly expressed genes.
However, the development of models for mixtures requires very substantial effort regarding the storage and representation of mixtures, calculation of descriptors, and implementation of correct validation protocols.
The modification to incorporate multiphase conditions is achieved by substituting the mixture fraction variable as representation of the composition in the original implementation of the turbulent flame speed closure model with independent species.
The processing of auditory scenes is a formidable and multicomponent computational problem, requiring deconvolution of a complex, dynamic sound mixture and accurate perceptual representation of auditory objects embedded in the scene (Griffiths and Warren, 2002; Goll et al., 2010).
13065_2012_468_MOESM1_ESM.doc Additional file 1 : Antiproliferative evaluation results of the synthesized combinatorial mixtures M1-M22 and schematic representation of an orthogonal deconvolution for prediction of the active compounds.
