by Deborah Olufunmilayo Makinde
Original Research
The aim of this paper is to obtain coefficient estimates of the integral operator of the form: 
and 
using the relationship between starlike and convex functions and give its implication to disease control. Also, we obtain the growth and distortion theorems for the operator.
American Journal of Applied Mathematics and Statistics. 2019, 7(3), 115-119. DOI: 10.12691/ajams-7-3-6
Pub. Date: May 13, 2019
5181 Views1136 Downloads
by Binu K P, Vinod S and K Vishnu Namboothiri
Original Research
Similar to Fibonacci sequence and Lucas sequences that are recursively defined we define an integer sequence using the Euler totient function ϕand study some of its properties. We also verify that the sequence we have defined has some properties similar to Fibonacci sequence, but even then it is not a Lucas sequence.
American Journal of Applied Mathematics and Statistics. 2019, 7(3), 112-114. DOI: 10.12691/ajams-7-3-5
Pub. Date: May 08, 2019
3065 Views1206 Downloads
by Onyegbuchulem B.O., Nwakuya M.T, Nwabueze J.C and Otu Archibong Otu
Original Research
Quantile Regression (QR) performed better than Ordinary Least Square (OLS) when the Data is skewed. Its best result can be achieved when the Data is transformed. Quantreg package of R software was used to illustrate the various power transformation fitness for quantile regression model. The analysis shows that the best result was obtained from the square root of y transformation with an average error term 
of 0.9539, -0.0494, 0.0238, -0.5309 and -0.7544 for 10th, 25th, 50th, 75th and 90th quantile respectively. From the results obtained, it shows that model transformation can greatly improve the result of quantile regression model.
American Journal of Applied Mathematics and Statistics. 2019, 7(3), 105-111. DOI: 10.12691/ajams-7-3-4
Pub. Date: May 04, 2019
9298 Views1648 Downloads
by Meenaxi, Dalip Singh and Narender Singh
Original Research
In this paper we present Life Expectancy and Availability of a patient suffering from Kidney disease, where the deteriorating rates follow the Weibull distribution. In our paper, we present modelling and estimate the life expectancy/mean time to absorbtion and availability of the system having four successive stages of deteriorating system. Explicit expressions for the availability, mean sojourn time and life expectancy/mean time to absorbtion are obtained consequently. Graphs of availability and mean time to absorbtion are also plotted to dispose the nature with respect to time for distinct values of deteriorating rates.
American Journal of Applied Mathematics and Statistics. 2019, 7(3), 101-104. DOI: 10.12691/ajams-7-3-3
Pub. Date: April 18, 2019
7618 Views1179 Downloads
by Mollalgn Haile Takele and B. Krishna Reddy
Original Research
In this paper, authors constructed Mann type of iterative method for the finite family of multi valued, nonself and nonexpansive mappings in a uniformly convex hyperbolic space. Authors proved strong convergence theorems of the iterative method, which approximates a common fixed point for the family single valued and multi valued nonexpansive mappings in a complete uniformly convex hyperbolic space which is more general than a complete CAT(0) space and a uniformly convex Banach space. The results in this work extended many results in the literature.
American Journal of Applied Mathematics and Statistics. 2019, 7(3), 93-100. DOI: 10.12691/ajams-7-3-2
Pub. Date: April 10, 2019
6066 Views1715 Downloads
by Joginder Singh Dhiman and Gurdeep Singh
Original Research
This Paper deals with the Stability of a micropolar fluid layer heated from below in the presence of uniform magnetic field. The basic hydrodynamic equations of magneto-microploar fluid layer heated from below are modified by using Boussinesq approximation and then the linearized perturbation equations are converted into a characteristic value problem with the help of Normal mode analysis. The expressions for Rayleigh number are obtained by using the variational principle. The effect of magnetic field and micropolar parameter on the Rayleigh numbers are discussed andupper bounds of critical Rayleigh number for all type of boundaries are obtained by using variational method.
American Journal of Applied Mathematics and Statistics. 2019, 7(3), 86-92. DOI: 10.12691/ajams-7-3-1
Pub. Date: April 26, 2019
6787 Views1724 Downloads1 Likes