Constructing principal congruential generator for random numbers – Complete Phd and Masters Thesis

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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Problem Statement
1.3 Purpose of the Study
1.4 Research Questions
1.5 Significance of the Study
1.6 Definition of Terms

Chapter 2: Literature Review
2.1 Overview of Random Number Generators
2.2 Types of Random Number Generators
2.3 Previous Studies on Congruential Generators
2.4 Gaps in Existing Literature

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Sampling Technique
3.4 Data Analysis Techniques

Chapter 4: Discussion of Findings
4.1 Analysis of Generated Random Numbers
4.2 Comparison with Existing Generators
4.3 Limitations and Assumptions
4.4 Implications for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Future Research

Brief Overview:
The thesis “Constructing principal congruential generator for random numbers” explores the development and implementation of a principal congruential generator for generating random numbers. The study aims to address the limitations of existing random number generators and provide a more efficient and reliable solution.

Chapter one provides an introduction to the study, including the background, problem statement, objectives, and scope. Chapter two presents a comprehensive review of the existing literature on random number generators, highlighting the importance of principal congruential generators.

Chapter three outlines the research methodology, including the design, data collection methods, and analysis techniques used in the study. Chapter four discusses the findings of the research, analyzing the generated random numbers and comparing them with existing generators.

The conclusion and summary in chapter five provide a summary of the key findings, conclusions drawn from the study, and recommendations for future research in the field of random number generation. This thesis aims to contribute to the advancement of random number generation techniques and provide a valuable resource for researchers and practitioners in the field.

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