May 2, 2024
Mahmoud Afshari

Mahmoud Afshari

Academic Rank: Associate professor
Address: Mahmoud Afshari, Associate Professor. Department of Statistics, College of science Persian Gulf University, 7516913798, Iran E-mail:afshar.5050@gmail.com or afshar@pgu.ac.ir TEL:00989177125766
Degree: Ph.D in statistics
Phone: 07731223328
Faculty: Faculty of Intelligent Systems and Data Science

Research

Title
Nonparametric Estimation Of Statistical Function Using Continuous Wavelet With Bayesian Approach
Type Thesis
Keywords
استنباط بيزي، رگرسيون ناپارامتري، جهش برگشت پذير زنجيره ماركوف مونت كارلو، بسط تصادفي، موجك ها
Researchers tahereh Hajizadeh (Student) , Mahmoud Afshari (Primary advisor) , Saeid Tahmasebi (Advisor)

Abstract

‎In this thesis‎, ‎after expressing the terms‎, ‎terms and definitions‎, ‎first using a continuous wavelet estimation‎, ‎we obtain a statistical function and by the Bayesian approach‎, ‎we propose a method and detail its details‎. ‎using Monte Carlo algorithm‎, ‎we examine the point estimation and distance of the target function‎. ‎Finally‎, ‎using the numerical study and simulation‎, ‎we examine the results of the obtained estimators and examine the obtained theoretical results in practice‎. ‎using mean squared error and standard deviation‎, ‎it is shown that the proposed method has better performance for the target function‎.