A Note on Asymptotic Normality of a Copula Function in Regression Model

Over the last decade, there has been significant and rapid development of the theory of copulas. Much of the work has been motivated by their applications to stochastic processes, economics, risk management, finance, insurance, the environment (hydrology, climate, etc.), survival analysis, and medical sciences. In many statistical models. The copula approach is a way to solve the difficult problem of finding the whole bivariate or multivariate distribution. In this paper, we give the asymptotic normality of the copulas function in a regression model

Kinetics and Thermodynamic Studies for Removal of Trypan Blue and Methylene Blue from Water Using Nano Clay Filled Composite of HTAB and PEG and its Antibacterial Activity

This work describes the preparation of new eco-friendly adsorbents with a simple method. At first, Montmorillonite (MMT) was modified with surfactant HTAB (MMT@HTAB) and then with polymer PEG (MMT@HTAB@PEG). The as-synthesized materials were characterized by several characterization techniques, including XRD, FTIR, SEM, TEM, TGA, N2 adsorption/desorption isotherm analysis by the BET method and zeta potential measurement then evaluated as adsorbents for removal of both methylene blue (MB) as a cationic dye and trypan blue (TB) as the anionic dye from aqueous solution under different contact time, dye concentration, temperature, and pH. The obtained results confirm the intercalation of surfactant within the clay layers, while the obtained nanocomposite showed different morphologies and structures in which the exfoliated and intercalated forms were obtained. The maximum adsorption capacity of TB and MB was found to be 190.81 and 237.22 mg/g, respectively, with MMT@HTAB@PEG adsorbent in an initial concentration of 100 mg/L at alkaline pH in 35 min and a temperature of 25 °C. The adsorption kinetics of TB and MB on MMT@HTAB@PEG was best fitted by the pseudo-second order model, and the isotherms results reveals better consistency of the Langmuir model, indicating that the adsorption is favorable and in the form of multilayers. The thermodynamic study showed that the adsorption processes of TB and MB by the both MMT@HTAB and MMT@HTAB@PEG adsorbents occur in an autonomous way and the temperature has not a significant effect on the adsorption capacity of TB and MB dyes. In addition, MMT@HTAB showed good antibacterial activity against both Escherichia coli (ATCC 8739) and Micrococcus luteus (ATCC 9341) bacteria compared to MMT@HTAB@PEG. The broadcast area was found to be 6 and 5 mm in Escherichia coli (ATCC 8739) and Micrococcus luteus (ATCC 9341), respectively

Nonparametric Estimation of a Conditional Quantile Density Function for Time Series Data

The aim of this paper is to estimate nonparametrically the conditional quantile density function. A non-parametric estimator of a conditional quantile function density is presented, its asymptotic properties are derived via the estimation of the conditional distribution, as of the conditional quantile in the case of dependent data. To obtain the asymptotic properties we consider some concentration hypotheses acting on the distribution of the conditional functional variable

Seismicity and Seismotectonics of the Mitidja Basin Southern Edge (Tell Atlas, Algeria): Case Study of the Hammam Melouane Region

Many moderate to large historical and instrumental events have been documented in the Mitidja basin, affecting in particular the southern edge of the active Quaternary Mitidja basin, which is composed of nearly NE–SW-trending fault system. The earthquake catalogue reports that the Hammam Melouane region has experienced several moderate seismic events such as those of 8 February 1937 (I0 = V), 20 July 1975 (I0 = V–VI), 29 September 1981 (I0 = V) and 17 December 1986 (I0 = V). Recently, between 2013 and 2016, this area experienced three moderate earthquakes with a series of aftershocks. In this paper, we present an analysis of the seismic sequences that occurred in the Hammam Melouane Geothermal Spring area on 17 July 2013 (ML 4.9), 23 December 2014 (ML 5.3) and 10 February 2016 (Mw 4.8), about 3–7 km apart, at hypocentral depths of 11.5 km, 19.0 km and 18.0 km, respec- tively, with centroid depth of 5 km for the first main shock. Ninety- seven events with local magnitude ranging between ML 0.9 and ML 5.3 were recorded and analyzed. The series of aftershocks display two clusters, trending N–S for the 2013 event and NE–SW for the 2014 event, located at shallow depths of 1.5–14 km and 18–28 km, respectively. The event distribution shows variability in faulting, combining strike-slip and thrust focal mechanisms of the main events, leading us to hypothesize a simultaneous interaction between two geological active structures represented by the * N–S- to NE–SW-trending faults belonging to the southern Mitidja fault system. On one hand, the computed DCFF indeed supports and strengthens the fault interaction model between the three events. On the other hand, the analysis of the post-seismic stress distribution caused by fluid circulation reveals that the 2013 and 2014 events seem to have caused a poroelastic stress relaxation and thus influenced the occurrence of the 2016 main shock.The National Earthquake Engineering Research Centre (CGS, Algiers), the Centre de Recherche en Astronomie, Astrophysique et Geophysique (CRAAG, Algiers) and the Instituto de Ciências da Terra (ICT, Univ. of Évora—UID/GEO/04683/2020, Portugal)

The Beni Haoua, Algeria, Mw 4.9 earthquake: source parameters, engineering, and seismotectonic implications

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