Topics: probability models, Conditional Probability, Venn diagram, Random Variables, Discrete Distributions, Continuous Distributions, Cumulative Distribution Functions, Joint Distributions, Simulating Probability Distributions, expectation, Inequalities, Jensen’s Inequality, Sampling Distributions, Limits, Central Limit Theorem, Monte Carlo Approximations, Normal Distribution Theory, Chi-Squared Distribution, Statistical Inference, statistical model, Data Collection, Finite Populations, Simple Random Sampling, Histograms, Survey Sampling, Descriptive Statistics, Plotting Data, Likelihood Inference, Maximum Likelihood Estimation, Distribution-Free Methods, Bayesian Inference, Bayesian Computations, Optimal Inferences, Optimal Unbiased Estimation, Optimal Hypothesis Testing, quantitative response, Simple Linear Regression Model, Bayesian Simple Linear Model, Multiple Linear Regression Model, Markov Chains, Gambler’s Ruin Problem, Markov Chain Monte Carlo, Martingales, Brownian Motion, Poisson Processes

Topics: probability theory, probability, Binomial distribution, normal distribution, continous distribution, sampling distributions, statistical inference

Topics: Generalized Linear Models, dilution assay, probit analysis, logit models, log-linear models, inverse polynomical, survival data, model fittinf, residuals, pearson residual, Anscombe residual, deviance residual, error structure, systemic component, aliasing, estimation, tables, binary data, binomial distribution, over-dispersion, measurement scales, multinomial distribution, likelihood functions, log-linear models, multiple responses, conditional likelihoods, hypergeometric distributions, Gamma distribution, Quasi-likelihood functions, dependent observations, optimal estimating functions, optimality criteria, model checking, survival data, dispersion

Topics: Number, algebra, area, volume, trignometry, graph, complex number, vector, statistics, differential calculus, integral calculus, differential equation, irregular area, Trigonometric waveforms, Cartesian co-ordinates, polar co-ordinates, compund angles, straight line graphs, De Moivre’s theorem, mean, median, mode, standard deviation, probability, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Maclaurin’s series, implicit functions, Logarithmic differentiation, Standard integration, Integration by parts, partial fraction, Numerical integration, Mean square value, root mean square value, centroid

Topics: Bernoulli trials, Poisson Random Variable, Poisson Process, Geometric distribution, Negative Binomial, Hypergeometric random variables, Exponential Random Variables, Gamma Random Variable, Multivariate normal, Mixture models

Topics: statistics, single-variable data, bivariate data, probability, probability distributions, discrete variables, normal probability distributions, sample variability, statistical inference, Chi-square, analysis of variance, linear correlation, regression analysis, nonparametric statistics, data collection, measurability, variability, measure of central tendency, linear correlation, linear regression, random variables, Binomial probability distribution, normal probability distributions, notation, sampling distributions, inferential statistics, Chi-square statistic, ANOVA, linear correlation analysis, linear regression analysis

Topics: Statistics, measures of variation, bivariate data, probability, Bayes theorem, Probability distributions, random variables, binomial distribution, normal distribution, inference, regression analysis, simple linear regression analysis, Multiple Linear Regression, analysis of variance, ANOVA, nonparametric inference

Topics: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

Topics: variables, graphs, frequency distribution, mean, median, mode, central tendency, standard deviation, moments, skweness, kurtosis, probability, Binomian distribution, Poisson distribution, Normal distribution, sampling theory, statistical estimation theory, statistical estimation theory, small sampling theory, Chi-square test, curve fitting, method of least squares, analysis of variance, nonparametric test, statistical process, control, process capability

Topics: Cumulative normal distribution, Critical values of the t distribution, Critical values of the F distribution, Critical values of the chi-squared distribution