Applications of probability and random variables:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
McGraw-Hill
1974
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | McGraw-Hill series in probability and statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 448 S. graph. Darst. |
| ISBN: | 0070676518 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV007423824 | ||
| 003 | DE-604 | ||
| 005 | 19940315 | ||
| 007 | t | ||
| 008 | 930421s1974 d||| |||| 00||| eng d | ||
| 020 | |a 0070676518 |9 0-0706-7651-8 | ||
| 035 | |a (OCoLC)618491 | ||
| 035 | |a (DE-599)BVBBV007423824 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-N32 |a DE-19 | ||
| 050 | 0 | |a QA273 | |
| 082 | 0 | |a 519.2 | |
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 100 | 1 | |a Wadsworth, George P. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Applications of probability and random variables |c George P. Wadsworth ; Joseph G. Bryan |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York u.a. |b McGraw-Hill |c 1974 | |
| 300 | |a XV, 448 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a McGraw-Hill series in probability and statistics | |
| 650 | 4 | |a Probabilities | |
| 650 | 0 | 7 | |a Wahrscheinlichkeitsrechnung |0 (DE-588)4064324-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Operations Research |0 (DE-588)4043586-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |D s |
| 689 | 0 | 1 | |a Operations Research |0 (DE-588)4043586-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Wahrscheinlichkeitsrechnung |0 (DE-588)4064324-4 |D s |
| 689 | 1 | 1 | |a Operations Research |0 (DE-588)4043586-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Bryan, Joseph G. |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004808015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-004808015 | ||
Datensatz im Suchindex
| _version_ | 1804121688159289344 |
|---|---|
| adam_text | CONTENTS
Preface to the Second Edition xi
Preface to the First Edition xiii
1 Probability Concepts 1
1 1 Introduction 1
1 2 Concept of Probability 2
1 3 Relative Frequency 5
1 4 Laws of Probability 8
1 5 Fundamental Theorems 9
1 6 General Comments 14
1 7 Illustrations of General Principles 15
1 8 Bayes Theorem 23
1 9 Geometrical Probability 27
Appendix to Chapter 1 32
1 10 Permutations and Combinations 32
Problems 35
Vi CONTENTS
2 Discrete Random Variables 39
2 1 Introduction 39
2 2 Distributions 40
2 3 Distribution Functions 41
2 4 Probability Functions 43
2 5 Random Sampling 45
2 6 Specific Discrete Distributions 46
2 7 The Binomial Distribution 46
2 8 The Multinomial Distribution 53
2 9 The Hypergeometric Distribution 55
2 10 The Geometric and Pascal Distribution 60
2 11 The Poisson Distribution 61
Problems 71
3 Probability and Difference Equations 74
3 1 Difference Equations 74
3 2 Probability Generating Functions 79
3 3 Simultaneous Difference Equations 82
3 4 Applications 87
3 5 Random Walks 87
3 6 Generalized Binomial Distribution 89
3 7 Sequence of Successes 91
Problems 93
4 Continuous Random Variables 96
4 1 Distribution Functions 96
4 2 Use of Distribution Functions in Defining Distributions 97
4 3 Computation of Probabilities 101
4 4 Density Functions 101
4 5 Properties of Density Functions 103
4 6 Examples of Density Functions 103
4 7 Use of Density Functions in Defining Distributions 105
4 8 Exceptional Situations 105
4 9 The Gamma Distribution 108
4 10 The Beta Distribution 123
4 11 The Normal Distribution 127
4 12 Confidence Limits (Interval Estimation) 136
Appendix to Chapter 4 139
CONTENTS vii
4 13 Gamma Functions 139
4 14 Beta Functions 142
Problems 145
5 Joint Distributions 149
5 / Fundamental Concepts 149
5 2 Multivariate distribution Functions and Density Functions 154
5 5 Admissible Regions 156
5 4 Continuous Bivariate Distributions 158
J J Illustrations of the Use of General Principles 165
5 6 Point Estimation of a Parameter 178
5 7 Bayesian Approach to Estimation 180
5 8 Search Theory and Distribution of Effort 187
Problems 192
6 Derived Distributions 198
6 1 Introduction 198
6 2 Monotonic Functions 199
6 3 The Density Function of a Monotonically Increasing Function 199
6 4 The Density Function of a Monotonically Decreasing Function 203
6 5 The Probability Transformation 205
6 6 Density Functions of the Square and the Absolute Value 206
6 7 The Distribution of a Function of Two or More Independent
Variates 207
6 8 Some Derived Distributions Used in Statistics 216
6 9 The Chi square Distribution 217
6 10 The t Distribution 218
6 11 The F Distribution 219
6 12 The Distribution of a Function of Nonindependent Variates 220
6 13 Joint Distribution of Multivariate Functions 224
6 14 Significance Tests 236
6 15 The Hypergeometric Test for the Difference between Two
Percentages 246
6 16 Collective Significance 250
Problems 254
7 Mathematical Expectation 260
7 1 Definition 260
7 2 Averages 262
viii CONTENTS
7 3 Some Additional Properties of the Mean 267
7 4 Variance 268
7 5 Unbiased Estimation of Variance 273
7 6 Probability of Extreme Values 276
7 7 Multivariate Functions 278
7 8 Covariance and Correlation 281
7 9 The Variance of a Linear Function 282
7 70 Applications of Expected value Theory 283
Problems 302
8 Generating Functions 309
8 1 Moments 309
8 2 Characterization of a Distribution Function 310
8 3 Characteristic Functions 313
8 4 Moment generating Functions 316
8 5 Multivariate Moment generating Functions 326
8 6 Asymptotic Distributions 329
Problems 336
9 Markov Processes and Waiting Lines 339
9 1 Definition 339
9 2 Mathematical Properties 340
9 3 Difference Equations 342
9 4 Ergodic Process 346
9 5 Markov Processes and Rewards 353
9 6 Strategies and Markov Processes 357
9 7 Continuous Markov Processes 360
9 8 Illustrations of Continuous Markov Processes 366
Appendix to Chapter 9 374
9 9 Convergence of the Maximization Program 374
Problems 375
10 Some Statistical Uses of Probability 379
10 1 Introduction 379
10 2 The Normal Tests 380
10 3 The Normal Test for the Difference between Two Percentages 380
10 4 The Normal Test for Association or Independence 385
CONTENTS IX
10 5 The Chi square Tests 387
10 6 The Chi square Test for Goodness of Fit 388
10 7 The Chi square Test for Homogeneity 392
10 8 The Chi square Test for Association or Independence 395
10 9 The Distributions of x and s2 in a Normal Population 400
10 10 The t Tests 403
10 11 The t Test for a Single Mean 404
10 12 The t Test for the Means of Paired Observations 406
10 13 The t Test for the Difference of the Means of Two Independent
Samples 408
10 14 Respective Confidence Limits for i and a2 412
10 15 The F Tests 415
10 16 Tests for Equality of Variances 416
70 /7 The F Test for Equality of More Than Two Means 421
Problems 426
Index 443
|
| any_adam_object | 1 |
| author | Wadsworth, George P. Bryan, Joseph G. |
| author_facet | Wadsworth, George P. Bryan, Joseph G. |
| author_role | aut aut |
| author_sort | Wadsworth, George P. |
| author_variant | g p w gp gpw j g b jg jgb |
| building | Verbundindex |
| bvnumber | BV007423824 |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273 |
| callnumber-search | QA273 |
| callnumber-sort | QA 3273 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 800 |
| ctrlnum | (OCoLC)618491 (DE-599)BVBBV007423824 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01773nam a2200457 c 4500</leader><controlfield tag="001">BV007423824</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19940315 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930421s1974 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0070676518</subfield><subfield code="9">0-0706-7651-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)618491</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV007423824</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-N32</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA273</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wadsworth, George P.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Applications of probability and random variables</subfield><subfield code="c">George P. Wadsworth ; Joseph G. Bryan</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York u.a.</subfield><subfield code="b">McGraw-Hill</subfield><subfield code="c">1974</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 448 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">McGraw-Hill series in probability and statistics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probabilities</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitsrechnung</subfield><subfield code="0">(DE-588)4064324-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastischer Prozess</subfield><subfield code="0">(DE-588)4057630-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operations Research</subfield><subfield code="0">(DE-588)4043586-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Stochastischer Prozess</subfield><subfield code="0">(DE-588)4057630-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Operations Research</subfield><subfield code="0">(DE-588)4043586-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Wahrscheinlichkeitsrechnung</subfield><subfield code="0">(DE-588)4064324-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Operations Research</subfield><subfield code="0">(DE-588)4043586-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bryan, Joseph G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004808015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-004808015</subfield></datafield></record></collection> |
| id | DE-604.BV007423824 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:01:57Z |
| institution | BVB |
| isbn | 0070676518 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004808015 |
| oclc_num | 618491 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-N32 DE-19 DE-BY-UBM |
| owner_facet | DE-355 DE-BY-UBR DE-N32 DE-19 DE-BY-UBM |
| physical | XV, 448 S. graph. Darst. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | McGraw-Hill series in probability and statistics |
| spelling | Wadsworth, George P. Verfasser aut Applications of probability and random variables George P. Wadsworth ; Joseph G. Bryan 2. ed. New York u.a. McGraw-Hill 1974 XV, 448 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in probability and statistics Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Operations Research (DE-588)4043586-6 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 s Operations Research (DE-588)4043586-6 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Bryan, Joseph G. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004808015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wadsworth, George P. Bryan, Joseph G. Applications of probability and random variables Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Operations Research (DE-588)4043586-6 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4057630-9 (DE-588)4043586-6 |
| title | Applications of probability and random variables |
| title_auth | Applications of probability and random variables |
| title_exact_search | Applications of probability and random variables |
| title_full | Applications of probability and random variables George P. Wadsworth ; Joseph G. Bryan |
| title_fullStr | Applications of probability and random variables George P. Wadsworth ; Joseph G. Bryan |
| title_full_unstemmed | Applications of probability and random variables George P. Wadsworth ; Joseph G. Bryan |
| title_short | Applications of probability and random variables |
| title_sort | applications of probability and random variables |
| topic | Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Operations Research (DE-588)4043586-6 gnd |
| topic_facet | Probabilities Wahrscheinlichkeitsrechnung Stochastischer Prozess Operations Research |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004808015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wadsworthgeorgep applicationsofprobabilityandrandomvariables AT bryanjosephg applicationsofprobabilityandrandomvariables |