The Inverse Gaussian Models: Analogues of Symmetry, Skewness and Kurtosis

The inverse Gaussian (IG) family is strikingly analogous to the Gaussian family in terms of having simple inference solutions, which use the familiar ², t and F distributions, for a variety of basic problems. Hence, the IG family, consisting of asymmetric distributions is widely used for modelling and analyzing nonnegative skew data. However, the process lacks measures of model appropriateness corresponding to and ₂, routinely employed in statistical analyses. We use known similarities between the two families to define a concept termed IG-symmetry, an analogue of the symmetry, and to develop IG-analogues ₁ and ₂ of and ₂, respectively. Interestingly, the asymptotic null distributions of the sample versions d ₁, d ₂ of ₁, ₂ are exactly the same as those of their normal counterparts and b ₂. Some applications are discussed, and the analogies between the two families, enhanced during this study are tabulated.     

Synthesis and spectral studies of cobalt(II), nickel(II) and copper(II) complexes of 1-(2-hydroxy-1-naphthyl)-3-(4-X-phenyl)-2-propen-1-ones and their pyridine adducts

Transition Metal Chemistry - Metal(II) chelates of the type ML2nB [M = CoII, NiII and CuII; L = 1-(2-hydroxy-1-naphthyl)-3-(4-X-phenyl)-2-pro-pen-1-one, (X = H, Cl or Me); B = H2O or Py; n = 0, 2]...     

Pressure induced amorphization of AlPO4

AlPO₄ has been compressed to pressures of 16 GPa in a diamond anvil cell and its X-ray diffraction pattern studied by the energy-dispersive technique. The compound is observed to become amorphous at ∼ 12 GPa. This explains the loss of Raman spectrum of AlPO₄ reported by Jayaraman and coworkers (1987).     

Studies on the mixing of two non-axial jets in a confined passage — turbulence characteristics

The mean characteristics of the flow due to mixing of two non-axial plane jets in a confined passage, were reported previously by Manjunath et al. (Exp. Fluids 11 (1991), 17–24), as part I. In this paper, the turbulence characteristics of the flow are discussed. The various components of the Reynolds stress tensor are reported for the four inlet angles considered, viz., 15°, 30°, 45° and 60°. As expected from the mean flow field, the inlet angle influences the distribution of the various turbulence components through the relative size of the recirculation zones and the turbulence field is different for the smaller angles of 15° and 30° in comparison to those for 45° and 60°.     

Determination of Cd, Co, Cu, Fe and Ni at parts per billion level in high-purity gallium by graphite furnace atomic absorption spectrometry (GFAAS)

Summary The determination of Cd, Co, Cu, Fe and Ni in 6N gallium by GFAAS is reported. The analytes are extracted as pyrrolidine dithiocarbamates into methyl-iso-butyl-ketone (MIBK) in the presence of tartrate. The conditions of extraction, quantity of reagents required and the matrix interference aspects are discussed. The method offers one-step matrix removal and preconcentration, leading to low experimental blanks.     

Rh2(OAc)4-catalyzed reactions of alpha-diazoimides: a simple and novel synthesis of mono- and bis(2,3-fused perhydrooxazol-4-one) systems

Simply, trapping the intermediate isomünchnone 1,3-dipoles by the external oxygen nucleophiles resulted in new heterocyclic systems and the use of diols led to the formation of four carbon-oxygen bonds in a single operation which eventually delivered bis(2,3-fused perhydrooxazol-4-one) systems.