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Academic Journal of Applied Mathematical Sciences

Online ISSN: 2415-2188
Print ISSN: 2415-5225

Quarterly Published (4 Issues Per Year)

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Volume 6 Number 5 May 2020

Hydromagnetic Stability Analysis of a Partially Ionized Medium

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Authors: Pardeep Kumar ; Hari Mohan
Pages: 53-57
DOI: doi.org/10.32861/ajams.65.53.57
Abstract

Rayleigh-Taylor instability of a composite medium with variable density and viscosity is considered by taking into account the frictional effect of collisions of ionized with neutral atoms in the presence of a variable horizontal magnetic field. The criteria determining stability and instability are independent of the effects of viscosity and collisional effects. The magnetic field stabilizes the system which is otherwise unstable in the absence of the magnetic field. The viscosity of the medium has stabilizing as well as destabilizing effect on the growth rates. The collisional frequency has stabilizing effect on the growth rates, but has also destabilizing effect in some region.

A Generalized Transmuted Moment Exponential Distribution: Properties and Application

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Authors: Amal S. Hassan ; Ibrahim B. Abdul-Moniem ; Khater A. E. Gad
Pages: 41-52
DOI: doi.org/10.32861/ajams.65.41.52
Abstract

This paper introduces a new generalization of moment exponential (or length biased) distribution. The new model is referred to as generalized transmuted moment exponential distribution. This model contains some new existing distributions. Structural properties of the suggested distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Rényi entropy are derived. Maximum likelihood estimation is employed to obtain the parameter estimators of the new distribution. We illustrate the importance of the new model by means of three applications to real data sets.