Asian Research Journal of Mathematics 2021-07-30T11:10:41+00:00 Asian Research Journal of Mathematics Open Journal Systems <p style="text-align: justify;"><strong>Asian Research Journal of Mathematics (ISSN: 2456-477X)</strong> aims to publish high-quality papers (<a href="/index.php/ARJOM/general-guideline-for-authors">Click here for Types of paper</a>) in all areas of ‘Mathematics and Computer Science’. By not excluding papers on the basis of novelty, this journal facilitates the research and wishes to publish papers as long as they are technically correct and scientifically motivated. The journal also encourages the submission of useful reports of negative results. This is a quality controlled, OPEN peer-reviewed, open access INTERNATIONAL journal.</p> Regression-type Imputation Class of Estimators using Auxiliary Attributes 2021-07-13T11:10:01+00:00 A. Audu O. O. Ishaq A. Abubakar K. A. Akintola U. Isah A. Rashida S. Muhammed <p>Several imputation schemes and estimators have been proposed by different authors in sample survey. However, these estimators utilized quantitative information of auxiliary characters. In this study, some imputation methods were studied using qualitative information of auxiliary characters and two new imputation schemes using auxiliary attribute have been suggested. The mean squared errors of the proposed estimators were derived up to first order approximation using Taylor series approach. Numerical illustrations with two populations were conducted and the results revealed that the proposed estimator is more efficient.</p> 2021-07-08T09:50:07+00:00 ##submission.copyrightStatement## More Connections on Valuated Binary Tree and Their Applications in Factoring Odd Integers 2021-07-13T11:39:57+00:00 Xingbo Wang Yuequan Jin <p>This paper continues investigating connections on a valuated binary tree. By defining three types of new connections, the paper derives several new properties for the new connections, and proves that odd integers matching to the new cases can be easily and rapidly factorized. Proofs are presented for the new properties and conclusions with detail mathematical reasoning and numerical experiments are made with Maple software to demonstrate the fast factorization by factoring big odd composite integers that are of the length from 101 to 105 decimal digits. Source codes of Maple programs are also list for readers to test the experiments.</p> 2021-07-10T00:00:00+00:00 ##submission.copyrightStatement## Pseudo-Lindley Family of Distributions and its Properties 2021-07-19T04:58:24+00:00 U. U. Uwadi E. E. Nwezza <p>In this study, we proposed a family of distribution called the Pseudo Lindley family of distributions. The limiting behaviors of the density and hazard rate function of the new family are examined. Statistical properties of the proposed family of distributions derived include quantile function, moments, order statistics, and Renyi’s entropy. The maximum likelihood method was employed in obtaining the parameter estimates of the Pseudo Lindley family of distribution. Bivariate extension of the proposed family is discussed. Some special members of the family are obtained. The shape of the density function of special members could be unimodal, bathtub shaped, increasing and decreasing.&nbsp;</p> 2021-07-19T00:00:00+00:00 ##submission.copyrightStatement## Analytic Inversion of Closed form Solutions of the Satellite’s J2 Problem 2021-07-21T12:56:13+00:00 Alessio Bocci Giovanni Mingari Scarpello <p>This report provides some closed form solutions -and their inversion- to a satellite’s bounded motion on the equatorial plane of a spheroidal attractor (planet) considering the J2 spherical zonal harmonic. The equatorial track of satellite motion- assuming the co-latitude φ fixed at π/2- is investigated: the relevant time laws and trajectories are evaluated as combinations of elliptic integrals of first, second, third kind and Jacobi elliptic functions. The new feature of this report is: from the inverse t = t(c) we get the period T of some functions c(t) of mechanical interest and then we construct the relevant c(t) expansion in Fourier series, in such a way performing the inversion. Such approach-which led to new formulations for time laws of a J2 problem- is benchmarked by applying it to the basic case of keplerian motion, finding again the classic results through our different analytic path.</p> 2021-07-21T00:00:00+00:00 ##submission.copyrightStatement## A Continuous Poisson-Rayleigh Distribution: Its Properties and Applications 2021-07-24T11:44:11+00:00 Abraham Iorkaa Asongo Innocent Boyle Eraikhuemen Emmanuel Remi Omoboriowo Isa Abubakar Ibrahim <p>This article proposed a Poisson based continuous probability distribution called Poisson-Rayleigh distribution. Some properties of the new distribution such as quantile and reliability functions and other useful measures were obtained. The model parameters were estimated using the method of maximum likelihood. The usefulness of the new distribution was proven empirically using real life datasets.</p> 2021-07-24T00:00:00+00:00 ##submission.copyrightStatement## On the Stability Analysis of Linear Unperturbed Non-integer Differential Systems 2021-07-26T05:34:54+00:00 Ubong D. Akpan <p>In this paper, the stability of non-integer differential system is studied using Riemann-Liouville and Caputo derivatives. The stability notion for determining the stability/asymptotic stability or otherwise fractional differential system is given. Example is provided to demonstrate the effectiveness of the result.</p> 2021-07-26T00:00:00+00:00 ##submission.copyrightStatement## The Influence of Circulatory Forces on the Stability of Undamped Gyroscopic Systems 2021-07-30T11:10:41+00:00 Ubong D. Akpan <p>In this paper, the effects of circulatory forces on undamped gyroscopic systems have been studied. The stability or otherwise of arising MGKN systems have been analysed using eigenvalue method and Lyapunov method. Bottema-Lakhadanov-Karapetyan theorem is also employed to further analyze the systems. Examples are given to illustrate the use of these methods in determining the stability or otherwise of undamped gyroscopic circulatory systems.</p> 2021-07-30T00:00:00+00:00 ##submission.copyrightStatement##