1. Statistical Concepts 1.1 Introduction
Probability Distributions, Random Variables, Notation and Parameters
1.2 Fundamentals
1.3 Continuous Distribution
Admissible Range
Probability Density
Cumulative Distribution Complementary Probability
Expected Value
Variance and Standard Deviation
Median
Coefficient-of-Variation 1.4 Discrete Distributions
Admissible Range
Probability Function
Cumulative Probability
Complementary Probability Expected Value and Mean
Variance and Standard Deviation
Median
Mode
Lexis Ratio 1.5 Sample Data Basic Statistics
1.6 Parameter Estimating Methods
Maximum-Likelihood-Estimator (MLE)
Method-of-Moments (MoM)
1.7 Transforming Variables
Transform Data to Zero or Larger
Transform Data to Zero and One &nbs
About the Author:
Nick T. Thomopoulos, Ph.D., has degrees in business (B.S.) and in mathematics (M.A.) from the University of Illinois, and in industrial engineering (Ph.D.) from Illinois Institute of Technology (Illinois Tech). He was supervisor of operations research at International Harvester; senior scientist at Illinois Tech Research Institute; Professor in Industrial Engineering, and in the Stuart School of Business at Illinois Tech. He is the author of eleven books including Fundamentals of Queuing Systems (Springer), Essentials of Monte Carlo Simulation (Springer), Applied Forecasting Methods (Prentice Hall), and Fundamentals of Production, Inventory and the Supply Chain (Atlantic). He has published many papers and has consulted in a wide variety of industries in the United States, Europe and Asia. Dr. Thomopoulos has received honors over the years, such as the Rist Prize from the Military Operations Research Society for new developments in queuing theory; the Distinguished Professor Award in Bangkok, Thailand from the Illinois Tech Asian Alumni Association; and the Professional Achievement Award from the Illinois Tech Alumni Association.