Essays on Mathematics and Statistics: Volume 3

Edited by Vladimir Akis

ISBN: 978-960-9549-34-9308 pages

First published in 2013 by ATINER

Price: Paperback: 50€ (It includes Shipping and Handling)

Electronic copy: 30€

 

Table of Contents

Preface

Vladimir Akis

 

1.

Reinsurance under Extreme Risk - An Aggregate Excess-Of Loss Model with Fréchet Claims

Uğur Tuncay Alparslan and Erick Luerken

1

2.

Modelization of Count Data Variables Related to the Quality in Education

José Rodríguez Avi, Antonio Conde Sánchez, Ana María Martínez Rodríguez and María José Olmo Jiménez

15

3.

Solving a Constrained Shortest Path Problem via DNA Computation

Alireza Bagheri Salec, Saeed Safaee, Ardeshir Dolati and Mahdi S. Haghighat

33

4.

Modifying Mobius

Peter G. Brown

39

5.

Traveling Salesman Solves a ‘‘Meals on Wheels’’ Problem: Utilizing Academic Service- Learning in an Integrated Algebra and Computer Science Course

Joanne Caniglia and Ellene Tratras Contis

49

6.

Flood Modelling for the Parrett Catchment Area using a Non-linear Time Series System Identification Method

Huixin Chen and Phil Dyke

55

7.

New Parametric Approximation of Fuzzy Number

Reza Ezzati and Maryam Farzam

67

8.

On the K-Fibonacci Matrices

Sergio Falcon

81

9.

A Note on the Additive Seasonal Decomposition of Time Series

Constantine Georgakis

91

10.

Minimum Distance Density Estimates of a Probability Density on the Real Line

Jitka Hrabáková and Vaclav Kůs

97

11.

A New Approach On Quaternary Cryptographic Functions

Zoubida Jadda, Patrice Parraud and Adil Bensleten

107

12.

A Simple Proof for Equivalency of Approximate Amenability and Approximate Contractibility of Banach Algebras

Seyede Somaye Jafari

119

13.

Copula-based Approach to Modelling Incomplete Correlated Data

Meelis Käärik and Ene Käärik

125

14.

Entropy Rate for Ehrenfest's Urn Models

Morteza Khodabin and Reza Ezzati

135

15.

Statistical Inference Using Copulas and an Application to Analyze Effect of Storage of the Red Blood Cells on Erythrocyte Adenosine Triphosphate Levels

Pranesh Kumar

151

16.

Implementation of Direct Method of Adams Moulton Type for Solving Two Point Boundary Value Problems

Zanariah Abdul Majid, Pang Pei See and Mohamed Suleiman

161

17.

Some Aspects of Univalent Meromorphic Functions with Positive Coefficients

Shahram Najafzadeh

173

18.

The Inverse Eigenvalue Problem for a Symmetric Special Kind of Matrix

Alimohammad Nazari and Maryam Alibakhshi

179

19.

Zeta Functions Attached to Semidirect Products: The P-Adic Case

Ali Erhan Ozluk and Chip Snyder

185

20.

Exact Calculation of Optimal Filter in Hidden Markov Switching Long-Memory Chains

Wojciech Pieczynski

193

21.

Single-term Walsh Series with a Collocation Method for Solving Nonlinear Volterra-Hammerstein Integral Equations

B. Sepehrian and M. Razzaghi

203

22.

In Search of the Big Bubble

Andrew Simoson

207

23.

Various Concepts of Trichotomy for Evolution Equations on Banach Spaces

Codruta Stoica

215

24.

Asymptotic Properties for Differential Equations in Banach Spaces

Codruta Stoica and Mihail Megan

225

25.

Nilpotent Lie Algebras of Dimension 9 and With Minimal Representation of Dimension 5 by using Strictly Upper-Triangular Matrices

Ángel F. Tenorio

235

26.

A New Transformation Formula for Fractional Derivatives with Applications

R. Tremblay and B.J. Fugére

251

27.

An Application of Ordınal and Multinomial Logistic Regression Analysis: A Turkey Survey

Meral Yay

275

28.

A Note on the Dynamic Cumulative Past Entropy

Younes Zohrevand

287