Volume 12, Issue 2 (2016) | Journal of Mathematics and Statistics

Some Contributions to the Theory of Abstract Degenerate Volterra Integro-Differential Equations

Marko Kostić — 2016-06-17

Journal of Mathematics and Statistics, Published online: 17 June 2016; doi:10.3844/jmssp.2016.65.76

In this study, we contribute to the existing theory of abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces. We investigate a class of abstract de...

Burr-X Model Estimate using Bayesian and non-Bayesian Approaches

Abdullah Y. Al-Hossain — 2016-05-06

Journal of Mathematics and Statistics, Published online: 6 May 2016; doi:10.3844/jmssp.2016.77.85

The present paper is aimed at developing Bayesian and Maximum Likelihood estimations (ML) of the Burr type-X model of distribution when data are gathered from Type-II cumulative censoring with binomia...

Proportional Hazard Inverse Weibull Distribution and Associated Inference

Suja M. Aboukhamseen — 2016-04-18

Journal of Mathematics and Statistics, Published online: 18 April 2016; doi:10.3844/jmssp.2016.86.98

In this study, we have considered the proportional hazard version of the inverse Weibull distribution. It has been shown that the density and hazard rate functions are unimodal and the mean residual l...

Testing VaR Accuracy for CDS Portfolios Using Historical Simulation and Delta-Normal Models

Viviane Y. Naimy — 2016-04-16

Journal of Mathematics and Statistics, Published online: 16 April 2016; doi:10.3844/jmssp.2016.99.106

This paper studies the accuracy of the VaR using the Delta-Normal and Historical approaches in measuring the risk of CDS portfolios in three different zones, US, Europe and Asia, for the period March ...

Randomized Response Procedure for the Estimation of the Population Ratio using Ranked Set Sampling

Agustin Santiago — 2016-04-27

Journal of Mathematics and Statistics, Published online: 27 April 2016; doi:10.3844/jmssp.2016.107.114

In this study we deal with the estimation of the population ratio, when a Randomized Response (RR) procedure is used for collecting responses and Ranked Set Sampling (RSS) is the selection method. The...

Hilbert-Type Inequalities Revisited

Waleed Abuelela — 2016-04-28

Journal of Mathematics and Statistics, Published online: 28 April 2016; doi:10.3844/jmssp.2016.115.118

Considering different parameters, Hilbert-type integral inequality for functions f(x), g(x) in L2[0, ∞) will be generalized.

Estimation for Unknown Parameters of the Burr Type-XII Distribution Based on an Adaptive Progressive Type-II Censoring Scheme

Montaser M. Amein — 2016-04-29

Journal of Mathematics and Statistics, Published online: 29 April 2016; doi:10.3844/jmssp.2016.119.126

In this study, the Maximum Likelihood Estimation (MLE) and Bayes estimation are exploited to make interval estimation based on adaptive progressive Type-II censoring for the Burr Type-XII distribution...

Numerical Solution of First Order Initial Value Problems Using a Self-Starting Implicit Two-Step Obrechkoff-Type Block Method

Zurni Omar — 2016-06-13

Journal of Mathematics and Statistics, Published online: 13 June 2016; doi:10.3844/jmssp.2016.127.134

The conventional two-step implicit Obrechkoff method is a discrete scheme that requires additional starting values when implemented for the numerical solution of first order initial value problems. Th...