Distribution-free inference in record series

Let {X _t , t = 1} be a time series. A (upper) record is a value X _j such that X _j > max{X ₁,…,X _j-1}. Some popular models in record theory are the Yang-Nevzorov and the Linear Drift models. The stochastic behavior of records under these models has been much studied and many interesting distribution-free properties have been unearthed. However the estimation of the parameters of these models has been less explored. This work introduces some estimators of these parameters. Their behavior is investigated theoretically and by numerical simulations. It is shown that some of these estimators are easy to compute and their asymptotic properties are accurate and distribution-free. Some goodness-of-fit tests for these models are also presented.     

Inférence fondée sur la vraisemblance pour des modèles de records

In a time series $\{X_t,t\ge 1\}$, $X_j$ is said to be an upper record if $X_j>\max ?\{X_1,\dots ,X_{j?1}\}$. Some popular models for records are the Yang–Nevzorov and the Linear Drift models. In this note, we introduce for these models the joint likelihood of the record sequence and the indicators of their occurrence. This likelihood can then be used to obtain estimators of the unknown parameters in the models. It can also be used to derive inferential procedures associated with the selection of a proper model for such data.     

Characterisation of the metabolites of an antibacterial endophyte Botryodiplodia theobromae Pat. of Dracaena draco L. by LC–MS/MS

Botryodiplodia theobromae Pat. belongs to the endophytic fungi that live within the tissues of medicinal plants and produce bioactive natural products. The endophyte was isolated from the leaves of Dracaena draco L. The LC–MS-based metabolite fingerprinting of the ethyl acetate extract of B. theobromae with antibacterial activity led to the identification of 13 metabolites pertaining to various classes: dipeptides (maculosin and L,L-cyclo(leucylprolyl), alkaloid (norharman), coumarin and isocoumarins (bergapten, meranzin and monocerin), sesquiterpene (dihydrocumambrin A), aldehyde (formyl indanone), fatty alcohol (halaminol A) and fatty acid amide (palmitoleamide, palmitamide, capsi-amide and oleamide). This study reports for the first time, the LC–MS and LC–MS/MS identification of 13 known bioactive metabolites from the antibacterial ethyl acetate extract of B.theobromae isolated from the leaves of D. draco L.     

Syntheses of 3,4,7‐triazaacenaphthylene and pyrido[3,4,5‐de]cinnoline derivatives

The title compounds were prepared by four different routes: (1) reaction of cycloalkanopyridazines 3a–e with trichloroacetonitrile in basic medium; (2) reaction of 3a–d with DMF DMA, followed by nucleophilic treatment with a primary amine; (3) reaction of 2‐(dimethylamino)methylene‐cycloalkylidene‐malononitrile with arene diazonium salt, followed by amine treatment; (4) reaction of cycloalkylidenemalononitrile with phenyl or benzoyl isothiocyanate and heating the product with diazoaminobenzene. © 2003 Wiley Periodicals, Inc. Heteroatom Chem 14:427–433, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/hc.10168     

On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T2

We consider the problem of large‐data scattering for the quintic nonlinear Schrödinger equation on R × T ². This equation is critical both at the level of energy and mass. Most notably, we exhibit a new type of profile (a “large‐scale profile”) that controls the asymptotic behavior of the solutions. © 2014 Wiley Periodicals, Inc.     

Dissolution enhancement of artemisinin with β-cyclodextrin

The main objective of this research is to improve the dissolution rate of artemisinin (ART) by fabrication with β-cyclodextrin (β-CD) as a hydrophilic carrier. Artemisinin nanoparticles and ART/β-CD complexes were successfully fabricated by means of evaporative precipitation of nanosuspension. Characterization of the samples was done by scanning electron microscopy (SEM), Fourier transform infrared (FT-IR), X-ray diffraction (XRD), differential scanning calorimetry (DSC) and dissolution tester. Percent dissolution efficiency, mean dissolution time, relative dissolution and similarity factor were calculated for the statistical analysis of dissolution data. FT-IR showed some interaction between ART and β-CD, which can be due to the formation of some ART/β-CD complexes. XRD study indicated the presence of two polymorphs of ART, i.e. orthorhombic and triclinic form. Original ART particles and ART nanoparticles fabricated were orthorhombic whereas the free ART in the ART/β-CD complexes (not forming complex with β-CD) was of triclinic form. The crystallinity of ART reduced and more and more ART/β-CD complexes were formed with increasing concentration of β-CD as indicated by the DSC, XRD and FT-IR studies. Artemisinin nanoparticles and ART/β-CD complexes showed significantly faster dissolution than the pure drug due to smaller size (larger surface area), formation of the inclusion complex with β-CD, formation of the triclinic form for remaining free ART (not forming complex with β-CD), and amorphous state formation. Evaporative precipitation of nanosuspension was able to successfully fabricate artemisinin in the nanoparticles and complex forms with significantly faster dissolution rates than that of the original artemisinin. The two polymorphic forms of ART were also fabricated and studied.     

Heterolytic activation of hydrogen using frustrated Lewis pairs containing tris(2,2',2'-perfluorobiphenyl)borane

The extremely sterically hindered borane tris(2,2',2'-perfluorobiphenyl)borane (PBB) has been structurally characterised. In combination with bulky nitrogen bases, it forms the 'frustrated Lewis pairs' (FLPs) PBB/2,2,6,6-tetramethylpiperidine (TMP) (1), PBB/1,4-diazobicyclo[2.2.2]-octane (DABCO) (2) and PBB/2,6-lutidine (lut) (3). These novel, unquenched acid-base pairs have been shown to effect facile room temperature heterolytic cleavage of dihydrogen to form the ammonium borate salts [2,2,6,6-Me(4)C(5)H(6)NH(2)][HB(C(12)F(9))(3)] (4) and [N(C(2)H(4))(3)NH][HB(C(12)F(9))(3)] (5), and lutidinium borate [2,6-Me(2)C(5)H(3)NH][HB(C(12)F(9))(3)] (6). Although these reactions are equilibria, the reverse reaction and release of hydrogen gas was not apparent at temperatures up to 120 °C. The relative Lewis acidity of PBB has been determined using the Gutmann-Beckett method.     

The Synthesis of Some New Sulfur Heterocyclic Compounds as Potential Radioprotective and Anticancer Agents

Some novel 5-subistituted amino-3-methylthiophene-2,4-dicarboxylic acid diethyl ester (3–6), 3,5-dimethyl-4-oxo-2-thioxo-1,2,3,4-tetra-hydro-thieno[2,3-d]pyrimi-dine (7), imidazothienopyrimidene (8), and 1,2,4-triazolo-thienopyrimidine (11) were synthesized via a reaction of the isothiocyanate 2 with different reagents. The identification of the new compounds was established by elemental analysis, and IR, ¹H NMR, and mass spectral data. Some prepared compounds were tested for their radioprotective and anticancer activities. Compounds 7 and 16 showed significant activities against EAC cells, while compound 5 exhibited radioprotective activity.     

The Utility of Isothiocyanato Thiophenes in the Synthesis of Thieno[2,3-d]pyrimidine Derivatives as Possible Radioprotective and Anticancer Agents

The synthesis of novel thioureido derivatives 3, 8, and 10; biscompounds 7, 9, and 11; and tetracyclic compounds 5, 6, and 16 utilizing 5-isothiocyanato-3-methyl-thiophene-2,4-dicarboxylic acid diethyl ester 2 are reported. The structures of these compounds were confirmed by microanalyses and IR, ¹H NMR, and mass spectroscopy. Preliminary biological studies of some of the synthesized compounds showed promising radioprotective and anticancer activities.     

Acylphosphonamidates and α-hydroxyiminophosphonamidates. Synthesis of N-acylphosphordiamidates by Beckmann rearrangement. Crystal structure of (E)-α-hydroxyiminobenzyl-1-pyrrolidinylphosphinate

Reaction of methyl benzoylphosphonochloridate (3) with a secondary or primary series of amines yielded methyl benzoylphosphonamidates, 4a-e. The latter compounds reacted with hydroxylamine to yield a-hydroxyiminobenzylphosphonamidates (5a-e), largely as (E)-isomers. The structure of methyl (E)-a-hydroxyimino-benzyl-1-pyrrolidinylphosphinate (5b) was determined by single-crystal X-ray crystallography. Heating oximes 5a-e in boiling toluene caused them to undergo Beckmann rearrangement to N-benzoylphosphordiamidates 6a-e. © 1996 John Wiley & Sons, Inc.