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E-raamat: Statistics for Business and Economics: Compendium of Essential Formulas

  • Formaat: PDF+DRM
  • Ilmumisaeg: 01-Jan-2022
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783662642764
  • Formaat - PDF+DRM
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  • Formaat: PDF+DRM
  • Ilmumisaeg: 01-Jan-2022
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783662642764

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This compendium contains and explains essential statistical formulas within an economic context. A broad range of aids and supportive examples will help readers to understand the formulas and their practical applications. This statistical formulary is presented in a practice-oriented, clear, and understandable manner, as it is needed for meaningful and relevant application in global business, as well as in the academic setting and economic practice.

The topics presented include, but are not limited to: statistical signs and symbols, descriptive statistics, empirical distributions, ratios and index figures, correlation analysis, regression analysis, inferential statistics, probability calculation, probability distributions, theoretical distributions, statistical estimation methods, confidence intervals, statistical testing methods, the Peren-Clement index, and the usual statistical tables.

Given its scope, the book offers an indispensable reference guide and is a must-read for undergraduate and graduate students, as well as managers, scholars, and lecturers in business, politics, and economics.
List of Abbreviations
xiii
1 Statistical Signs and Symbols
1(2)
2 Descriptive Statistics
3(74)
2.1 Empirical Distributions
3(3)
2.1.1 Frequencies
3(1)
2.1.2 Cumulative Frequencies
4(2)
2.2 Mean Values and Measures of Dispersion
6(16)
2.2.1 Mean Values
6(6)
2.2.2 Measures of Dispersion
12(10)
2.3 Ratios and Index Figures
22(28)
2.3.1 Ratios
22(3)
2.3.2 Index Figures
25(13)
2.3.3 Peren-Clement Index (PCI)
38(12)
2.4 Correlation Analysis
50(1)
2.5 Regression Analysis
51(26)
2.5.1 Simple Linear Regression
51(4)
2.5.1.1 Confidence Intervals for the Regression Coefficients of a Simple Linear Regression Function
55(2)
2.5.1.2 Student's t-Tests for the Regression Coefficients of a Simple Linear Regression Function
57(5)
2.5.2 Multiple Linear Regression
62(2)
2.5.2.1 Confidence Intervals for the Regression Coefficients of a Multiple Linear Regression Function
64(2)
2.5.2.2 Student's t-Tests for the Regression Coefficients of a Multiple Linear Regression Function
66(1)
2.5.3 Double Linear Regression
66(3)
2.5.3.1 Confidence Intervals for the Regression Coefficients of a Double Linear Regression Function
69(2)
2.5.3.2 Student's t-Tests for the Regression Coefficients of a Simple Linear Regression Function
71(6)
3 Inferential Statistics
77(34)
3.1 Probability Calculation
77(11)
3.1.1 Fundamental Terms/Definitions
77(5)
3.1.2 Theorems of Probability Theory
82(6)
3.2 Probability Distributions
88(4)
3.2.1 Concept of Random Variables
88(1)
3.2.2 Probability, Distribution and Density Function
89(1)
3.2.2.1 Discrete Random Variables
89(1)
3.2.2.2 Continuous Random Variables
90(1)
3.2.3 Parameters for Probability Distributions
91(1)
3.3 Theoretical Distributions
92(7)
3.3.1 Discrete Distributions
92(3)
3.3.2 Continuous Distributions
95(4)
3.4 Statistical Estimation Methods (Confidence Intervals)
99(3)
3.5 Determination of the Required Sample Size
102(1)
3.6 Statistical Testing Methods
102(9)
3.6.1 Parameter Tests
103(3)
3.6.2 Distribution Tests (Chi-Square Tests)
106(5)
4 Probability Calculation
111(24)
4.1 Terms and Definitions
111(1)
4.2 Definitions of Probability
112(3)
4.2.1 The Classical Definition of Probabilty
112(1)
4.2.2 The Statistical Definition of Probability
113(1)
4.2.3 The Subjective Definition of Probability
113(1)
4.2.4 Axioms of Probability Calculation
114(1)
4.3 Theorems of Probability Calculation
115(9)
4.3.1 Theorem of Complementary Events
115(1)
4.3.2 The Multiplication Theorem with Independence of Events
116(1)
4.3.3 The Addition Theorem
116(2)
4.3.4 Conditional Probability
118(1)
4.3.5 Stochastic Independence
118(1)
4.3.6 The Multiplication Theorem in General Form
119(1)
4.3.7 The Theorem of Total Probability
119(1)
4.3.8 Bayes' Theorem (Bayes' Rule)
120(3)
4.3.9 Overview of the Probability Calculation of Mutually Exclusive and Non-Exclusive Events
123(1)
4.4 Random Variable
124(11)
4.4.1 The Concept of Random Variables
124(1)
4.4.2 The Probability Function of Discrete Random Variables
124(1)
4.4.3 The Distribution Function of Discrete Random Variables
125(1)
4.4.4 Probability Density and Distribution Function of Continuous Random Variables
125(5)
4.4.5 Expected Value and Variance of Random Variables
130(5)
A Statistical Tables 135(76)
B Bibliography 211(8)
Index 219
Franz W. Peren is a professor of business administration at the Bonn-Rhein-Sieg University, Germany, specializing in quantitative methods. He has been teaching business mathematics, business statistics, and quantitative methods in planning, taxation, and controlling within operational and strategic management since 1993, mainly at German universities of applied sciences. He has also taught and conducted research as a visiting professor at the University of Victoria in Victoria, BC, Canada, and at the Columbia University in New York City, USA.