Probability Distributions

With Truncated, Log and Bivariate Extensions

Nick T. Thomopoulos (Autor)

Buch | Hardcover

XIX, 163 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-76041-4 (ISBN)

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This volume presents a concise and practical overview of statistical methods and tables not readily available in other publications. It begins with a review of the commonly used continuous and discrete probability distributions. Several useful distributions that are not so common and less understood are described with examples and applications in full detail: discrete normal, left-partial, right-partial, left-truncated normal, right-truncated normal, lognormal, bivariate normal, and bivariate lognormal. Table values are provided with examples that enable researchers to easily apply the distributions to real applications and sample data. The left- and right-truncated normal distributions offer a wide variety of shapes in contrast to the symmetrically shaped normal distribution, and a newly developed spread ratio enables analysts to determine which of the three distributions best fits a particular set of sample data. The book will be highly useful to anyone who does statistical andprobability analysis. This includes scientists, economists, management scientists, market researchers, engineers, mathematicians, and students in many disciplines.

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.

1. Continuous Distributions.- 2. Discrete Distributions.- 3. Standard Normal.- 4. Partial Expectation.- 5. Left Truncated Normal.- 6. Right Truncated Normal.- 7. Truncated Normal Spread Ratio.- 8. Bivariate Normal.- 9. Lognormal.- 10. Bivariate Normal.

"The book is clearly written, and makes it easy to read and comprehend the various issues related to probability distributions." (Sada Nand Dwivedi, ISCB News, iscb.info, Issue 66, December, 2018)
"The book gives a concise and practical overview of the commonly used distributions and statistical methods not presented in other publications. Table values and examples are provided as well. ... The book is free of theorems. It is intended for anyone who pursues statistical and probability analysis." (Oleg K. Zakusilo, zbMATH 1396.60003, 2018)

Erscheinungsdatum	29.04.2018
Zusatzinfo	XIX, 163 p. 19 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	444 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	bivariate normal • continuous distributions • discrete distributions • left truncated normal • parameter estimates • partial expectation • Poisson • right truncated normal • standard normal • truncated normal spread ratio • Weibull
ISBN-10	3-319-76041-6 / 3319760416
ISBN-13	978-3-319-76041-4 / 9783319760414
Zustand	Neuware