000 | 05385cam a22002898a 4500 | ||
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005 | 20230526151115.0 | ||
008 | 091027s2010 cau 000 0 eng | ||
011 | _aBIB MATCHES WORLDCAT | ||
020 | _a9780534386719 | ||
035 | _a(ATU)b11599273 | ||
035 | _a(OCoLC)316432120 | ||
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_aUKM _cUKM _dYYP _dYDXCP _dOCoLC _dATU |
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082 | 0 | 4 |
_a519.2 _222 |
100 | 1 |
_aScheaffer, Richard L. _91040361 |
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245 | 1 | 0 | _aIntroduction to probability and its applications. |
250 |
_aThird edition / _bRichard L. Scheaffer, Linda Young. |
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264 | 1 |
_aPacific Grove, Calif. : _bBrooks/Cole ; _aLondon : _bCengage Learning [distributor], _c[2010] |
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264 | 4 | _c©2010 | |
300 |
_ax, 470 p. : _bill. ; _c24 cm. |
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500 | _aPrevious ed.: Belmont, Calif.: Duxbury, 1995. | ||
500 | _a"Advanced series"--cover. | ||
504 | _aIncludes bibliographical references and index. | ||
505 | 0 | 0 |
_g1. _tProbability in the World Around Us -- _tWhy Study Probability? -- _tDeterministic and Probabilistic Models -- _tModeling Reality -- _tDeterministic Models -- _tProbabilistic Models -- _tApplications in Probability -- _tA Brief Historical Note -- _tA Look Ahead -- _g2. _tFoundations of Probability -- _tUnderstanding Randomness: An Intuitive Notion of Probability -- _tRandomness with Known Structure -- _tRandomness with Unknown Structure -- _tSampling a Finite Universe -- _tSample Space and Events -- _tDefinition of Probability -- _tCounting Rules Useful in Probability -- _tMore Counting Rules Useful in Probability -- _tSummary -- _g3. _tConditional Probability and Independence -- _tConditional Probability -- _tIndependence -- _tTheorem of Total Probability and Bayes' Rule -- _tOdds, Odds Ratios, and Relative Risk -- _tSummary -- _g4. _tDiscrete Probability Distributions -- _tRandom Variables and Their Probability Distributions -- _tExpected Values of Random Variables -- _tThe Bernoulli Distribution -- _tThe Binomial Distribution -- _tProbability Function -- _tMean and Variance -- _tHistory and Applications -- _tThe Geometric Distribution -- _tProbability Function -- _tMean and Variance -- _tAn Alternate Parameterization: Number of Trials Versus Number of Failures -- _tThe Negative Binomial Distribution -- _tProbability Function -- _tMean and Variance -- _tAn Alternate Parameterization: Number of Trials Versus Number of Failures -- _tHistory and Applications -- _tThe Poisson Distribution -- _tProbability Function -- _tMean and Variance -- _tHistory and Applications -- _tThe Hypergeometric Distribution -- _tThe Probability Function -- _tMean and Variance -- _tHistory and Applications -- _tThe Moment-generating Function -- _tThe Probability-generating Function -- _tMarkov Chains -- _tSummary -- _g5. _tContinuous Probability Distributions -- _tContinuous Random Variables and Their Probability Distributions -- _tExpected Values of Continuous Random Variables -- _tThe Uniform Distribution -- _tProbability Density Function -- _tMean and Variance -- _tHistory and Applications -- _tThe Exponential Distribution -- _tProbability Density Function -- _tMean and Variance -- _tProperties -- _tHistory and Applications -- _tThe Gamma Distribution -- _tProbability Density Function -- _tMean and Variance -- _tHistory and Applications -- _tThe Normal Distribution -- _tThe Normal Probability Density Function -- _tMean and Variance -- _tCalculating Normal Probabilities -- _tApplications to Real Data -- _tQuantile-Quantile (Q-Q) Plots -- _tHistory -- _tThe Beta Distribution -- _tProbability Density Function -- _tMean and Variance -- _tH istory and Applications -- _tThe Weibull Distribution -- _tProbability Density Function -- _tMean and Variance -- _tHistory and Applications to Real Data -- _tReliability -- _tHazard Rate Function -- _tSeries and Parallel Systems -- _tRedundancy -- _tMoment-generating Functions for Continuous Random Variables -- _tExpectations of Discontinuous Functions and Mixed Probability Distributions -- _tSummary -- _g6. _tMultivariate Probability Distributions -- _tBivariate and Marginal Probability Distributions -- _tConditional Probability Distributions -- _tIndependent Random Variables -- _tExpected Values of Functions of Random Variables -- _tConditional Expectations -- _tThe Multinomial Distribution -- _tMore on the Moment-Generating Function -- _tCompounding and Its Applications -- _tSummary -- _g7. _tFunctions of Random Variables -- _tIntroduction -- _tFunctions of Discrete Random Variables -- _tMethod of Distribution Functions -- _tMethod of Transformations in One Dimension -- _tMethod of Conditioning -- _tMethod of Moment-Generating Functions -- _tGamma Case -- _tNormal Case -- _tNormal and Gamma Relationships -- _tMethod of Transformation - Two Dimensions -- _tOrder Statistics -- _tProbability-Generating Functions: Applications to Random Sums of Random Variables -- _tSummary -- _g8. _tSome Approximations To Probability Distributions: Limit Theorems -- _tIntroduction -- _tConvergence in Probability -- _tConvergence in Distribution -- _tThe Central Limit Theorem -- _tCombination of Convergence in Probability and Convergence in Distribution -- _tSummary -- _g9. _tExtensions of Probability Theory -- _tThe Poisson Process -- _tBirth and Death Processes: Biological Applications -- _tQueues: Engineering Applications -- _tArrival Times for the Poisson Process -- _tInfinite Server Queue -- _tRenewal Theory: Reliability Applications -- _tSummary. |
650 | 0 |
_aProbabilities. _9322771 |
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700 | 1 |
_aYoung, Linda J., _d1952- _9445559 |
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942 | _cB | ||
999 |
_c1202740 _d1202740 |