### Books related to PROBABILITY 4

Probability and Statistics, The Science of Uncertainty, 2nd Edition

**Author:** Michael Evans, Jeffrey Rosenthal

**School:** Federal University of Technology, Owerri

**Department:** Science and Technology

**Course Code:** STA301

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

Probability 2

**Author:** GN Amahia

**School:** University of Ibadan

**Department:** Science and Technology

**Course Code:** STA211

Topics: Probability, Permutations, Combinations, probability laws, conditional Probability, independence rule, Bayes rule, random variables, Chebyshev's inequality, Bernoulli distribution, Binomial Probability distribution, Negative binomial distribution, geometric distribution, Poisson distribution, hypergeometric distribution, uniform distribution, rectangular distribution, normal distribution, Joint marginal distribution, conditional distribution, Gamma distribution, Chi-square distribution

Probability Theory, 2nd edition

**Author:** Achim Klenke

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** STA121, STA221, ACC401, BUS426, ECN104, ECN207, MEE442, PHY432, AEF204

Topics: measure theory, independence, integral, moments, laws of large numbers, convergence theorem, Lp-Spaces, Radon–Nikodym Theorem, Conditional Expectations, martingale, optional sampling theorem, Martingale Convergence Theorem, Backwards Martingale, exchangeability, De Finetti's theorem, convergence of measures, Characteristic Function, Central Limit Theorem, Infinitely Divisible Distribution, markov chains, Electrical Network, Ergodic Theory, Brownian motion, iterated logarithm, large deviations, Poisson point process, Itô Integral, Stochastic Differential Equations

Intuitive Probability and Random Processes Using MATLAB

**Author:** Steven Kay

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** MAT214, MAT335, PHY416, ELE576

Topics: computer simulation, probability, conditional probability, discrete random variables, conditional probability, mass functions, Discrete N-Dimensional Random Variables, Conditional Probability Density Functions, Continuous N-Dimensional Random Variables, Moment Approximations, limit theorem, MATLAB, random process, Wide Sense Stationary Random
Process, linear system, Gaussian Random Process, Poisson Random Process, markov chains

Foundations of Mathematical Analysis

**Author:** CE Chidume, Chukwudi Chidume

**School:** Federal University of Technology, Owerri

**Department:** Science and Technology

**Course Code:** MTH301

Topics: real number system, order relation, natural numbers, countable sets, uncountable sets, bounded sets, limits, Monotone Sequences, Sandwich Theorem, limit theorems, Bolzano-Weierstrass Theorem, Limit Superior, Limit Inferior, Cauchy Sequences, continuity, topological notions, One-sided Continuity, Continuity Theorems, Uniform Continuity, Uniform Continuity Theorems, closed sets, compact sets, continuous maps, differentiability, derivative, Rolle’s Theorem, Mean Value Theorem, L’Hospital’s Rule, Nonnegative Real Numbers series, Integral Test, Comparison Test, Limit Comparison Test, Cauchy’s Root Test, D’Alembert’s Ratio Test, Alternating Series, Absolute Convergence, Conditional Convergence, Riemann Integral, Integration, Uniform convergence, Power Series, Equicontinuity, Arzela-Ascoli Theorem

Modern elementary statistics ,12th edition

**Author:** John Freund, Benjamin Perles

**School:** University of Ibadan

**Department:** Science and Technology

**Course Code:** STA121

Topics: statistics, summarizing data, listing, grouping, Numerical data, Stem-and-Leaf Displays, frequency distribution, graphical presentations, Summarizing Two-Variable Data, population, sample, mean, weighted mean, median, mode, grouped data, measures of variation, range, standard deviation, variance, posibility, probability, counting, permutation, combination, sample spaces, events, odds, conditional probability, multiplication rules, Bayes theorem, Mathematical Expectation, expectation, decision, decision making, Statistical Decision Problems, Random Variable, probability distributions, binomial distributions, hypergeometric distributions, Poisson distribution, Multinomial distribution, Mean of a Probability Distribution, Standard Deviation of a Probability
Distribution, normal distribution, Continuous Distributions, sampling, random sampling, sample designs, systematic sampling, stratified sampling, cluster sampling, sampling distribuions, central limit theorem, estimation, Tests of Hypotheses, Significance Tests, One-Way Analysis of Variance, analysis of variance, Multiple Comparisons, Two-Way Analysis of Variance, Design of Experiments, Design of Experiments, regression, Curve Fitting, Regression Analysis, Multiple Regression, Nonlinear Regression, Coefficient of Correlation, correlation, Correlation Analysis, Multiple Correlation, Partial Correlation, Nonparametric tests, sign test, signed-rank test, U test, H test, Tests of Randomness, Rank Correlation

Introduction to probability and distribution lecture note 2

**Author:** Favour

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** STA124

Topics: mean of random variable, variance of random variable, continuous random variable, probability density function, probability distribution function, mean continuous of random variable, variance continuous of random variable, discrete distribution, Bernoulli distribution, binomial distribution, Poisson distribution, geometric distribution, uniform distribution, continuous distribution, normal distribution, cumulative distribution function, Bivariate probability distribution, conditional probability distribution function

Gaussian Probability Distribution

**Author:** KK Gan

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** STA124

Topics: Gaussian Probability Distribution, Binomial distribution, Poisson distribution, Central Limit Theorem

Schaum's Outline of Probability and Statistics, Fourth Edition

**Author:** John Schiller, Alu Srinivasan, Murray Spiegel

**School:** Federal University of Technology, Minna

**Department:** Science and Technology

**Course Code:** STA117

Topics: Probability, statistics, Random Variables, Probability Distributions, Mathematical Expectation, Special Probability
Distributions, Sampling Theory, Estimation Theory, Curve Fitting, Regression, Correlation, Analysis of Variance, Nonparametric Tests, Bayesian Methods

Applied Statistics and Probability for Engineers, 7th edition

**Author:** Douglas Montgomery, George Runger

**School:** Bayero University, Kano

**Department:** Engineering

**Course Code:** EGR4201

Topics: Applied Statistics, Probability, collecting engineering data, sample spaces, event, counting techniques, conditional probability, Baye's theorem, Random variables, discrete random variables, probability distributions, probability mass functions, cumulative distribution functions, Discrete Uniform Distribution, binomial distribution, Hypergeometric Distribution, Poisson Distribution, probability density functions, continuous uniform distribution, Normal distribution, Erlang distributions, Weibull distribution, Lognormal distribution, joint probability distributions, covariance, correlation, probability plots, descriptive statistics, point estimation, statistical inference, multiple linear regression, multiple linear regression model, simple linear regression, analysis of variance

Introduction to the Theory of Statistics Solutions Manual

**Author:** Alexander McFarlane Mood, Franklin Graybill, Duane Boes

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** STA124

Topics: probability, random variables, distribution function, expectation, moments, chebyshev inequality, Jensen inequality, univariate distribution, discrete distribution, continuous distribution, comments, joint distribution function, conditional distribution, stochastic independence, covariance, correlation, distribution of function, sampling, sampling distribution, sample mean, order statistics, parametric point estimation, point estimators, sufficiency, unbiased estimation, location invariance, scale invariance, Bayes estimator, vector of parameters, parametric interval estimation, confidence interval, test of hypothesis, loss function, Chi-square test, linear model, Nonparametric method, tolerance limit

Introduction to the theory of statistics, Third edition

**Author:** Alexander McFarlane Mood, Franklin Graybill, Duane Boes

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** STA124

Topics: probability, random variables, distribution function, expectation, moments, chebyshev inequality, Jensen inequality, univariate distribution, discrete distribution, continuous distribution, comments, joint distribution function, conditional distribution, stochastic independence, covariance, correlation, distribution of function, sampling, sampling distribution, sample mean, order statistics, parametric point estimation, point estimators, sufficiency, unbiased estimation, location invariance, scale invariance, Bayes estimator, vector of parameters, parametric interval estimation, confidence interval, test of hypothesis, loss function, Chi-square test, linear model, Nonparametric method, tolerance limit

Introduction to Mathematical Statistics ,8th edition

**Author:** Robert Hogg, Joseph McKean, Allen Craig

**School:** Federal University of Agriculture, Abeokuta

**Department:** Science and Technology

**Course Code:** STS213

Topics: Statistics, Probability, Distributions, Multivariate Distributions, statistical inference, consistency, limiting distributions, maximum likelihood methods, sufficiency, optimal test of hypotheses, nonparametric statistics, robust statistics, Bayesian statistics, conditional probability, random variables, correlation coefficient, binomial distribution, Poisson distribution, Normal distribution, Multivariate normal distribution, sampling, confidence intervals, hypothesis testing, central limit theorem, maximum likelihood estimation, sequential probability ratio test, likelihood ratio test, sample median, signed-rank Wilcoxon, Mann–Whitney–Wilcoxon Procedure, Simple Linear Model, Bayesian Procedures

Introduction to Mathematical Statistics ,7th edition Instructor’s Solutions manual

**Author:** Allen Craig, Robert Hogg, Joseph McKean

**School:** Federal University of Agriculture, Abeokuta

**Department:** Science and Technology

**Course Code:** STS213

Topics: Statistics, Probability, Distributions, Multivariate Distributions, statistical inference, consistency, limiting distributions, maximum likelihood methods, sufficiency, optimal test of hypotheses, nonparametric statistics, robust statistics, Bayesian statistics, conditional probability, random variables, correlation coefficient, binomial distribution, Poisson distribution, Normal distribution, Multivariate normal distribution, sampling, confidence intervals, hypothesis testing, central limit theorem, maximum likelihood estimation, sequential probability ratio test, likelihood ratio test, sample median, signed-rank Wilcoxon, Mann–Whitney–Wilcoxon Procedure, Simple Linear Model, Bayesian Procedures

Statistical Analysis Handbook

**Author:** Michael de Smith

**School:** University of Ibadan

**Department:** Science and Technology

**Course Code:** STA231, STA322, STA351, STA415

Topics: Statistical Analysis, statistical data, statistical method, sampling, sample size, data preparation, data cleaning, missing data, data errors, statistical error, probability theory, odds, risk, frequentist probability theory, Bayesian probability theory, probability distribution, statistical modelling, computational statistics, inference, bias, confounding, hypothesis testing, statistical significance, confidence intervals, Non-parametric analysis, descriptive statistics, measures of central tendency, statistical indices, key functions, matrix, data transformation, data standardization, Box-cox, power transforms, Freeman-turkey transform, log transform, exponential transforms, logit transform, Normal transform, Z-transform, data exploration, graphic, visualization, exploratory data analysis, randomness, randomization, random numbers, random permutations, correlation, autocorrelation, probability distributions, eestimations, estimators, Maximum likelihood estimation, Bayesian estimation, z-test, T-test, variance test, contigency tables, randomized block designs, factorial designs, Analysis of variance, Analysis of covariance, ANOVA, MANOVA, ANCOVA, regression, smoothing, time series analysis

Instructors Solutions Manual for John E. Freunds Mathematical Statistics with Applications, Eighth Edition

**Author:** Irwin Miller, Marylees Miller

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** STA124

Topics: probability, Probability Distribution, Probability Densitiy, Mathematical Expectation, Special Probability Distribution, Special Probability Density, Random Variables, Sampling Distributions, Decision Theory, Point Estimation, Interval Estimation, Hypothesis Testing, Regression, Correlation

John E. Freunds Mathematical Statistics with Applications, Eighth Edition

**Author:** Irwin Miller, Marylees Miller

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** STA124

Topics: probability, Probability Distribution, Probability Densitiy, Mathematical Expectation, Special Probability Distribution, Special Probability Density, Random Variables, Sampling Distributions, Decision Theory, Point Estimation, Interval Estimation, Hypothesis Testing, Regression, Correlation

Thomas Calculus ,14th edition

**Author:** GeorgeThomas, Joel Hass, Christopher Heil, Maurice Weir

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** MAT112

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Thomas Calculus Early Transcendentals, 13th Edition Instructors Solutions Manual

**Author:** Elka Block, Frank Purcell

**School:** University of Ilorin

**Department:** Science and Technology

**Course Code:** MAT112

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Introduction to Real Analysis, 4th Edition

**Author:** Robert Bartle, Donald Sherbert

**School:** Nnamdi Azikiwe University

**Department:** Science and Technology

**Course Code:** MAT251

Topics: real analysis, sets, functions, mathematical induction, finite sets, infinite sets, real numbers, absolute value, real line, intervals, sequences, series, limit theorems, monotone sequences, Cauchy criterion, limits, limit theorems, continuous functions, uniform continuity, inverse function, monotone functions, derivative, mean value theorem, L' Hospital rule, Taylor's theorem, Riemann integral, Riemann integral functions, fundamental theorem, Darboux integral, approximate integrations, pointwise convergence, uniform convergence, exponential functions, logarithmic function, trigonometric functions, infinite series, absolute convergence, infinite integrals, convergence theorems, continuous functions, metric spaces