Volume 12, Issue 3 (2016) | Journal of Mathematics and Statistics

Convergence of Renormalization Group Transformations of Gibbs Random Field

Farida Kachapova — 2016-07-27

Journal of Mathematics and Statistics, Published online: 27 July 2016; doi:10.3844/jmssp.2016.135.151

Statistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance...

Measure of Departure from Partial Symmetry for Square Contingency Tables

Yusuke Saigusa — 2016-08-09

Journal of Mathematics and Statistics, Published online: 9 August 2016; doi:10.3844/jmssp.2016.152.156

For square contingency tables, the present paper newly considers the partial symmetry model which indicates that there is a symmetric structure of probabilities for at least one of pairs of symmetric ...

Asymptotic Properties of Local Sampling on Manifold

Yury Aleksandrovich Yanovich — 2016-08-26

Journal of Mathematics and Statistics, Published online: 26 August 2016; doi:10.3844/jmssp.2016.157.175

In many applications, the real high-dimensional data occupy only a very small part in the high dimensional ‘observation space’ whose intrinsic dimension is small. The most popular model of such da...

Adapted Newton-Kantorovich Methods for Nonlinear Integral Equations

Mostefa Nadir — 2016-07-02

Journal of Mathematics and Statistics, Published online: 2 July 2016; doi:10.3844/jmssp.2016.176.181

For this work, the main idea is to make an adapted modification to the Newton-Kantorovich method destined to solve a nonlinear integral equations, so that by this technical method we obtain a simple a...

Statistical Inferences of the Rest Lifetimes of Ball Bearings' Residual Lifetimes Based on Rayleigh Residual Type II Censored Data

Ghassan K. Abufoudeh — 2016-08-01

Journal of Mathematics and Statistics, Published online: 1 August 2016; doi:10.3844/jmssp.2016.182.191

In this study, we consider statistical inference problems for the residual life data that come from the Rayleigh model based on type II censored data. Maximum likelihood and Bayesian approaches are us...

Sparse Sliced Inverse Quantile Regression

Ali Alkenani — 2016-09-10

Journal of Mathematics and Statistics, Published online: 10 September 2016; doi:10.3844/jmssp.2016.192.200

The current paper proposes the sliced inverse quantile regression method (SIQR). In addition to the latter this study proposes both the sparse sliced inverse quantile regression method with Lasso (LSI...

A Note on Improved Young Type Inequalities with Kantorovich Constant

Leila Nasiri — 2016-10-04

Journal of Mathematics and Statistics, Published online: 4 October 2016; doi:10.3844/jmssp.2016.201.205

In this article, we first present some improved Young type inequalities for scalars, then according to these inequalities we give the Hilbert-Schmidt norm and the trace norm versions.