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2008

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Full-Text Articles in Mathematics

Penghitungan Premi Untuk Asuransi Kendaraan Bermotor Berdasarkan Sejarah Frekuensi Klaim Pemegang Polis Menggunakan Analisis Bayes, Aceng Komarudin Mutaqin, Komarudin Komarudin Dec 2008

Penghitungan Premi Untuk Asuransi Kendaraan Bermotor Berdasarkan Sejarah Frekuensi Klaim Pemegang Polis Menggunakan Analisis Bayes, Aceng Komarudin Mutaqin, Komarudin Komarudin

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Makalah ini membahas masalah penghitungan premi untuk asuransi kendaraan bermotor berdasarkan sejarah frekuensi klaim pemegang polis menggunakan analisis Bayes. Dilihat dari sudut pandang pemegang polis, premi yang dihasilkan bersifat adil, karena premi yang harus dibayarkan pada saat perpanjangan polis proporsional dengan taksiran frekuensi klaimnya. Sementara itu, dilihat dari sudut pandang perusahaan asuransi, akan menghasilkan keseimbangan finansial. Sebagai bahan aplikasi digunakan data klaim pemegang polis asuransi kendaraan bermotor dari salah satu perusahaan asuransi yang berdomisili di Bandung.
Kata kunci : sistem bonus malus, analisis Bayes, asuransi kendaraan bermotor, frekuensi klaim


Seleksi Model Neural Network Menggunakan Inferensi Statistik Dari R^2 Increment Dan Uji Wald Untuk Peramalan Time Series Multivariat, Dhoriva Urwatul Wustqa Dec 2008

Seleksi Model Neural Network Menggunakan Inferensi Statistik Dari R^2 Increment Dan Uji Wald Untuk Peramalan Time Series Multivariat, Dhoriva Urwatul Wustqa

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Dalam makalah ini akan dibahas tentang seleksi model neural network untuk peramalan time series multivariat melalui pendekatan statistika inferensial. Pembahasan mencakup dua kajian, yaitu kajian teoritis tentang sifat asimtotis dari penduga parameter model NN dan distribusi dari statistik uji yang digunakan, dan kajian empiris berupa penerapan teori untuk membentuk prosedur pemilihan model NN untuk peramalan time series multivariat. Prosedur yang diusulkan merupakan kombinasi dari metode forward berdasarkan pada inferensia statistik kontribusi penambahan R2 increment dan metode backward dengan uji Wald. Untuk melihat efektivitas dari prosedur digunakan data simulasi. Hasil simulasi menunjukkan bahwa prosedur seleksi model dapat secara efektif diterapkan untuk …


Perbandingan Model Neural Network Dan Regresi Logistik Pada Kasus Masa Studi Mahasiswa Jurusan Pendidikan Matematika Fmipa Uny, Dhoriva Urwatul Wutsqa, Sri Rezeki Dec 2008

Perbandingan Model Neural Network Dan Regresi Logistik Pada Kasus Masa Studi Mahasiswa Jurusan Pendidikan Matematika Fmipa Uny, Dhoriva Urwatul Wutsqa, Sri Rezeki

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Penelitian ini bertujuan untuk membandingkan model Neural Network (NN) dengan regresi logistik dalam memodelkan masalah klasifikasi pada kasus masa studi mahasiswa Jurusan Pendidikan Matematika FMIPA UNY, dan mengetahui faktor-faktor yang mempengaruhi masa studi mahasiswa Jurusan Pendidikan Matematika FMIPA UNY. Subyek penelitian ini adalah mahasiswa Jurusan Pendidikan Matematika yang lulus sejak Agustus 2001 hingga November 2005. Jumlah responden dalam penelitian ini sebanyak 319 orang. Variabel respon (Y) dalam penelitian ini adalah ketepatan masa studi. Variabel penjelasnya yaitu jenis kelamin (X1), IPK tahun pertama (X2) dan program studi (X3). Variabel penjelas dipilih berdasarkan ketersediaan data. Untuk membandingkan kedua model digunakan kriteria ketepatan …


Analisis Interaksi Genotip X Lingkungan Menggunakan Structural Equation Modeling, I Made Sumertajaya, Ahmad Ansori Matjjik, I Gede Nyoman Mindra Jaya Dec 2008

Analisis Interaksi Genotip X Lingkungan Menggunakan Structural Equation Modeling, I Made Sumertajaya, Ahmad Ansori Matjjik, I Gede Nyoman Mindra Jaya

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Additive Main Effect and Multiplicative Model (AMMI Model) nowadays is used to asses in plant breeding, especially to asses the Genotype × Environment Interaction (GEI) on multi-environment trial. The presence of genotype × environment interaction (GEI) creates difficulties in modeling complex trait that involve sequence biological process. Coupling Structural equation modeling with AMMI was developed to analyzed genotype × environment interaction (GEI). Structural equation modeling allows us to account for underlying sequential process in plant development by incorporating intermediate variables associated with those processes in the model. With this method we can incorporating genotypic and environmental covariate in the model …


Pemodelan Persamaan Struktural Dengan Analisis Linear Structure Relationship (Lisrel), Ida Mariati Hutabarat Dec 2008

Pemodelan Persamaan Struktural Dengan Analisis Linear Structure Relationship (Lisrel), Ida Mariati Hutabarat

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

The structural equation modeling is a part of statistics which can be used to analyze relation which is developed through one or more dependent variable which is explained by one or more independent variable, and at the same time one or more independent variable acts as an independent variable for the other dependent variable. In the covariance structure based structural equation modeling the analysis which is frequently used is the Linear Structure Relationship (LISREL) analysis. The aim of this study is to learn the accuracy and consistence of the estimated values of parameters of structural equation model using LISREL analysis. …


Best Proximity Pairs Theorems For Continuous Set-Valued Maps, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal Dec 2008

Best Proximity Pairs Theorems For Continuous Set-Valued Maps, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal

Mathematics and System Engineering Faculty Publications

A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem. Copyright © 2008 A. Amini-Harandi et al.


Topological Structures In The Equities Market Network, Gregory Leibon, Scott Pauls, Daniel Rockmore, Robert Savell Dec 2008

Topological Structures In The Equities Market Network, Gregory Leibon, Scott Pauls, Daniel Rockmore, Robert Savell

Dartmouth Scholarship

We present a new method for articulating scale-dependent topological descriptions of the network structure inherent in many complex systems. The technique is based on “partition decoupled null models,” a new class of null models that incorporate the interaction of clustered partitions into a random model and generalize the Gaussian ensemble. As an application, we analyze a correlation matrix derived from 4 years of close prices of equities in the New York Stock Exchange (NYSE) and National Association of Securities Dealers Automated Quotation (NASDAQ). In this example, we expose (i) a natural structure composed of 2 interacting partitions of …


Predictability In The Indian Stock Market: A Study From An Econometric Perspective., Debabrata Mukhopadhyay Dr. Dec 2008

Predictability In The Indian Stock Market: A Study From An Econometric Perspective., Debabrata Mukhopadhyay Dr.

Doctoral Theses

No abstract provided.


Coincidence Point, Best Approximation, And Best Proximity Theorems For Condensing Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Ravi P. Agarwal, Donal O'Regan Dec 2008

Coincidence Point, Best Approximation, And Best Proximity Theorems For Condensing Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Ravi P. Agarwal, Donal O'Regan

Mathematics and System Engineering Faculty Publications

In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application, we derive a coincidence point theorem for nonself-condensing set-valued maps.


A Trust-Based Secure Service Discovery (Tssd) Model For Pervasive Computing, Sheikh Iqbal Ahamed, Moushumi Sharmin Dec 2008

A Trust-Based Secure Service Discovery (Tssd) Model For Pervasive Computing, Sheikh Iqbal Ahamed, Moushumi Sharmin

Mathematics, Statistics and Computer Science Faculty Research and Publications

To cope with the challenges posed by device capacity and capability, and also the nature of ad hoc networks, a Service discovery model is needed that can resolve security and privacy issues with simple solutions. The use of complex algorithms and powerful fixed infrastructure is infeasible due to the volatile nature of pervasive environment and tiny pervasive devices. In this paper, we present a trust-based secure Service discovery model, TSSD (trust-based secure service discovery) for a truly pervasive environment. Our model is a hybrid one that allows both secure and non-secure discovery of services. This model allows Service discovery and …


Delay-Induced Destabilization Of Entrainment Of Nerve Impulses On Ephaptically Coupled Nerve Fibers, Evangelos A. Coutsias, Mohit H. Adhikari, John K. Mciver Dec 2008

Delay-Induced Destabilization Of Entrainment Of Nerve Impulses On Ephaptically Coupled Nerve Fibers, Evangelos A. Coutsias, Mohit H. Adhikari, John K. Mciver

Branch Mathematics and Statistics Faculty and Staff Publications

We study the effect of delay on the synchronization of two nerve impulses traveling along two ephaptically coupled, unmyelinated nerve fibers. The system is modeled as a pair of delay-coupled Fitzhugh-Nagumo equations. A multiple-scale perturbation approach is used for the analysis of these equations in the limit of weak coupling. In the absence of delay, two pulses with identical speeds are shown to be entrained precisely. However, as the delay is increased beyond a critical value, we show that this precise entrainment becomes unstable. We make quantitative estimates for the actual values of delay at which this can occur in …


Restrained And Other Domination Parameters In Complementary Prisms., Wyatt Jules Desormeaux Dec 2008

Restrained And Other Domination Parameters In Complementary Prisms., Wyatt Jules Desormeaux

Electronic Theses and Dissertations

In this thesis, we will study several domination parameters of a family of graphs known as complementary prisms. We will first present the basic terminology and definitions necessary to understand the topic. Then, we will examine the known results addressing the domination number and the total domination number of complementary prisms. After this, we will present our main results, namely, results on the restrained domination number of complementary prisms. Subsequently results on the distance - k domination number, 2-step domination number and stratification of complementary prisms will be presented. Then, we will characterize when a complementary prism is Eulerian or …


Unfolding Convex Polyhedra Via Quasigeodesic Star Unfoldings, Jin-Ichi Itoh, Joseph O'Rourke, Costin Vîlcu Dec 2008

Unfolding Convex Polyhedra Via Quasigeodesic Star Unfoldings, Jin-Ichi Itoh, Joseph O'Rourke, Costin Vîlcu

Computer Science: Faculty Publications

We extend the notion of a star unfolding to be based on a simple quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron P to a simple, planar polygon: shortest paths from all vertices of P to Q are cut, and all but one segment of Q is cut.


Singularities Of Hinge Structures, Ciprian Borcea, Ileana Streinu Dec 2008

Singularities Of Hinge Structures, Ciprian Borcea, Ileana Streinu

Computer Science: Faculty Publications

Motivated by the hinge structure present in protein chains and other molecular conformations, we study the singularities of certain maps associated to body-and-hinge and panel-and-hinge chains. These are sequentially articulated systems where two consecutive rigid pieces are connected by a hinge, that is, a codimension two axis. The singularities, or critical points, correspond to a dimensional drop in the linear span of the axes, regarded as points on a Grassmann variety in its Pl¨ucker embedding. These results are valid in arbitrary dimension. The three dimensional case is also relevant in robotics.


Locality And Stability Of The Cascades Of Two-Dimensional Turbulence, Eleftherios Gkioulekas Dec 2008

Locality And Stability Of The Cascades Of Two-Dimensional Turbulence, Eleftherios Gkioulekas

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

We investigate and clarify the notion of locality as it pertains to the cascades of two-dimensional turbulence. The mathematical framework underlying our analysis is the infinite system of balance equations that govern the generalized unfused structure functions, first introduced by L’vov and Procaccia. As a point of departure we use a revised version of the system of hypotheses that was proposed by Frisch for three-dimensional turbulence. We show that both the enstrophy cascade and the inverse energy cascade are local in the sense of nonperturbative statistical locality. We also investigate the stability conditions for both cascades. We have shown that …


Robust Stability And Optimality Conditions For Parametric Infinite And Semi-Infinite Programs, M J. Cánovas, M A. Lopez, Boris S. Mordukhovich, J Parra Dec 2008

Robust Stability And Optimality Conditions For Parametric Infinite And Semi-Infinite Programs, M J. Cánovas, M A. Lopez, Boris S. Mordukhovich, J Parra

Mathematics Research Reports

This paper primarily concerns the study of parametric problems of infinite and semi-infinite programming, where functional constraints are given by systems of infinitely many linear inequalities indexed by an arbitrary set T, where decision variables run over Banach (infinite programming) or finite-dimensional (semi-infinite case) spaces, and where objectives are generally described by nonsmooth and nonconvex cost functions. The parameter space of admissible perturbations in such problems is formed by all bounded functions on T equipped with the standard supremum norm. Unless the index set T is finite, this space is intrinsically infinite-dimensional (nonreflexive and nonseparable) of the l(infinity)-type. By using …


Sublimital Analysis, Thomas Q. Sibley Dec 2008

Sublimital Analysis, Thomas Q. Sibley

Mathematics Faculty Publications

The Bolzano-Weierstrass theorem asserts, under appropriate circumstances, the convergence of some subsequence of a sequence. While this famous theorem ignores the actual limit of the subsequence, it is natural to investigate such limits. This note characterizes the set of possible limits of subsequences of a given sequence.


Partial Automorphism Semigroups, Jennifer Chubb, Valentina Harizanov, Andrei Morozov, Sarah Pingrey, Eric Ufferman Dec 2008

Partial Automorphism Semigroups, Jennifer Chubb, Valentina Harizanov, Andrei Morozov, Sarah Pingrey, Eric Ufferman

Mathematics

We study the relationship between algebraic structures and their inverse semigroups of partial automorphisms. We consider a variety of classes of natural structures including equivalence structures, orderings, Boolean algebras, and relatively complemented distributive lattices. For certain subsemigroups of these inverse semigroups, isomorphism (elementary equivalence) of the subsemigroups yields isomorphism (elementary equivalence) of the underlying structures. We also prove that for some classes of computable structures, we can reconstruct a computable structure, up to computable isomorphism, from the isomorphism type of its inverse semigroup of computable partial automorphisms.


Preface Dec 2008

Preface

Communications on Stochastic Analysis

No abstract provided.


General Equilibrium Asset Pricing Under Regime Switching, Robert J Elliott, Hong Miao, Jin Yu Dec 2008

General Equilibrium Asset Pricing Under Regime Switching, Robert J Elliott, Hong Miao, Jin Yu

Communications on Stochastic Analysis

No abstract provided.


A Decomposition Of Multiple Wiener Integrals By The Lévy Process And Lévy Laplacian, Atsushi Ishikawa Dec 2008

A Decomposition Of Multiple Wiener Integrals By The Lévy Process And Lévy Laplacian, Atsushi Ishikawa

Communications on Stochastic Analysis

No abstract provided.


Errata: Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System (Cosa, Vol. 1, No. 3 (2007) 473–483) [Mr2403863], P Sundar, Hong Yin Dec 2008

Errata: Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System (Cosa, Vol. 1, No. 3 (2007) 473–483) [Mr2403863], P Sundar, Hong Yin

Communications on Stochastic Analysis

No abstract provided.


Limits Of Bifractional Brownian Noises, Makoto Maejima, Ciprian A Tudor Dec 2008

Limits Of Bifractional Brownian Noises, Makoto Maejima, Ciprian A Tudor

Communications on Stochastic Analysis

No abstract provided.


A Class Of Extreme X-Harmonic Functions, John Verzani Dec 2008

A Class Of Extreme X-Harmonic Functions, John Verzani

Communications on Stochastic Analysis

No abstract provided.


Applicability Of Multiplicative Renormalization Method For A Certain Function, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli Dec 2008

Applicability Of Multiplicative Renormalization Method For A Certain Function, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli

Communications on Stochastic Analysis

No abstract provided.


An Extension Of The Itô Integral, Wided Ayed, Hui-Hsiung Kuo Dec 2008

An Extension Of The Itô Integral, Wided Ayed, Hui-Hsiung Kuo

Communications on Stochastic Analysis

No abstract provided.


Locally Integrable Processes With Respect To Locally Additive Summable Processes, Oana Mocioalca Dec 2008

Locally Integrable Processes With Respect To Locally Additive Summable Processes, Oana Mocioalca

Communications on Stochastic Analysis

No abstract provided.


Interacting Fock Space Versus Full Fock Module, Luigi Accardi, Michael Skeide Dec 2008

Interacting Fock Space Versus Full Fock Module, Luigi Accardi, Michael Skeide

Communications on Stochastic Analysis

No abstract provided.


Distribution And Propagation Properties Of Superprocesses With General Branching Mechanisms, Zenghu Li, Xiaowen Zhou Dec 2008

Distribution And Propagation Properties Of Superprocesses With General Branching Mechanisms, Zenghu Li, Xiaowen Zhou

Communications on Stochastic Analysis

No abstract provided.


Optimal Hedging Of Path-Dependent Options In Discrete Time Incomplete Market, Norman Josephy, Lucy Kimball, Victoria Steblovskaya Dec 2008

Optimal Hedging Of Path-Dependent Options In Discrete Time Incomplete Market, Norman Josephy, Lucy Kimball, Victoria Steblovskaya

Communications on Stochastic Analysis

No abstract provided.