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The uniform continuity of characteristic function from convoluted exponential distribution with stabilizer constant

Dodi Devianto
- Vol. 1707, Iss: 1, pp 080006
TLDR
In this article, a convolution of generated random variable from independent and identically exponential distribution with stabilizer constant is constructed and the characteristic function of this distribution is obtained by using Laplace-Stieltjes transform.
Abstract: 
It is constructed convolution of generated random variable from independent and identically exponential distribution with stabilizer constant. The characteristic function of this distribution is obtained by using Laplace-Stieltjes transform. The uniform continuity property of characteristic function from this convolution is obtained by using analytical methods as basic properties.

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Preface: The 7th SEAMS UGM International Conference on Mathematics and its
Applications 2015
Citation: AIP Conference Proceedings 1707, 010001 (2016); doi: 10.1063/1.4940800
View online: http://dx.doi.org/10.1063/1.4940800
View Table of Contents: http://scitation.aip.org/content/aip/proceeding/aipcp/1707?ver=pdfcov
Published by the AIP Publishing
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PREFACE
First of all, we would like to thank to all participants of “The 7th SEAMS UGM 2015 International
Conference on Mathematics and Its Applications” which was held on August 18-21, 2015. The conference
is very important as a communication forum of the mathematicians, not only in Indonesia, but also in
Southeast Asia and surrounding areas. We also thank to the steering committee members and all of the
reviewers for all supports during the conference and the preparation of this proceedings.
As the scientific documentation of the conference, we provide two-types of proceedings. The first one is
the AIP Proceedings which contains the high quality paper selected by blind review process. The second
one is the regular proceedings, which contain the selected papers which are not published in the AIP
Proceedings and the paper of our invited speakers.
We would like to say thanks to all authors who have submitted the paper to our proceedings. During the
review process, we found that almost all papers has good quality. However due to the limitation number
of the paper which can be published in our proceedings, we should select the submitted paper based on
the reviewer recommendation and score. So, there are some papers which are not accepted to publish in
this proceedings, we apologize to the authors about this inconvenience.
Lastly, we would like to say thanks for all partners and all sponsors in supporting our conference.
Warm regards,
Dr. Fajar Adi Kusumo
Editor in Chief.
Proceedings of The 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015
AIP Conf. Proc. 1707, 010001-1–010001-1; doi: 10.1063/1.4940800
© 2016 AIP Publishing LLC 978-0-7354-1354-2/$30.00
010001-1
This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:
180.250.36.4 On: Thu, 10 Mar 2016 02:52:51
List of Reviewers: The 7th SEAMS UGM International Conference on Mathematics and
its Applications 2015
Citation: AIP Conference Proceedings 1707, 010002 (2016); doi: 10.1063/1.4940801
View online: http://dx.doi.org/10.1063/1.4940801
View Table of Contents: http://scitation.aip.org/content/aip/proceeding/aipcp/1707?ver=pdfcov
Published by the AIP Publishing
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Preface: The 7th SEAMS UGM International Conference on Mathematics and its Applications 2015
AIP Conf. Proc. 1707, 010001 (2016); 10.1063/1.4940800
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AMiTaNS’15
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AIP Conf. Proc. 1684, 010003 (2015); 10.1063/1.4934280
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AMiTaNS’15
AIP Conf. Proc. 1684, 010001 (2015); 10.1063/1.4934278
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LIST OF REVIEWERS
Abdurakhman
Universitas Gadjah Mada
Agus Maman Abadi
Universitas Negeri Yogyakarta
Agus Suryanto
Universitas Brawijaya
Andrei Sleptchenko
Qatar University
Ari Suparwanto
Universitas Gadjah Mada
Atok Zulijanto
Universitas Gadjah Mada
Budi Surodjo
Universitas Gadjah Mada
Ch. Rini Indrati
Universitas Gadjah Mada
Danardono
Universitas Gadjah Mada
Dellavitha Nasution
Institut Teknologi Bandung
Dhoriva Urwatul Wutsqa
Universitas Negeri Yogyakarta
Diari Indriati
Universitas Negeri Surakarta
Fajar Adi Kusumo
Universitas Gadjah Mada
Fatmawati
Universitas Airlangga
Gunardi
Universitas Gadjah Mada
Hasmawati
Universitas Hasanuddin
Hengki Tasman
Universitas Indonesia
Herni Utami
Universitas Gadjah Mada
Herry Pribawanto Suryawan
Universitas Sanata Dharma
I Nyoman Budiantara
Institut Teknologi Sepuluh Nopember
I Wayan Sudarsana
Universitas Tadulako
Imam Solekhudin
Universitas Gadjah Mada
Indah Emilia Wijayanti
Universitas Gadjah Mada
Indarsih
Universitas Gadjah Mada
Intan Muchtadi-Alamsyah
Institut Teknologi Bandung
Irwan Endrayanto
Universitas Gadjah Mada
Isnaini Rosyida
Universitas Negeri Semarang
Khurul Wardati
UIN Sunan Kalijaga
L.H. Wiryanto
Institut Teknologi Bandung
Lina Aryati
Universitas Gadjah Mada
Manuharawati
Universitas Negeri Surabaya
Marcellinus Andy Rudhito
Universitas Sanata Dharma
MHD. Reza M.I. Pulungan
Universitas Gadjah Mada
Muhammad Wakhid Musthofa
UIN Sunan Kalijaga
Nor Haniza Sarmin
Universiti Teknologi Malaysia
Nurdin
Universitas Hasanuddin
Nurhayadi
Universitas Tadulako
Nursanti Anggriani
Universitas Padjadjaran
Salmah
Universitas Gadjah Mada
Sri Wahyuni
Universitas Gadjah Mada
Sudi Mungkasi
Universitas Sanata Dharma
Suhartono
Institut Teknologi Sepuluh Nopember
Sumardi
Universitas Gadjah Mada
Supama
Universitas Gadjah Mada
Syafrizal Sy
Universitas Andalas
Windarto
Universitas Airlangga
Yansen Marpaung
Universitas Sanata Dharma
Yeni Susanti
Universitas Gadjah Mada
Proceedings of The 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015
AIP Conf. Proc. 1707, 010002-1–010002-1; doi: 10.1063/1.4940801
© 2016 AIP Publishing LLC 978-0-7354-1354-2/$30.00
010002-1
This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:
180.250.36.4 On: Thu, 10 Mar 2016 02:53:27
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Frequently Asked Questions (5)
Q1. What contributions have the authors mentioned in the paper "Preface: the 7th seams ugm international conference on mathematics and its applications 2015" ?

In this paper, a convolution of generated random variable from independent and identically exponential distribution with stabilizer constant is constructed. 

Wn be n independent and identically exponential distribution with stabilizer constant where probability density function is defined as followsiwi ewf );( (4)for positive parameter λ, 10 iw and )1)((exp1 . 

CONCLUSIONThe characteristic function of convolution of generated random variable from independent and identically exponential distribution with stabilizer constant is contructed by using Laplace-Stieltjes transform. 

The conference is very important as a communication forum of the mathematicians, not only in Indonesia, but also in Southeast Asia and surrounding areas. 

WITH STABILIZER CONSTANTThe aim of this section is to present characteristic function of distribution from convolution of generating random variable of exponential distribution with stabilizer constant.