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# [统计套利] CRC standard probability and statistics tables and formulae [分享]

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wakacheung 发表于 2017-3-19 08:59:02 |显示全部楼层 CRC standard probability and statistics tables and formulae.pdf (9.12 MB, 售价: 6 个论坛币) 2017-3-19 08:41:11 上传 售价: 6 个论坛币 PDF 高清晰文字版 带索引书签 Contents 1 Introduction 1.1 Background 1.2 Data sets 1.3 References 2 Summarizing Data 2.1 Tabular and graphical procedures 2.2 Numerical summary measures 3 Probability 3.1 Algebra of sets 3.2 Combinatorial methods 3.3 Probability 3.4 Random variables 3.5 Mathematical expectation 3.6 Multivariate distributions 3.7 Inequalities 4 Functions of Random Variables 4.1 Finding the probability distribution 4.2 Sums of random variables 4.3 Sampling distributions 4.4 Finite population 4.5 Theorems 4.6 Order statistics 4.7 Range and studentized range 5 Discrete Probability Distributions 5.1 Bernoulli distribution 5.2 Beta binomial distribution 5.3 Beta Pascal distribution 5.4 Binomial distribution 5.5 Geometric distribution 5.6 Hypergeometric distribution 5.7 Multinomial distribution 5.8 Negative binomial distribution 5.9 Poisson distribution 5.10 Rectangular (discrete uniform) distribution 6 Continuous Probability Distributions 6.1 Arcsin distribution 6.2 Beta distribution 6.3 Cauchy distribution 6.4 Chi–square distribution 6.5 Erlang distribution 6.6 Exponential distribution 6.7 Extreme–value distribution 6.8 F distribution 6.9 Gamma distribution 6.10 Half–normal distribution 6.11 Inverse Gaussian (Wald) distribution 6.12 Laplace distribution 6.13 Logistic distribution 6.14 Lognormal distribution 6.15 Noncentral chi–square distribution 6.16 Noncentral F distribution 6.17 Noncentral t distribution 6.18 Normal distribution 6.19 Normal distribution: multivariate 6.20 Pareto distribution 6.21 Power function distribution 6.22 Rayleigh distribution 6.23 t distribution 6.24 Triangular distribution 6.25 Uniformdistributio n 6.26 Weibull distribution 6.27 Relationships among distributions 7 Standard Normal Distribution 7.1 Density function and related functions 7.2 Critical values 7.3 Tolerance factors for normal distributions 7.4 Operating characteristic curves 7.5 Multivariate normal distribution 7.6 Distribution of the correlation coefficient 7.7 Circular normal probabilities 7.8 Circular error probabilities 8 Estimation 8.1 Definitions 8.2 Cram′er–Rao inequality 8.3 Theorems 8.4 The method of moments 8.5 The likelihood function 8.6 The method of maximum likelihood 8.7 Invariance property of MLEs 8.8 Different estimators 8.9 Estimators for small samples 8.10 Estimators for large samples 9 Confidence Intervals 9.1 Definitions 9.2 Common critical values 9.3 Sample size calculations 9.4 Summary of common confidence intervals 9.5 Confidence intervals: one sample 9.6 Confidence intervals: two samples 9.7 Finite population correction factor 10 Hypothesis Testing 10.1 Introduction 10.2 The Neyman–Pearson lemma 10.3 Likelihood ratio tests 10.4 Goodness of fit test 10.5 Contingency tables 10.6 Bartlett’s test 10.7 Cochran’s test 10.8 Number of observations required 10.9 Critical values for testing outliers 10.10 Significance test in 2×2 contingency tables 10.11 Determining values in Bernoulli trials 11 Regression Analysis 11.1 Simple linear regression 11.2 Multiple linear regression 11.3 Orthogonal polynomials 12 Analysis of Variance 12.1 One-way anova 12.2 Two-way anova 12.3 Three-factor experiments 12.4 Manova 12.5 Factor analysis 12.6 Latin square design 13 Experimental Design 13.1 Latin squares 13.2 Graeco–Latin squares 13.3 Block designs 13.4 Factorial experimentation: 2 factors 13.5 2r Factorial experiments 13.6 Confounding in 2n factorial experiments 13.7 Tables for design of experiments 13.8 References 14 Nonparametric Statistics 14.1 Friedman test for randomized block design 14.2 Kendall’s rank correlation coefficient 14.3 Kolmogorov–Smirnoff tests 14.4 Kruskal–Wallis test 14.5 The runs test 14.6 The sign test 14.7 Spearman’s rank correlation coefficient 14.8 Wilcoxon matched-pairs signed-ranks test 14.9 Wilcoxon rank–sum(Mann–Whitney ) test 14.10 Wilcoxon signed-rank test 15 Quality Control and Risk Analysis 15.1 Quality assurance 15.2 Acceptance sampling 15.3 Reliability 15.4 Risk analysis and decision rules 16 General Linear Models 16.1 Notation 16.2 The general linear model 16.3 Summary of rules for matrix operations 16.4 Quadratic forms 16.5 General linear hypothesis of full rank 16.6 General linear model of less than full rank 17 Miscellaneous Topics 17.1 Geometric probability 17.2 Information and communication theory 17.3 Kalman filtering 17.4 Large deviations (theory of rare events) 17.5 Markov chains 17.6 Martingales 17.7 Measure theoretical probability 17.8 Monte Carlo integration techniques 17.9 Queuing theory 17.10 Random matrix eigenvalues 17.11 Random number generation 17.12 Resampling methods 17.13 Self-similar processes 17.14 Signal processing 17.15 Stochastic calculus 17.16 Classic and interesting problems 17.17 Electronic resources 17.18 Tables 18 Special Functions 18.1 Bessel functions 18.2 Beta function 18.3 Ceiling and floor functions 18.4 Delta function 18.5 Error functions 18.6 Exponential function 18.7 Factorials and Pochhammer’s symbol 18.8 Gamma function 18.9 Hypergeometric functions 18.10 Logarithmic functions 18.11 Partitions 18.12 Signumfunctio n 18.13 Stirling numbers 18.14 Sums of powers of integers 18.15 Tables of orthogonal polynomials 18.16 References Notation .custom_tag{background:none; padding-left:0;} .custom_tag a{text-decoration:none; margin-right:7px; display:inline-block;} .custom_tag a:hover{text-decoration:underline;} .custom_tag i{display: none;width: 60px;}

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 谢谢分享

solomen313 发表于 2017-4-20 13:39:52 |显示全部楼层
 感谢楼主分享好资料！

Enthuse 发表于 2017-5-6 04:29:28 |显示全部楼层
 thanks ..

atwoodcloyd 发表于 2018-7-31 22:26:41 |显示全部楼层
 感谢分享，书本里对于很多散乱的概率计算总结得非常有条理

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