StatisticsAndProbability.md (5048B)
1 # Statistics and Probability 2 3 Links to Stats Notes 4 5 ## Questions I would like to answer 6 7 1. How do I create linear regression models with formulas and why does it work? 8 9 ## Main Links 10 11 Probability and Statistical Inference Hogg, Tanis 12 13 Chapter 1.1: 14 15 - [SampleSpace](SampleSpace.md) 16 - [StatisticalInference](StatisticalInference.md) 17 - [Frequency](Frequency.md) 18 - [RelativeFrequency](RelativeFrequency.md) 19 - [ProbabilityMassFunction](ProbabilityMassFunction.md) 20 - [SimpsonsParadox](SimpsonsParadox.md) 21 - [RandomExperiment](RandomExperiment.md) 22 - [RandomVariables](RandomVariables.md) 23 24 Chapter 1.2: 25 26 - [Event](Event.md) 27 - [SetFunction](SetFunction.md) 28 29 Chapter 1.3: 30 31 - [Permutation](Permutation.md) 32 - [Binomial Coefficient](BinomialCoefficient.md) 33 - [Ordered Sample](OrderedSample.md) 34 - [Binomial](Binomial.md) 35 - [Distinguishable Permutation](DistinguishablePermutation.md) 36 - [Multinomial Coefficient](MultinomialCoefficient.md) 37 38 Chapter 1.4: 39 40 - [Conditional Probability](ConditionalProbability.md) 41 42 Chapter 1.5: 43 44 - [Independent Events](IndependentEvents.md) 45 - [Pairwise Independence](PairwiseIndependence.md) 46 - [Mutually Independent](MutuallyIndependent.md) 47 48 Chapter 1.6: 49 50 - [Bayes Theroem](BayesTheorem.md) 51 - [Prior Probability](PriorProbability.md) 52 - [Posterior Probability](PosteriorProbability.md) 53 54 Chapter 2.1: 55 56 - [Random Variables](RandomVariables.md) 57 - [Probability Mass Function](ProbabilityMassFunction.md) 58 - [Discrete Random Variable](DiscreteRandomVariable.md) 59 60 --- 61 62 - [Probability](Probability.md) 63 - [Set Function](SetFunction.md) 64 - [Monotonic Function](MonotonicFunction.md) 65 - [Probability Density Functions](ProbabilityDensityFunctions.md) 66 - [Binomial Distribution](BinomialDistribution.md) 67 - [Poisson Distribution](PoissonDistribution.md) 68 - [Exponential Distribution](ExponentialDistribution.md) 69 - [Normal Distribution](NormalDistribution.md) 70 - [Variance](Variance.md) 71 - [Conditional Probabilities](ConditionalProbabilities.md) 72 - [Joint Probability](JointProbability.md) 73 - [Marginal Probabilities](MarginalProbabilities.md) 74 - [Covariance](Covariance.md) 75 - [Correlation](Correlation.md) 76 - [Quantile](Quantile.md) 77 - [Exploratory Data Analysis](ExploratoryDataAnalysis.md) 78 - [Density Estimation](DensityEstimation.md) 79 - [Bandwidth](Bandwidth.md) 80 - [Oversmoothing](Oversmoothing.md) 81 - [Undersmoothing](Undersmoothing.md) 82 - [Box Plots](Boxplots.md) 83 - [Crosstabulation](Crosstabulation.md) 84 - [Mosaic Plot](MosaicPlot.md) 85 - [Bayesian Inference](BayesianInference.md) 86 - [Individuals](Individuals.md) 87 - [Variables](Variables.md) 88 - [Pictograph](Pictograph.md) 89 - [Stem And Leaf Plot](StemAndLeafPlot.md) 90 - [Percentile](Percentile.md) 91 - [Cumulative Relative Frequency](CumulativeRelativeFrequency.md) 92 - [IQR](IQR.md) 93 94 PSA&AP MIT: 95 96 L1: 97 98 - [Sample Space](SampleSpace.md) 99 - [Complement](Complement.md) 100 - [Discrete Uniform Law](DiscreteUniformLaw.md) 101 - [Universal Set](UniversalSet.md) 102 - [Disjoint Set](DisjointSet.md) 103 - [Probability Law](ProbabilityLaw.md) 104 105 L2: 106 107 - [Conditional Probabilities](ConditionalProbabilities.md) 108 - [Bayes Theorem](BayesTheorem.md) 109 - [Total Probability Theorem](TotalProbabilityTheorem.md) 110 - [Conditional Probability Theorem](ConditionalProbabilityTheorem.md) 111 112 L3: 113 114 - [Independence](Independence.md) 115 116 L4: 117 118 - [Binomial Coefficient](BinomialCoefficient.md) 119 120 L5: 121 122 - [Random Variables](RandomVariables.md) 123 - [Probability Mass Function](ProbabilityMassFunction.md) 124 125 L6: 126 127 - [Probability Mass Function](ProbabilityMassFunction.md) 128 - [Expectation](Expectation.md) 129 - [Variance](Variance.md) 130 - [Standard Deviation](StandardDeviation.md) 131 - [Joint Probability](JointProbability.md) 132 133 L7: 134 135 - Review 136 137 L8: 138 139 - [Probability Mass Function](ProbabilityMassFunction.md) 140 - [Probability Density Functions](ProbabilityDensityFunctions.md) 141 - [Standardization](Standardization.md) 142 - [Cumulative Density Function](CumulativeDensityFunction.md) 143 - [Mixed Random Variable](MixedRandomVariable.md) 144 - [Normal Distribution](NormalDistribution.md) 145 - [Bernoulli Random Variable](BernoulliRandomVariable.md) 146 147 L9: 148 149 - [Joint Density Function](JointDensityFunction.md) 150 151 L10: 152 153 - [Derived Distribution](DerivedDistribution.md) 154 155 L11: 156 157 - [Covariance](Covariance.md) 158 - [Correlation Coefficient](CorrelationCoefficient.md) 159 160 L12: 161 162 - [Iterated Expectations](IteratedExpectations.md) 163 164 L13: 165 166 - [Bernoulli Process](BernoulliProcess.md) - Discrete memoryless 167 - [Markov Chains](MarkovChains.md) - Discrete remembers 168 - [Poisson Process](PoissonProcess.md) - Continuous memoryless 169 170 L14: 171 172 - [Poisson Process](PoissonProcess.md) 173 - [Bernoulli Process](BernoulliProcess.md) 174 175 L15: 176 177 - Skipped this as it was Poisson part 2 178 179 L16: 180 181 - [Markov Chains](MarkovChains.md) 182 - [Markov Process](MarkovProcess.md) 183 184 L17: 185 186 - [Markov Chains](MarkovChains.md) 187 - [Periodic Chain](PeriodicChain.md) 188 189 L18: 190 191 - Skipped Markov part 3 192 193 L19: 194 195 - [Law Of Large Numbers](LawOfLargeNumbers.md) 196 - [Regression To The Mean](RegressionToTheMean.md) 197 - [Markov Inequality](MarkovInequality.md) 198 199 L20: 200 201 - [Central Limit Theorem](CentralLimitTheorem.md)