User:Ansa211/Books/Probability and Statistics

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Probability and Statistics[edit]

List of statistics articles
Intro: Statistics; Mathematical statistics; Random variable; Stochastic process; Design of experiments
Probability theory: Probability theory; Probability; Bayes' theorem; Probability distribution; Probability mass function; Probability density function; Cumulative distribution function; Multivariate random variable; Joint probability distribution; Independence (probability theory); Independent events; Statistical model; Characteristic function (probability theory)
Descriptive statistics: Descriptive statistics; Outlier; Location parameter; Median; Mode (statistics); Expected value; Mean; Quantile function; Statistical dispersion; Central tendency; Skewness; Variance; Standard deviation; Covariance; Covariance matrix; Sample mean and sample covariance; Kurtosis; Pearson product-moment correlation coefficient; Correlation and dependence; Error and residuals; Errors and residuals in statistics
Discrete distributions: Discrete probability distribution; Discrete uniform distribution; Poisson distribution; Bernoulli distribution; Binomial distribution; Geometric distribution; Negative binomial distribution
Continuous distributions: Continuous probability distribution; Uniform distribution (continuous); Normal distribution; Central limit theorem; Law of large numbers; Exponential distribution; Degrees of freedom (statistics); Chi-squared distribution; Student's t-distribution; Noncentral t-distribution; F-distribution; Multivariate normal distribution; Wilks' lambda distribution; Log-normal distribution; Cauchy distribution; Beta distribution; Gamma distribution
Other distributions: Singular distribution; Cantor distribution
Estimation: Statistical population; Sample (statistics); Sampling (statistics); Sufficient statistic; Independent and identically distributed random variables; Estimation theory; Estimator; Maximum likelihood; Consistent estimator; Bias of an estimator; Robust statistics
Confidence intervals: Confidence interval; Binomial proportion confidence interval
Inference: Statistical inference; Frequentist inference; Statistical hypothesis testing; Statistic; Null hypothesis; Alternative hypothesis; Statistical significance; Type I and type II errors; P-value; Statistical power; Test statistic; Standard error; Homoscedasticity; Sample size determination
Null Hypothesis Significance Tests: Z-test; Student's t-test; Paired difference test; Welch's t test; Wilcoxon signed-rank test; Sign test; F-test
Analysis of variance: Analysis of variance; One-way analysis of variance; Two-way analysis of variance
Bayesian approach: Bayesian probability; Bayesian statistics; Bayesian inference; Prior probability; Posterior probability; Marginal distribution
Data analysis: Linear regression; Regression analysis; General linear model; Generalized linear model; Likelihood function; Coefficient of determination
Time Series Analysis: Time Series; Decomposition of time series; Seasonality; Box–Jenkins methodology; Stationary process; White noise; Autocorrelation; Partial autocorrelation; Correlogram; Lag operator; Autoregressive (AR) model; Moving average (MA) model; Autoregressive moving average (ARMA) model; Autoregressive integrated moving average (ARIMA) model; Autoregressive conditional heteroskedasticity (ARCH) model; Durbin–Watson statistic; Breusch–Godfrey test
Other: Monte Carlo method
Statisticians: Ronald Fisher; Karl Pearson