Earthline Journal of Mathematical Sciences

Inverse Power Akash Probability Distribution with Applications

2020-12-10T15:51:45+00:00

This paper introduces an inverse power Akash distribution as a generalization of the Akash distribution to provide better fits than the Akash distribution and some of its known extensions. The fundamental properties of the proposed distribution such as the shapes of the distribution, moments, mean, variance, coefficient of variation, skewness, kurtosis, moment generating function, quantile function, Rényi entropy, stochastic ordering and the distribution of order statistics have been derived. The proposed distribution is observed to be a heavy-tailed distribution and can also be used to model data with upside-down bathtub shape for its hazard rate function. The maximum likelihood estimators of the unknown parameters of the proposed distribution have been obtained. Two numerical examples are given to demonstrate the applicability of the proposed distribution and for the two real data sets, the proposed distribution is found to be superior in its ability to sufficiently model heavy-tailed data than Akash, inverse Akash and power Akash distributions respectively.

A New Generalization of the Inverse Distributions: Properties and Applications

2020-12-13T15:26:57+00:00

In this paper the generalized inverse distribution is defined. Some properties and applications of the generalized inverse distribution are studied in some detail. Characterization theorems generalizing the new family in terms of the hazard function are obtained. Recommendation for further study concludes the paper.

The Weibull-exponential {Rayleigh} Distribution: Theory and Applications

2021-01-04T15:32:55+00:00

This study introduces a new distribution in the family of generalized exponential distributions generated using the transformed-transformer method. Some properties of the distribution are presented. The new distribution has three parameters and they are estimated numerically using the BGFS iterative method implemented in R software. Two real sets of data are adopted to demonstrate the flexibility and potential applications of the new distribution.

Subclass of p-valent Function with Negative Coefficients Applying Generalized Al-Oboudi Differential Operator

2021-01-11T16:28:47+00:00

In this paper we introduce a new subclass $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ of $p$-valent functions with negative coefficient defined by Hadamard product associated with a generalized differential operator. Radii of close-to-convexity, starlikeness and convexity of the class $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ are obtained. Also, distortion theorem, growth theorem and coefficient inequalities are established.

Triangular Scheme Revisited in the Light of n-permutable Categories

2021-01-14T15:25:39+00:00

The first diagrammatic scheme was developed by H.P. Gumm under the name Shifting Lemma in case to characterize congruence modularity. A diagrammatic scheme is developed for the generalized semi distributive law in Mal'tsev categories. In this paper we study this diagrammatic scheme in the context of $n$-permutable, and of Mal'tsev categories in particular. Several remarks concerning the Triangular scheme case are included.

Harmonic Mean Inequalities for Hyperbolic Functions

2021-01-17T15:28:38+00:00

Inequalities involving hyperbolic functions have been the subject of intense discussion in recent times. In this work, we establish harmonic mean inequalities for these functions. This complements the results known in the literature. The techniques adopted in proving our results are analytical in nature.

Explicit Euclidean Norm, Eigenvalues, Spectral Norm and Determinant of Circulant Matrix with the Generalized Tribonacci Numbers

2021-02-12T16:36:41+00:00

In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) numbers. We also present the sum of entries, the maximum column sum matrix norm and the maximum row sum matrix norm of this circulant matrix. Moreover, we give some bounds for the spectral norms of Kronecker and Hadamard products of circulant matrices of (r, s, t) and Lucas (r, s, t) numbers.

Coupled Anti Fuzzy Subrings Using t-Conorms

2021-02-16T14:28:33+00:00

The aim of this paper is to introduce the concept of coupled anti fuzzy subrings by using t-conorm C. By using t-conorm C; we consider the relationship between coupled subrings and coupled anti fuzzy subrings and we prove that the intersection of two coupled anti fuzzy subrings are also coupled anti fuzzy subring. Also we obtain some results for coupled anti fuzzy subrings under the ring homomorphisms. Finally, we show that the quotient of coupled anti fuzzy subring is also a coupled anti fuzzy subring with respect to t-conorm C. Our work is inspired by [1].

A New Conjugate Gradient Method with Sufficient Descent Property

2021-02-24T16:25:52+00:00

In this paper, by linearly combining the numerator and denominator terms of the Dai-Liao (DL) and Bamigbola-Ali-Nwaeze (BAN) conjugate gradient methods (CGMs), a general form of DL-BAN method has been proposed. From this general form, a new hybrid CGM, which was found to possess a sufficient descent property is generated. Numerical experiment was carried out on the new CGM in comparison with four existing CGMs, using some set of large scale unconstrained optimization problems. The result showed a superior performance of new method over majority of the existing methods.

Anticommutativity and n-schemes

2021-02-26T12:29:27+00:00

The purpose of this paper is two-fold. A first and more concrete aim is to give new characterizations of equivalence distributive Goursat categories (which extend 3-permutable varieties) through variations of the little Pappian Theorem involving reflexive and positive relations. A second and more abstract aim is to show that every finitely complete category E satisfying the n-scheme is locally anticommutative.

Gull Alpha Power of the Ampadu-Type: Properties and Applications

2021-02-26T16:55:35+00:00

This paper introduces a new statistical distribution called Gull Alpha Power of the Ampadu Type (GAPA-G for short). The new distribution is inspired by the Gull Alpha Power of [1] and the Ampadu-G of [2]. Some properties with application are investigated.