Earthline Journal of Mathematical Sciences <p style="text-align: justify;">The Earthline Journal of Mathematical Sciences (e-ISSN: 2581-8147) is a peer-reviewed international journal devoted to publishing original research papers containing substantial contributions in any direction of Pure and Applied Mathematics, Theoretical and Applied Statistics, Theoretical Computer Science, Mathematical Physics, Mathematical Chemistry, Mathematical Modelling, Mathematical Biology. Applications of Mathematics in Finance and Economics are also welcome.</p> en-US <p><img src=""><br>This work is licensed under a&nbsp;<a href="" rel="license">Creative Commons Attribution 4.0 International License</a>.</p> (Fabiola Malowney) (K. Jhansi Rani) OJS 60 Inverse Power Akash Probability Distribution with Applications <p>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.</p> Samuel U. Enogwe, Happiness O. Obiora-Ilouno, Chrisogonus K. Onyekwere Copyright (c) Thu, 10 Dec 2020 00:00:00 +0000 A New Generalization of the Inverse Distributions: Properties and Applications <p>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.</p> Clement Boateng Ampadu Copyright (c) Sun, 13 Dec 2020 00:00:00 +0000 The Weibull-exponential {Rayleigh} Distribution: Theory and Applications <p>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.</p> G. C. Ibeh, E. J. Ekpenyoung, K. Anyiam, C. John Copyright (c) Mon, 04 Jan 2021 00:00:00 +0000 Subclass of p-valent Function with Negative Coefficients Applying Generalized Al-Oboudi Differential Operator <p>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.</p> Timilehin G. Shaba, Abd'gafar T. Tiamiyu, Ismaila O. Ibrahim, Abdullahi A. Ibrahim Copyright (c) Mon, 11 Jan 2021 00:00:00 +0000 Triangular Scheme Revisited in the Light of n-permutable Categories <p>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.</p> Brice Réné Amougou Mbarga Copyright (c) Thu, 14 Jan 2021 15:25:39 +0000 Harmonic Mean Inequalities for Hyperbolic Functions <p>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.</p> Kwara Nantomah Copyright (c) Sun, 17 Jan 2021 00:00:00 +0000