Further Geometric Properties of a Subclass of Univalent Functions

This present paper aims to investigate further, certain characterization properties for a subclass of univalent function defined by a generalized differential operator. In particular, necessary and sufficient conditions for the function to belong to the subclass is established. Additionally, we provide the 𝛅-neighborhood properties for the function by making use of the necessary and sufficient conditions. The results obtained are new geometric properties for the subclass

Chord Newton’s Method for Solving Fuzzy Nonlinear Equations

In this paper, we present a new approach for solving fuzzy nonlinear equations. Our approach requires to compute the Jacobian matrix once throughout the iterations unlike some Newton’s-like methods which needs to compute the Jacobian matrix in every iterations. The fuzzy coefficients are presented in parametric form. Numerical results on well-known benchmarks fuzzy nonlinear equations are reported to authenticate the effectiveness and efficiency of the approach.

Penalty of model misspecification in time series dominated with trend

Model specification is consequential in mathematical science and statistics in particular. This work seeks to ascertain the consequences of model mis-specification in the analysis of a time series dominated by trend. It further discusses the statistical properties of various types of trend as well as when they are combine with AR (1) and MA (1) process. It recommends the use of spectrum analysis in detection of trend type in a given series.Illustrations were carried out using simulated series. The results from the simulated series was in harmony with the theoretical results.

On a Subclass of Multivalent Functions with Bounded Positive Real Part

In the present paper, by introducing a new subclass of multivalent functions with respect to - symmetric points, we have obtained the integral representations and conditions for starlikeness using differential subordination.

Weibull reliability estimation for (2+1) cascade model

In this paper endeavors to submit reliability (R) of a special (2+1) stress-strength Cascade model for Weibull distribution. Expressions for the model reliability are obtained when the strength and stress are weibull random variables with known shape and unknown scale parameters. Four different methods (ML, Mo, LS and WLS) are used to estimate the reliability and make a comparison between them in simulation study with program made by MATLAB 2016 using criterion MSE, where it found that the best estimator between the four estimators was ML.

Review on investigating the possibility of local hidden variable theories-quantum teleportation

The core of the paper was to investigate the possibility of local hidden variable theory and its application in quantum teleportation. We reviewed literature on the Bell's inequality which is necessary for quantum teleportation. Quantum teleportation utilises a single-particle entangled state which can be successfully achieved by the application of the locality assumption which leads to Bell's inequality. A violation of the Bell's inequality signifies the nonlocal nature of a single particle useful for quantum teleportation.

Globally exponential synchronization criterion of chaot-ic oscillators using active control

This research paper focuses the globally exponential synchronization between two identical and two nonidentical chaotic oscillators. With the help of Lyapunov direct method and using the active control technique, suitable algebraic conditions are obtained analytically that establish the globally exponential synchronization. The proposed globally exponential synchronization criterion is more general and much less conservative than the previously published works. A comparison, based upon the synchronization speed, cost and quality have been performed with our study of the previously published results. The effect of unknown external disturbances has also been discussed. Numerical simulation results are presented to illustrate the performance and efficiency of this study.

Missing observations: The loss in relative A-, D- and G-efficiency

The loss in Relative A-, D- and G-efficiency due to missing single or multiple observations is studied using cuboidal designs associated with response models. Higher losses in Relative A- and D-efficiencies are attributed to missing vertex points. The absence of one or two center points does not affect any of Relative A-, D- and G-efficiency, but when its absence is in combination with either a vertex or axial point, there is some negative effect on the design efficiency resulting in some percentage loss in Relative efficiency. The loss in relative efficiency is higher when the missing center point is in combination with missing vertex point. Losses in Relative A- and D-efficiencies are generally higher than losses in Relative G-efficiency. In fact, Relative G-efficiency is mildly affected by the missing vertex or axial point or both.

The Kumaraswamy compound Rayleigh distribution : properties and estimation

We introduce a new four parameter continuous model, called the Kumaraswamy compound Rayleigh (KwCR) distribution that extends the compound Rayleigh distribution. We study some mathematical properties of this distribution such as; mean, variance, coefficient of variation, quantile function, median, ordinary and incomplete moments, skewness, kurtosis, moment and probability generating functions, reliability analysis, Lorenz, Bonferroni and Zenga curves, Rényi of entropy, order statistics and record statistics. We consider the methods of moments and maximum likelihood for estimating the model parameters.

Derivations of second type of algebra of second class filiform Leibniz algebras of dimension derivation (n+2)

In this article, the derivations of second type of algebra from the second class filiform Leibniz algebras of dimension derivation (n+2) is discussed. From the description of the derivations. It is found that the basis of the space Der(Ln(b)) of the algebra.