Volume 14, Issue 1 (2018) | Journal of Mathematics and Statistics

A VAR Model for Forecasting Land Market Value in USA

Lei Wang — 2018-01-01

Journal of Mathematics and Statistics, Published online: 1 January 2018; doi:10.3844/jmssp.2018.1.6

Forecasts of the future tendency of economic variables such as GDP, inflation rate and unemployment rate, arise many interests from business and government. Also, Modeling the land market at the natio...

Applications of q-Umbral Calculus to Modified Apostol Type q-Bernoulli Polynomials

Mehmet Acikgoz — 2018-01-04

Journal of Mathematics and Statistics, Published online: 4 January 2018; doi:10.3844/jmssp.2018.7.15

This article aims to identify the generating function of modified Apostol type q-Bernoulli polynomials. With the aid of this generating function, some properties of modified Apostol type q-Bernoulli p...

Prediction Intervals for Future Observations Based on Samples of Random Sizes

Mohammad Z. Raqab — 2018-01-02

Journal of Mathematics and Statistics, Published online: 2 January 2018; doi:10.3844/jmssp.2018.16.28

On the basis of failure times of an informative sample (X-sample) of random size M of iid continuous random variables, we consider the prediction problem of failure times of another independent future...

A Review of the Recent Advances Made in the Black-Scholes Models and Respective Solutions Methods

Yasir Hamad Al Saedi — 2018-01-08

Journal of Mathematics and Statistics, Published online: 8 January 2018; doi:10.3844/jmssp.2018.29.39

The Black-Scholes model has been a major advance in finance over a period of time; this paper examines this model in some detail, in terms of the latest developments in both analytical and numerical s...

Rental Estimation of Reverse Mortgages (RM): The Case of Home as Rental in Retirement

Gurudeo Anand Tularam — 2018-01-08

Journal of Mathematics and Statistics, Published online: 8 January 2018; doi:10.3844/jmssp.2018.40.51

The aim of this paper was to compare the rental market conditions in retirement with an RM contract that involves a retiree’s home and its valuation. It is noted that the current rental market condi...

A Note on a New Method of Investigation of Solutions of Boundary Value Problems for the Elliptic Type Equations of the First Order

Nihan A. Aliyev — 2018-01-17

Journal of Mathematics and Statistics, Published online: 17 January 2018; doi:10.3844/jmssp.2018.52.55

The paper deals with investigation of the solutions of the boundary value problem for the Cauchy-Riemann equation on the curvelinear strip in the real plane. Here the boundary conditions are in the sp...

Coupled Pettis-Hadamard Fractional Differential Systems with Retarded and Advanced Arguments

Saïd Abbas — 2018-02-10

Journal of Mathematics and Statistics, Published online: 10 February 2018; doi:10.3844/jmssp.2018.56.63

In this study, we present some results concerning the existence of weak solutions for some coupled systems of Hadamard fractional differential equations involving the both retarded and advanced argume...

Dynamics and Stability of q-Fractional Order Pantograph Equations With Nonlocal Condition

Vivek Devaraj — 2018-02-10

Journal of Mathematics and Statistics, Published online: 10 February 2018; doi:10.3844/jmssp.2018.64.71

This paper deals with some existence and Ulam-Hyers-q-Mittag-Leffler stability results for q-fractional order pantograph equation. An application is made of a Darbo's fixed point theorem for the exist...

The Rough Intuitionistic Fuzzy Zweier Lacunary Ideal Convergence of Triple Sequence Spaces

Ayhan Esi — 2018-05-31

Journal of Mathematics and Statistics, Published online: 31 May 2018; doi:10.3844/jmssp.2018.72.78

New Families of Distributions for Modeling Bivariate Data, with Applications

Haroon Barakat — 2018-04-03

Journal of Mathematics and Statistics, Published online: 3 April 2018; doi:10.3844/jmssp.2018.79.87

In this study we introduce a new method of adding two shape parameters to any baseline bivariate distribution function (df) to get a more flexible family of bivariate df's. Through the additional para...

q-Deformation of Transonic Gas Equation

Sami H. Altoum — 2018-04-25

Journal of Mathematics and Statistics, Published online: 25 April 2018; doi:10.3844/jmssp.2018.88.93

In this study, the transonic gas equation will be considered. For q∈(0,1), q-deformation of transonic gas equation (q-transonic) are studied, we use q- derivative (or Jackson derivative) to solve tr...

A Comparative Study on Barrier Option Pricing using Antithetic and Quasi Monte-Carlo Simulations

Nneka Umeorah — 2018-05-09

Journal of Mathematics and Statistics, Published online: 9 May 2018; doi:10.3844/jmssp.2018.94.106

Monte-Carlo simulations have been utilized greatly in the pricing of derivative securities. Over the years, several variance reduction techniques have been developed to curb the instability, as well a...

Quantile Regression Estimation Using Non-Crossing Constraints

Ilaria Lucrezia Amerise — 2018-05-15

Journal of Mathematics and Statistics, Published online: 15 May 2018; doi:10.3844/jmssp.2018.107.118

In this article we are concerned with a collection of multiple linear regressions that enable the researcher to gain an impression of the entire conditional distribution of a response variable given a...

The Linear and Quadratic Nature of Sequences for Determining Prime Numbers by Elimination of Composites

Jonathan M. Dugas — 2018-05-16

Journal of Mathematics and Statistics, Published online: 16 May 2018; doi:10.3844/jmssp.2018.119.128

A previously derived set of sequences for generating prime numbers is modified by various algebraic and trigonometric manipulations. The modified sequences are then used to more efficiently generate p...

On Generalized Some (p, q)-Special Polynomials

Ugur Duran — 2018-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2018; doi:10.3844/jmssp.2018.129.140

In this study, we introduce a new class of generalized (p, q)-Bernoulli, (p, q)-Euler and (p, q)-Genocchi polynomials and investigate their some properties. We derive (p, q)-generalizations of some fa...

Comparison of CART and CART ARCING to Classify Household Food Security of Tuberculosis Patients in Surabaya

Iis Dewi Ratih — 2018-05-28

Journal of Mathematics and Statistics, Published online: 28 May 2018; doi:10.3844/jmssp.2018.141.150

Indonesia shall fulfill the residents need of food by its heterogeneous and big resource of food. But in fact, Indonesian food security is still far from expectation because of the maintenance of food...

A Geometric Generalization of the Planar Gale-Nikaidô Theorem

E. Cabral Balreira — 2018-05-30

Journal of Mathematics and Statistics, Published online: 30 May 2018; doi:10.3844/jmssp.2018.151.155

The Gale-Nikaidô Theorem establishes global injectivity of maps defined over rectangular regions provided the Jacobian matrix is a P-matrix. We provide a purely geometric generalization of this resul...

Log-Moment Estimators for the Generalized Linnik and Mittag-Leffler Distributions with Applications to Financial Modeling

Dexter O. Cahoy — 2018-08-01

Journal of Mathematics and Statistics, Published online: 1 August 2018; doi:10.3844/jmssp.2018.156.166

We propose formal estimation procedures for the parameters of the generalized, heavy-tailed three-parameter Linnik gL(α, µ, δ) and Mittag-Leffler gML(α, µ, δ) distributions. The paper also aims ...

On Odds Generalized Exponential-Power Lomax Distribution

Salwa Mahmoud Assar — 2018-06-12

Journal of Mathematics and Statistics, Published online: 12 June 2018; doi:10.3844/jmssp.2018.167.174

A new distribution, called odds generalized exponential-power Lomax distribution is suggested for modeling lifetime data. Some structural properties of the new distribution including; quantiles, Rény...

On Gröbner Bases and Their Uses in Solving System of Polynomial Equations and Graph Coloring

Haridas Kumar Das — 2018-06-27

Journal of Mathematics and Statistics, Published online: 27 June 2018; doi:10.3844/jmssp.2018.175.182

This paper is based on the analytic and computational solution procedures of Gröbner basis and its applications. We show the behavior of the ideals generated by polynomials from a polynomial ring. We...

Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type

Lucas H. Koudahoun — 2018-07-05

Journal of Mathematics and Statistics, Published online: 5 July 2018; doi:10.3844/jmssp.2018.183.192

Authors introduce a generalized singular differential equation of quadratic Liénard type for study of exact classical and quantum mechanical solutions. The equation is shown to exhibit periodic solut...

On the General Solution to the Bratu and Generalized Bratu Equations

Lucas Hervé Koudahoun — 2018-07-14

Journal of Mathematics and Statistics, Published online: 14 July 2018; doi:10.3844/jmssp.2018.193.200

This work shows that the Bratu equation belongs to a general class of Liénard-type equations for which the general solution may be exactly and explicitly computed within the framework of the generali...

On the Comparison of Methods of Estimating Missing Values in Rectangular Lattice Designs

Abimibola V. Oladugba — 2018-10-11

Journal of Mathematics and Statistics, Published online: 11 October 2018; doi:10.3844/jmssp.2018.201.208

Missing values occur in almost all research which lead to ambiguity in data analysis. It becomes necessary that appropriate consideration is made in order to provide an efficient and valid analysis. R...

Formalizing Probability Concepts in a Type Theory

Farida Kachapova — 2018-11-12

Journal of Mathematics and Statistics, Published online: 12 November 2018; doi:10.3844/jmssp.2018.209.218

In this paper we formalize some fundamental concepts of probability theory such as the axiomatic definition of probability space, random variables and their characteristics, in the Calculus of Inducti...

Bayesian Approach to the Estimation of a Poisson Mean with Application to NBA Three Point Attempts

Patricia Pepple Williamson — 2018-11-12

Journal of Mathematics and Statistics, Published online: 12 November 2018; doi:10.3844/jmssp.2018.219.231

Bayesian Credible Intervals are proposed for a Poisson mean. These intervals are compared to five classical confidence intervals found in the literature. A simulation study is performed to compare the...

Theory of Exact Trigonometric Periodic Solutions to Quadratic Liénard Type Equations

Jean Akande — 2018-10-29

Journal of Mathematics and Statistics, Published online: 29 October 2018; doi:10.3844/jmssp.2018.232.240

A mathematical theory is developed through generalized Sundman transformation to show the existence of classes of quadratic Liénard type equations which admit exact and explicit general trigonometric...

Solutions of the Duffing and Painlevé-Gambier Equations by Generalized Sundman Transformation

Damien Kolawolé Kêgnidé Adjaï — 2018-11-08

Journal of Mathematics and Statistics, Published online: 8 November 2018; doi:10.3844/jmssp.2018.241.252

A new approach using the generalized Sundman transformation to solve explicitly and exactly in a straightforward manner the cubic elliptic Duffing equation is proposed in this study. The method has th...

Advanced Multivariate Time Series Forecasting Models

Miss Lei Wang — 2018-12-21

Journal of Mathematics and Statistics, Published online: 21 December 2018; doi:10.3844/jmssp.2018.253.260

In this study, the focus is to collect and summarize various advanced forecasting models for multivariate time series dataset. We have discussed about the inherent forecasting strengths and weaknesses...

A New Extension of the Burr Type XII Distribution

Mohamed K.A. Refaie — 2019-01-03

Journal of Mathematics and Statistics, Published online: 3 January 2019; doi:10.3844/jmssp.2018.261.274

In this study, a new Burr XII distribution is defined and studied. Various structural mathematical properties of the proposed model are investigated. The maximum likelihood method is used to estimate ...

Statistical Modeling of Temperature Extremes Behaviour in Ghana

Twumasi-Ankrah Sampson — 2019-01-10

Journal of Mathematics and Statistics, Published online: 10 January 2019; doi:10.3844/jmssp.2018.275.284

This paper focuses on modeling the extreme maximum temperature in Ghana using the extreme value theory. This is to inform decision-makers to help them plan appropriate risk mitigating measures to redu...