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Probability Distributions

Probability Distributions


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About the Book

1. Continuous Distributions
1.1 Introduction1.2 Sample Data Statistics1.3 Notation1.4 Parameter Estimating Methods1.5 Transforming VariablesTransform Data to (0,1)Transform Data to (x >=0)1.6 Continuous Random Variables1.7 Continuous Uniform Coefficient of VariationParameter Estimates1.8 Exponential 1.9 Erlang Parameter Estimates1.10 Gamma Parameter Estimates1.11 Beta Standard Beta Mean and Variance Parameter Estimates1.12 Weibull Weibull Plot Parameter Estimates1.13 NormalStandard Normal Distribution Coefficient of VariationParameter Estimates1.14 Lognormal Parameter Estimates1.15 Summary1.16 Reference
2 Discrete Distributions2.1 Introduction2.2 Discrete Random VariablesLexis Ratio2.3 Discrete UniformParameter Estimates2.4 BinomialLexis RatioParameter EstimatesNormal Approximation Poisson Approximation 2.5 GeometricNumber of TrialsNumber of FailuresLexis RatioParameter Estimate2.6 PascalNumber of TrialsLexis Ratio Parameter EstimateNumber of FailuresLexis RatioParameter Estimate2.7 PoissonLexis RatioRelation to the Exponential DistributionParameter Estimate2.8 Hyper GeometricParameter Estimate2.9 Summary2.10 Reference
3 Standard Normal3.1 Introduction3.2 Gaussian Distribution3.3 Some Relations on the Standard Normal Distribution4.3 Normal Distribution3.5 Standard Normal3.6 Hastings ApproximationsApproximation of F(z) from zApproximation of z from F(z)3.7 Table Values of the Standard Normal3.8 Discrete Normal Distribution3.9 Summary3.10 References
4 Partial Expectation4.1 Introduction4.2 Partial Expectation4.3 Left Location ParameterTable Entries4.4 Inventory Management4.5 Right Location Parameter4.6 Advance Demand4.7 Summary4.8 References
5 Left Truncated Normal5.1 Introduction5.2 Left-Location Parameter5.3 Mathematical Equations5.4 Table Entries5.5 More Tables5.6 Left Truncated Distribution5.7 Application to Sample Data5.8 LTN for Inventory ControlAutomotive Service Parts Distribution CenterRetail Products5.9 Summary5.10 References
6 Right Truncated Normal6.1 Introduction6.2 Right Truncated Distribution6.3 Mathematical Equations6.4 Variable t Range6.5 Table Entries6.6 Application to Sample Data6.7 More Tables6.8 Summary6.9 Reference
7 Truncated Normal Spread Ratio7.1 Introduction7.2 The Spread Ratio7.3 LTN Distribution Measures7.4 LTN Table Entries7.5 RTN Distribution Measures7.6 &n
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 the IIT Research Institute; and 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.


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Product Details
  • ISBN-13: 9783319760414
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1st ed. 2018
  • Language: English
  • Returnable: Y
  • Sub Title: With Truncated, Log and Bivariate Extensions
  • Width: 156 mm
  • ISBN-10: 3319760416
  • Publisher Date: 18 Apr 2018
  • Binding: Hardback
  • Height: 234 mm
  • No of Pages: 163
  • Spine Width: 13 mm
  • Weight: 489 gr


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