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9780470184011

Probably Not Future Prediction Using Probability and Statistical Inference

by
  • ISBN13:

    9780470184011

  • ISBN10:

    0470184019

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2008-04-18
  • Publisher: Wiley-Interscience

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Summary

Probably Not is organized around easy-to-follow examples that address the role of probability and statistics in real-life situations. Fun-to-solve problems including "the shared birthday" and "the prize behind door number one, two, or three" are found throughout the book, which allow readers to test and practice their new probability skills. Requiring little background knowledge of mathematics, readers will gain a greater understanding of the everyday activities that involve random processes and statistics.

Author Biography

Lawrence N. Dworsky, PhD, is a former corporate research lab director at Motorola, Inc., where he was also a member of the Science Advisory Board. He has also served as a consultant to the Defense Advanced Research Projects Agency (DARPA), Littelfuse Corp., and HRL Laboratories, LLC. A Fellow of the Institute of Electrical and Electronic Engineers, Dr. Dworsky has held academic positions at Columbia University, Northern Illinois University, and Florida Atlantic University.

Table of Contents

Prefacep. xi
An Introduction to Probabilityp. 1
Predicting the Futurep. 1
Rule Makingp. 3
Random Events and Probabilityp. 5
The Lottery {Very Improbable Events and Large Data Sets}p. 10
Coin Flipping {Fair Games, Looking Backwards for Insight}p. 13
The Coin Flip Strategy that Can't Losep. 19
The Prize Behind the Door {Looking Backwards for Insight, Again}p. 20
The Checkerboard {Dealing with Only Part of the Data Set}p. 22
Probability Distribution Functions and Some Basicsp. 27
The Probability Distribution Functionp. 27
Averages and Weighted Averagesp. 32
Expected Valuesp. 35
The Basic Coin Flip Gamep. 37
The Standard Deviationp. 40
The Cumulative Distribution Functionp. 48
The Confidence Intervalp. 49
Final Pointsp. 50
Building a Bellp. 54
Random Walksp. 67
The One-Dimensional Random Walkp. 67
What Probability Really Meansp. 75
Diffusionp. 77
Life Insurance and Social Securityp. 82
Insurance as Gamblingp. 83
Life Tablesp. 85
Birth Rates and Population Stabilityp. 90
Life Tables, Againp. 91
Premiumsp. 94
Social Security-Sooner or Later?p. 98
Binomial Probabilitiesp. 104
The Binomial Probability Formulap. 105
Permutations and Combinationsp. 107
Large Number Approximationsp. 109
The Poisson Distributionp. 112
Disease Clustersp. 114
Clustersp. 114
Pseudorandom Numbers and Monte Carlo Simulationsp. 117
Pseudorandom Numbersp. 118
The Middle Square PSNGp. 119
The Linear Congruential PSNGp. 121
A Normal Distribution Generatorp. 122
An Arbitrary Distribution Generatorp. 124
Monte Carlo Simulationsp. 126
A League of Our Ownp. 132
Some Gambling Games in Detailp. 136
The Basic Coin Flip Gamep. 136
The Gantt Chartp. 142
The "Ultimate Winning Strategy"p. 144
The Game Showp. 150
Parimutuel Bettingp. 154
Traffic Lights and Trafficp. 158
Outsmarting a Traffic Light?p. 159
Many Lights and Many Carsp. 164
Simulating Traffic Flowp. 164
Simulation Resultsp. 167
Combined and Conditional Probabilitiesp. 178
Functional Notationp. 178
Conditional Probabilityp. 183
Medical Test Resultsp. 186
The Shared Birthday Problemp. 189
Scheduling and Waitingp. 192
Scheduling Appointments in the Doctor's Officep. 193
Lunch with a Friendp. 199
Waiting for a Busp. 204
Stock Market Portfoliosp. 208
Benford, Parrondo, and Simpsonp. 215
Benford's Lawp. 215
Parrondo's Paradoxp. 221
Simpson's Paradoxp. 228
Networks, Infectious Disease Propagation, and Chain Lettersp. 234
Degrees of Separationp. 235
Propagation Along the Networksp. 238
Some Other Uses of Networksp. 242
Neighborhood Chainsp. 249
Bird Countingp. 253
A Walk in the Woodsp. 253
A Model of Bird Flying Habitsp. 254
Spotting a Birdp. 259
Putting It All Togetherp. 261
Statistical Mechanics and Heatp. 267
Statistical Mechanicsp. 268
Thermodynamicsp. 276
Introduction to Statistical Analysisp. 280
Samplingp. 281
Sample Distributions and Standard Deviationsp. 283
Estimating Population Average from a Samplep. 285
The Student T Distributionp. 288
Polling Statisticsp. 290
Did a Sample Come from a Given Population?p. 291
Chaos and Quantap. 293
Chaosp. 293
Probability in Quantum Mechanicsp. 301
Indexp. 307
Table of Contents provided by Ingram. All Rights Reserved.

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