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Primer for data analytics and graduate study in statistics / / Douglas Wolfe, Grant Schneider
| Primer for data analytics and graduate study in statistics / / Douglas Wolfe, Grant Schneider |
| Autore | Wolfe Douglas A. |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (X, 233 p. 13 illus., 12 illus. in color.) |
| Disciplina | 519.5 |
| Soggetto topico | Mathematical statistics |
| ISBN | 3-030-47479-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Chapter 1: Introduction -- Chapter 2: Basic Probability -- 2.1 Random Events and Probability Set Functions -- 2.2 Properties of Probability Functions -- 2.3 Conditional Probability -- 2.4 Exercises -- Chapter 3: Random Variables and Probability Distributions -- 3.1 Discrete Random Variables -- 3.2 Discrete Random Variables -- 3.3 Continuous Random Variables -- 3.4 Exercises -- Chapter 4: General Properties of Random Variables -- 4.1 Cumulative Distribution Function -- 4.1.1 Relationship Between c.d.f. and p.d.f -- 4.1.2 General Properties of a c.d.f. FX(x) -- 4.2 Median of a Probability Distribution -- 4.3 Symmetric Probability Distribution -- 4.4 Mathematical Expectations -- 4.5 Chebyshev´s Inequality -- 4.6 Exercises -- Chapter 5: Joint Probability Distributions for Two Random Variables -- 5.1 Joint Probability Distributions of Two Variables -- 5.1.1 Discrete Variables -- 5.1.2 Continuous Variables -- 5.2 Marginal Probability Distributions -- 5.3 Covariance and Correlation -- 5.4 Conditional Probability Distributions -- 5.5 Exercises -- Chapter 6: Probability Distribution of a Function of a Single Random Variable -- 6.1 Change of Variable Technique -- 6.2 Moment Generating Function Technique -- 6.3 Distribution Function Technique -- 6.4 Exercises -- Chapter 7: Sampling Distributions -- 7.1 Simple Random Samples -- 7.2 Sampling Distributions -- 7.3 General Approaches for Obtaining Sampling Distributions -- 7.3.1 Moment Generating Function Technique -- 7.3.2 Distribution Function Technique -- 7.3.3 Change of Variable Technique -- 7.4 Equal in Distribution Approach to Obtaining Properties of Sampling Distributions -- 7.5 Exercises -- Chapter 8: Asymptotic (Large-Sample) Properties of Statistics -- 8.1 Convergence in Probability -- 8.2 Convergence in Distribution -- 8.2.1 Convergence of Moment Generating Functions.
8.2.2 Central Limit Theorem (CLT) -- 8.2.3 Slutsky´s Theorem -- 8.2.4 Delta Method -- 8.3 Exercises -- Bibliography. |
| Record Nr. | UNINA-9910482955103321 |
Wolfe Douglas A.
|
||
| Cham, Switzerland : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Primer for data analytics and graduate study in statistics / / Douglas Wolfe, Grant Schneider
| Primer for data analytics and graduate study in statistics / / Douglas Wolfe, Grant Schneider |
| Autore | Wolfe Douglas A. |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (X, 233 p. 13 illus., 12 illus. in color.) |
| Disciplina | 519.5 |
| Soggetto topico | Mathematical statistics |
| ISBN | 3-030-47479-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Chapter 1: Introduction -- Chapter 2: Basic Probability -- 2.1 Random Events and Probability Set Functions -- 2.2 Properties of Probability Functions -- 2.3 Conditional Probability -- 2.4 Exercises -- Chapter 3: Random Variables and Probability Distributions -- 3.1 Discrete Random Variables -- 3.2 Discrete Random Variables -- 3.3 Continuous Random Variables -- 3.4 Exercises -- Chapter 4: General Properties of Random Variables -- 4.1 Cumulative Distribution Function -- 4.1.1 Relationship Between c.d.f. and p.d.f -- 4.1.2 General Properties of a c.d.f. FX(x) -- 4.2 Median of a Probability Distribution -- 4.3 Symmetric Probability Distribution -- 4.4 Mathematical Expectations -- 4.5 Chebyshev´s Inequality -- 4.6 Exercises -- Chapter 5: Joint Probability Distributions for Two Random Variables -- 5.1 Joint Probability Distributions of Two Variables -- 5.1.1 Discrete Variables -- 5.1.2 Continuous Variables -- 5.2 Marginal Probability Distributions -- 5.3 Covariance and Correlation -- 5.4 Conditional Probability Distributions -- 5.5 Exercises -- Chapter 6: Probability Distribution of a Function of a Single Random Variable -- 6.1 Change of Variable Technique -- 6.2 Moment Generating Function Technique -- 6.3 Distribution Function Technique -- 6.4 Exercises -- Chapter 7: Sampling Distributions -- 7.1 Simple Random Samples -- 7.2 Sampling Distributions -- 7.3 General Approaches for Obtaining Sampling Distributions -- 7.3.1 Moment Generating Function Technique -- 7.3.2 Distribution Function Technique -- 7.3.3 Change of Variable Technique -- 7.4 Equal in Distribution Approach to Obtaining Properties of Sampling Distributions -- 7.5 Exercises -- Chapter 8: Asymptotic (Large-Sample) Properties of Statistics -- 8.1 Convergence in Probability -- 8.2 Convergence in Distribution -- 8.2.1 Convergence of Moment Generating Functions.
8.2.2 Central Limit Theorem (CLT) -- 8.2.3 Slutsky´s Theorem -- 8.2.4 Delta Method -- 8.3 Exercises -- Bibliography. |
| Record Nr. | UNISA-996418202203316 |
|
Wolfe Douglas A.
|
||
| Cham, Switzerland : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||