Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and ScienceSpringer Science & Business Media, 6 ¸.¤. 2012 - 509 ˹éÒ The present book is based on a course developed as partofthe large NSF-funded GatewayCoalitionInitiativeinEngineeringEducationwhichincludedCaseWest ern Reserve University, Columbia University, Cooper Union, Drexel University, Florida International University, New Jersey Institute ofTechnology, Ohio State University, University ofPennsylvania, Polytechnic University, and Universityof South Carolina. The Coalition aimed to restructure the engineering curriculum by incorporating the latest technological innovations and tried to attract more and betterstudents to engineering and science. Draftsofthis textbookhave been used since 1992instatisticscoursestaughtatCWRU, IndianaUniversity, Bloomington, and at the universities in Gottingen, Germany, and Grenoble, France. Another purpose of this project was to develop a courseware that would take advantage ofthe Electronic Learning Environment created by CWRUnet-the all fiber-optic Case Western Reserve University computer network, and its ability to let students run Mathematica experiments and projects in their dormitory rooms, and interactpaperlessly with the instructor. Theoretically, onecould try togothroughthisbook withoutdoing Mathematica experimentsonthecomputer, butitwouldbelikeplayingChopin's Piano Concerto in E-minor, or Pink Floyd's The Wall, on an accordion. One would get an idea ofwhatthe tune was without everexperiencing the full richness andpowerofthe entire composition, and the whole ambience would be miscued. |
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5 | 21 |
9 | 27 |
Data Representation and Compression | 58 |
Analytic Representation of Random Experimental Data | 119 |
Algorithmic Complexity and Random Strings | 203 |
Statistical Independence and Kolmogorovs Probability Theory | 243 |
How Uncertainty Arises in Scientific | 293 |
General Principles of Statistical Analysis | 367 |
4 | 384 |
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Introductory Statistics and Random Phenomena: Uncertainty, Complexity and ... Manfred Denker,Wojbor Woyczynski ªÁºÒ§Êèǹ¢Í§Ë¹Ñ§Ê×Í - 1998 |
Introductory Statistics and Random Phenomena: Uncertainty, Complexity and ... Manfred Denker,Wojbor Woyczynski ªÁºÒ§Êèǹ¢Í§Ë¹Ñ§Ê×Í - 2017 |
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algorithm analysis ANOVA AspectRatio->1 Bernoulli Bibliographical Notes binary strings binomial calculate called Cantor set Central Limit Theorem Chapter complexity confidence interval consider correlation dimension cumulative d.f. cumulative distribution function data set defined degrees of freedom density dimension discrete DrawSegments dynamical system entropy equations ergodic estimator Example experimental exponential finite formula fractal Fx(x Gaussian graph Graphics histogram hypothesis independent random variables integral invariant measure iterations Kolmogorov Kolmogorov complexity Laplace transform Large Numbers Law of Large linear listofdata listofzeroones ListPlot Mathematica Experiment mathematical normal distribution orbit package parameter plot probability distribution pseudorandom pseudorandom number Q-Q plot quantile function random quantity random sample random vector real numbers regression relative frequency sample mean sample points SamplePlot2D Section selected sequence significance level simulated Statistics ContinuousDistributions Table Random trajectories unit interval UVW'DataRep values variance zero