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Please use this identifier to cite or link to this item: http://hdl.handle.net/11129/2650

Title: Martingale Theory
Authors: Oğurlu, Sonuç Zorlu
Victor, Oluwafemi Oludu
Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Mathematics.
Keywords: Mathematics
Applied Mathematics and Computer Science
Harmonic analysis - Martingales (Mathematics)
Martingale, Game of chance, Random walk, Stopping time
Issue Date: Sep-2015
Publisher: Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)
Citation: Victor, Oluwafemi Oludu . (2015). Martingale Theory . Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.
Abstract: From ages to ages there had been expectation of individuals on a specific predictions and future occurrences. So also in a game, different participant that involves in those specified game have their various expectations of the results or the output of the game they are involved in. That is why we need a mathematical theory that helps in prediction of the future expectations in our day to day activities. Therefore the Martingale Theory is a very good theory that explains and dissects the expectation of a gamer in a given game of chance. So in this thesis, we shall talk about the Martingale Theory expressing the expectations of a gamer in a game of chance, and also discuss the gaming strategies so as to enlighten everyone involved in a specific game their required expectation after proper understanding of the Martingale Theory. Keywords: Martingale, Game of chance, Random walk, Stopping time.
Eski zamanlardan günümüze kadar insanların gelecekteki oluşumlar ile ilgili belirli öngörüleri ve beklentileri olmuştur. Hatta farklı katılımcıların dahil olduğu belirli bir oyunda, oyuncunun dahil olduğu oyunun sonucuna yönelik çeşitli beklentileri vardır. Bu sebebledir ki, günlük hayatımızda gelecekle ilgili beklentiler hakkında öngörüde bulunabilmek için matematiksel Teoriye ihtiyaç duyulmaktadır. Bir şans oyununda oyuncunun beklentisini açıklamak ve incelemek için Martingale Teorisi kullanılmaktadır. Bu tezde oyuncunun beklentisi ifade etmek için Martingale Teorisi hakkında konuşacağız ve ayrıca oyun stratejilerini tartışacağız. Anahtar kelimeler: Martingale, şans oyunu, rasgele adım, durma zamanı
Description: Master of Science in Applied Mathematics and Computer Science. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2015. Supervisor: Assoc. Prof. Dr. Sonuç Zorlu Oğurlu.
URI: http://hdl.handle.net/11129/2650
Appears in Collections:Theses (Master's and Ph.D) – Mathematics

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