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|Additional Physical Format:||Print version:
Panik, Michael J.
Statistical Inference : A Short Course.
Hoboken : John Wiley & amp; Sons, ©2012
|Material Type:||Document, Internet resource|
|Document Type:||Internet Resource, Computer File|
|All Authors / Contributors:||
Michael J Panik
|ISBN:||9781118309780 1118309782 9781118309773 1118309774 9781118309803 1118309804 9781280699337 1280699337|
|Description:||1 online resource (xviii, 378 pages) : illustrations|
|Contents:||Statistical Inference: A SHORT COURSE; Contents; Preface; 1 The Nature of Statistics; 1.1 Statistics Defined; 1.2 The Population and the Sample; 1.3 Selecting a Sample from a Population; 1.4 Measurement Scales; 1.5 Let us Add; Exercises; 2 Analyzing Quantitative Data; 2.1 Imposing Order; 2.2 Tabular and Graphical Techniques: Ungrouped Data; 2.3 Tabular and Graphical Techniques: Grouped Data; Exercises; Appendix 2.A Histograms with Classes of Different Lengths; 3 Descriptive Characteristics of Quantitative Data; 3.1 The Search for Summary Characteristics; 3.2 The Arithmetic Mean. 3.3 The Median3.4 The Mode; 3.5 The Range; 3.6 The Standard Deviation; 3.7 Relative Variation; 3.8 Skewness; 3.9 Quantiles; 3.10 Kurtosis; 3.11 Detection of Outliers; 3.12 So What Do We Do with All This Stuff?; Exercises; Appendix 3.A Descriptive Characteristics of Grouped Data; 3.A.1 The Arithmetic Mean; 3.A.2 The Median; 3.A.3 The Mode; 3.A.4 The Standard Deviation; 3.A.5 Quantiles (Quartiles, Deciles, and Percentiles); 4 Essentials of Probability; 4.1 Set Notation; 4.2 Events within the Sample Space; 4.3 Basic Probability Calculations; 4.4 Joint, Marginal, and Conditional Probability. 4.5 Sources of ProbabilitiesExercises; 5 Discrete Probability Distributions and Their Properties; 5.1 The Discrete Probability Distribution; 5.2 The Mean, Variance, and Standard Deviation of a Discrete Random Variable; 5.3 The Binomial Probability Distribution; 5.3.1 Counting Issues; 5.3.2 The Bernoulli Probability Distribution; 5.3.3 The Binomial Probability Distribution; Exercises; 6 The Normal Distribution; 6.1 The Continuous Probability Distribution; 6.2 The Normal Distribution; 6.3 Probability as an Area Under the Normal Curve. 6.4 Percentiles of the Standard Normal Distribution and Percentiles of the Random Variable XExercises; Appendix 6.A The Normal Approximation to Binomial Probabilities; 7 Simple Random Sampling and the Sampling Distribution of the Mean; 7.1 Simple Random Sampling; 7.2 The Sampling Distribution of the Mean; 7.3 Comments on the Sampling Distribution of the Mean; 7.4 A Central Limit Theorem; Exercises; Appendix 7.A Using a Table of Random Numbers; Appendix 7.B Assessing Normality via the Normal Probability Plot; Appendix 7.C Randomness, Risk, and Uncertainty; 7.C.1 Introduction to Randomness.|
|Responsibility:||Michael J. Panik.|
The book is addressed to courses on probability, mathematical statistics, and statistical inference at the upper-undergraduate and graduate levels. It also serves as a valuable reference for