Calculus and statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading, Mass.
Addison-Wesley
1970
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI,353 S. m. zahlr. Abb. |
Internformat
MARC
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| 100 | 1 | |a Gemignani, Michael C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Calculus and statistics |c Michael C. Gemignani |
| 264 | 1 | |a Reading, Mass. |b Addison-Wesley |c 1970 | |
| 300 | |a XI,353 S. |b m. zahlr. Abb. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Statistik | |
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Datensatz im Suchindex
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| adam_text | Contents
Chapter 1 The Basic Concepts of Function and Probability
1.1 Sets and functions 1
1.2 The notion of probability 6
1.3 The basic laws of probability 11
1.4 More basic facts about probabilities 15
Chapter 2 Some Specific Probabilities
2.1 Sampling without replacement but with regard to order . 22
2.2 Sampling without replacement or regard to order ... 27
2.3 Sampling with replacement and with regard to order . . 31
2.4 Bayes Theorem 34
Chapter 3 Random Variables. Graphs
3.1 Random variables. Admissible ranges 38
3.2 Graphs of equalities and inequalities 42
3.3 Properties of functions and graphs 48
3.4 Continuity 52
3.5 Summation notation 57
3.6 Probability distributions 61
ix
Chapter 4 The Derivative
4.1 The limit of a function 70
4.2 The derivative of a function 77
4.3 Basic rules for finding a derivative 83
4.4 The Chain Rule. Implicit differentiation 88
Chapter 5 Applications of the Derivative
5.1 Maxima and minima 94
5.2 More about maxima and minima. Increasing and
decreasing functions 99
5.3 Some theorems about continuous functions 105
5.4 Higher derivatives and their applications 109
5.5 The density function of a continuous distribution. The mode 113
Chapter 6 Sequences and Series
6.1 Sequences and series 120
6.2 Tests for convergence of series 126
6.3 Power series 131
6.4 Taylor s series. Interval of convergence 137
Chapter 7 Integration
7.1 The definite integral. Area under a graph 142
7.2 The fundamental theorem of the calculus 149
7.3 Some basic integrals. The indefinite integral 154
7.4 Integration by parts and change of variable 159
7.5 Improper integrals. Tables of integrals 163
7.6 Numerical methods of integration 169
Chapter 8 The Integral and Continuous Variates
8.1 Measures of central tendency 174
8.2 Variation from the norm 179
8.3 Probability of extreme values. Moment generating
functions 185
Chapter 9 Some Basic Discrete Distributions
9.1 The rectangular and hypergeometric distributions . . . 190
9.2 The binomial distribution 194
9.3 Distributions involving the number of trials until success . 199
9.4 The Poisson distribution 204
Chapter 10 Other Important Distributions
10.1 The normal distribution 208
10.2 Student s / distribution 216
x Contents
10.3 More about the ^ distribution 220
10.4 X2 distribution 225
10.5 Some other distributions 231
Chapter 11 Hypothesis Testing
11.1 Statistical inference 235
11.2 More about critical regions 239
11.3 Some remarks on the design of experiments 242
11.4 An example 245
Chapter 12 Functions of Several Variables
12.1 Multivariate functions 250
12.2 Partial differentiation 255
12.3 Multiple integration 263
Chapter 13 Regression and Correlation
13.1 Linear regression 271
13.2 Measures of correlation 275
13.3 The coefficient of correlation 279
13.4 The significance of r and r2 282
Appendix
Table 1 Common logarithms 289
Table 2 Areas under the standard normal curve 291
Table 3 Critical values of chi square 294
Table 4 Critical values of t 295
Table 5 Critical values of F 296
Table 6 Exponential functions 300
Table 7 z = In V ^ 301
v v
Table 8 Squares, square roots, and reciprocals from 1 to 1000 . . 302
Answers to Selected Exercises 309
General Index 349
Index of Symbols 353
Contents xi
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:56:34Z |
| institution | BVB |
| language | English |
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| physical | XI,353 S. m. zahlr. Abb. |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Addison-Wesley |
| record_format | marc |
| spelling | Gemignani, Michael C. Verfasser aut Calculus and statistics Michael C. Gemignani Reading, Mass. Addison-Wesley 1970 XI,353 S. m. zahlr. Abb. txt rdacontent n rdamedia nc rdacarrier Statistik Calculus Statistics Statistik (DE-588)4056995-0 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 Statistik (DE-588)4056995-0 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004564769&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gemignani, Michael C. Calculus and statistics Statistik Calculus Statistics Statistik (DE-588)4056995-0 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4037944-9 |
| title | Calculus and statistics |
| title_auth | Calculus and statistics |
| title_exact_search | Calculus and statistics |
| title_full | Calculus and statistics Michael C. Gemignani |
| title_fullStr | Calculus and statistics Michael C. Gemignani |
| title_full_unstemmed | Calculus and statistics Michael C. Gemignani |
| title_short | Calculus and statistics |
| title_sort | calculus and statistics |
| topic | Statistik Calculus Statistics Statistik (DE-588)4056995-0 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Statistik Calculus Statistics Mathematik |
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