Volume 16, Issue 1 (2020) | Journal of Mathematics and Statistics

Tilted Beta Binomial Linear Regression Model: A Bayesian Approach

Edilberto Cepeda-Cuervo — 2020-01-05

Journal of Mathematics and Statistics, Published online: 5 January 2020; doi:10.3844/jmssp.2020.1.8

This paper proposes new linear regression models to deal with overdispersed binomial datasets. These new models, called tilted beta binomial regression models, are defined from the tilted beta binomia...

Canonical Correlation-based Tests for the Agreement of Sensory Panelists

Marcela C Rocha — 2020-01-11

Journal of Mathematics and Statistics, Published online: 11 January 2020; doi:10.3844/jmssp.2020.9.19

The reliability of the results of sensory analysis is directly linked to the performance of panel of assessors what, in general, means the ability of judges to identify small differences between produ...

The q-Riccati Algebra

Amna Hasan — 2020-01-14

Journal of Mathematics and Statistics, Published online: 14 January 2020; doi:10.3844/jmssp.2020.20.23

For q∈(0, 1), we introduce the q-Riccati Lie algebra. Using the q-derivative (or Jackson derivative), we give a representation of this Lie algebra.

Fast Approach to Factorize Odd Integers with Special Divisors

Xingbo Wang — 2020-01-27

Journal of Mathematics and Statistics, Published online: 27 January 2020; doi:10.3844/jmssp.2020.24.34

The paper proves that an odd composite integer N can be factorized in O((log2N)4) bit operations if N = pq, the divisor q is of the form 2αu +1 or 2αu-1 with u being an odd integer and α being a p...

Passive Approach for Fault Tolerant Controller Using Hybrid Controller Structure for Effective Level Control of Conical Tank System

Himanshukumar R. Patel — 2020-02-07

Journal of Mathematics and Statistics, Published online: 7 February 2020; doi:10.3844/jmssp.2020.35.46

The Article Propose An Efficacious Fault Tolerant Control (FTC) Strategy Using The Hybrid Controller Structure To Establish Stable And Tracking Control With Two Faults Constrain In The Area Of Two Tan...

Common Fixed Points of Generalized Cyclic C Class Ψ-ɸ-Λ Weak Nonexpansive Mappings

Sahar Mohamed Ali Abou Bakr — 2020-03-14

Journal of Mathematics and Statistics, Published online: 14 March 2020; doi:10.3844/jmssp.2020.47.53

This paper shows that if S and T are two joint generalized cyclic F-Ψ-ɸ-Λ weak nonexpansive type mappings, then they have only one common fixed point. In particular, every generalized cyclic C clas...

A Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line Search

Awad Abdelrahman — 2020-05-14

Journal of Mathematics and Statistics, Published online: 14 May 2020; doi:10.3844/jmssp.2020.54.61

Nonlinear Conjugate Gradient (CG) methods are extensively used for solving large-scale unconstrained optimization problems. Numerous of studies constructed scales and modifications have been conducted...

A Permutation Test for Comparing Two Correlated Receiver Operating Characteristic Curves

Okeh Uchechukwu Marius — 2020-05-24

Journal of Mathematics and Statistics, Published online: 24 May 2020; doi:10.3844/jmssp.2020.62.75

The area under the Receiver Operating Characteristic (ROC) curve (AUC) is a summary measure when comparing two ROC curves. However, this summary measure is less informative when two ROC curves cross a...

The Regularity of the Solutions to the Cauchy Problem for the Quasilinear Second-Order Parabolic Partial Differential Equations

Mykola Yaremenko — 2020-06-02

Journal of Mathematics and Statistics, Published online: 2 June 2020; doi:10.3844/jmssp.2020.76.89

This article is dedicated to expanding our comprehension of the regularity of the solutions to the Cauchy problem for the quasilinear second-order parabolic partial differential equations under fair g...

Joint Modelling of Longitudinal-Time-To-Event with Categorical Variable Indicators of Latent Classes: Application to Tuberculosis Data

Adeboye Azeez — 2020-06-09

Journal of Mathematics and Statistics, Published online: 9 June 2020; doi:10.3844/jmssp.2020.90.103

In many clinical and reliability research reports, the outcomes of basic interest is the time to a particular event happens in order to indicate the personâ€™s â€œtrueâ€ state of health ...

Dynamical Analysis on the Transmission of Pertussis with Maternally Derived Immunity

Aisha Aliyu Yakubu — 2020-06-26

Journal of Mathematics and Statistics, Published online: 26 June 2020; doi:10.3844/jmssp.2020.104.112

A susceptible-infected-recovered compartmental model incorporating maternally derived immunity compartment is analyzed in this study. The stability of the pertussis-disease-free and endemic equilibriu...

Some Cubic Transmuted Exponentiated Pareto-1 Distribution

Hussein Eledum — 2020-07-14

Journal of Mathematics and Statistics, Published online: 14 July 2020; doi:10.3844/jmssp.2020.113.124

In this study, we introduce two new generalized versions of the Exponentiated Pareto-I distribution called (CTEP-I-G) and (CTEP-I-R). Statistical properties of the two distributions such as reliabilit...

Positive Solutions for Some Weighted Elliptic Problems

Hanadi Zahed — 2020-07-21

Journal of Mathematics and Statistics, Published online: 21 July 2020; doi:10.3844/jmssp.2020.125.132

In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems: (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a ...

Birkhoff Orthogonality and Different Particular Cases of Carlsson's Orthogonality on Normed Linear Spaces

Prakash Muni Bajracharya — 2020-07-22

Journal of Mathematics and Statistics, Published online: 22 July 2020; doi:10.3844/jmssp.2020.133.141

Let x, y ∈ X, where X is an inner-product space. We say x is orthogonal to y if ⟨x, y⟩ = 0. When we move to general normed spaces there are many possibilities of extending the notion of orthogon...

Lexicographically Maximum Dynamic Flow with Vertex Capacities

Phanindra Prasad Bhandari — 2020-07-24

Journal of Mathematics and Statistics, Published online: 24 July 2020; doi:10.3844/jmssp.2020.142.147

We consider an evacuation planning problem in the sense of computing a feasible dynamic flow lexicographically maximizing the amount of flow entering a set of terminals with respect to a given priorit...

Warranty Cost Models using Accelerated Life Tests on Dagum Distribution

Eman A. El-Dessouky Nassef — 2020-08-03

Journal of Mathematics and Statistics, Published online: 3 August 2020; doi:10.3844/jmssp.2020.148.160

Warranty one of the main factors which effect on the decision to purchase any product whether it is non repairable or repairable, therefore, in market the manufacturers can compete by using warranty s...

Convergence Results for Fixed Point Problems of Accretive Operators in Banach Spaces

Chioma Lydia Ejikeme — 2020-07-31

Journal of Mathematics and Statistics, Published online: 31 July 2020; doi:10.3844/jmssp.2020.161.169

This paper deals with the approximate solutions of accretive maps in a uniformly convex Banach space. A weak convergence of a three - step iterative scheme involving the resolvents of accretive operat...

Geometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered Categories

Tomoyuki Nakagawa — 2020-08-11

Journal of Mathematics and Statistics, Published online: 11 August 2020; doi:10.3844/jmssp.2020.170.175

For square contingency tables, some studies have developed the weighted arithmetic mean type measure to represent the degree of departure from the marginal homogeneity. The present paper proposes (1) ...

On Matrix Representation of Bernstein Polynomials for Triple Sequences

Arulmani Indumathi — 2020-08-21

Journal of Mathematics and Statistics, Published online: 21 August 2020; doi:10.3844/jmssp.2020.176.181

Drawdown and Drawup of Bi-Directional Grid Constrained Stochastic Processes

Aldo Taranto — 2020-09-14

Journal of Mathematics and Statistics, Published online: 14 September 2020; doi:10.3844/jmssp.2020.182.197

The Grid Trading Problem (GTP) of mathematical finance, used in portfolio loss minimization, generalized dynamic hedging and algorithmic trading, is researched by examining the impact of the drawdown ...

Quickest Multi-Commodity Flow Over Time with Partial Lane Reversals

Tanka Nath Dhamala — 2020-10-02

Journal of Mathematics and Statistics, Published online: 2 October 2020; doi:10.3844/jmssp.2020.198.211

Routing of more than one different commodity from speciﬁc origin nodes to the corresponding destination nodes through the arcs of an underlying network respecting the capacity constraints is one of ...

Topological Beth Model and its Application to Functionals of High Types

Farida Kachapova — 2020-10-14

Journal of Mathematics and Statistics, Published online: 14 October 2020; doi:10.3844/jmssp.2020.212.223

Based on the deﬁnition of Beth-Kripke model by Dragalin, we describe Beth model from the topological point of view. We show the relation of the topological deﬁnition with more traditional relation...

Role of Clothing Insulation for Thermal Comfort: A Numerical Study using Bio-Heat Transfer Model

Kabita Luitel — 2020-12-24

Journal of Mathematics and Statistics, Published online: 24 December 2020; doi:10.3844/jmssp.2020.224.232

Clothing plays a major role in protecting the human body from cold and hot environment by working as an insulator. The physical factors such as conduction, convection, radiation, evaporation and the p...

Inequalities Associated to a Sequence of Dyadic Martingales

Santosh Ghimire — 2020-12-23

Journal of Mathematics and Statistics, Published online: 23 December 2020; doi:10.3844/jmssp.2020.233.238

In this article, we establish some inequalities associated to a sequence of dyadic martingales. These inequalities are sub-Gaussian type estimates. We derive the inequalities for a regular sequence of...