Probability and statistics for engineers:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Englewood Cliffs, NJ
Prentice-Hall
1977
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 529 S. |
| ISBN: | 0137119453 |
Internformat
MARC
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| 100 | 1 | |a Miller, Irwin |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Probability and statistics for engineers |c Irwin Miller ; John E. Freund |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Englewood Cliffs, NJ |b Prentice-Hall |c 1977 | |
| 300 | |a 529 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Probabilidade (Estatistica) |2 larpcal | |
| 650 | 4 | |a Ingenieurwissenschaften | |
| 650 | 4 | |a Engineering |x Statistical methods | |
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Datensatz im Suchindex
| _version_ | 1804135808459866112 |
|---|---|
| adam_text | Titel: Probability and statistics for engineers
Autor: Miller, Irwin
Jahr: 1977
Contents
PREFACE
XI
1.
INTRODUCTION,
1
1.1
Modern
Statistics,
1
1.2
Statistics
and
Engineering,
3
2
.
PROBABILITY,
5
2.1
Sample
Spaces,
5
2.2
Events,
9
2.3
Probability,
15
2.4
Some
Elementary
Theorems,
24
2.5
Conditional
Probability,
32
2.6
The
Rule
of
Bayes,
36
2.7
Mathematical
Expectation
and
Decision
Making,
43
vi
Contents
3
.
PROBABILITY
DISTRIBUTIONS,
50
3.1
Random
Variables,
50
3.2
The
Binomial
Distribution,
54
3.3
The
Hypergeometric
Distribution,
60
3.4
The
Mean
and
the
Variance
of
a
Probability
Distribution,
66
3.5
Chebyshev s
Theorem,
73
3.6
The
Poisson
Approximation
of
the
Binomial
Distribution,
77
3.7
Poisson
Processes,
81
3.8
The
Geometric
Distribution,
83
3.9
The
Multinomial
Distribution,
89
3.10
Simulation,
91
4
.
PROBABILITY
DENSITIES,
96
4.1
Continuous
Random
Variables,
96
4.2
The
Normal
Distribution,
104
4.3
The
Normal
Approximation
of
the
Binomial
Distribution,
108
4.4
Other
Probability
Densities,
113
4.5
The
Uniform
Distribution,
113
4.6
The
Log-Normal
Distribution,
114
4.7
The
Gamma
Distribution,
117
4.8
The
Beta
Distribution,
119
4.9
The
Weibull
Distribution,
121
4.10
Joint
Probability
Densities,
125
4.11
Simulation,
131
5
.
TREATMENT
OF
DATA,
136
5.1
Frequency
Distributions,
136
5.2
Graphs
of
Frequency
Distributions,
140
5.3
Descriptive
Measures,
149
5.4
The
Calculation
of
x
and
s,
152
vii
Contents
6.
SAMPLING
DISTRIBUTIONS,
160
6.1
Populations
and
Samples,
160
6.2
The
Sampling
Distribution
of
the
Mean
(a
Known),
163
6.3
The
Sampling
Distribution
of
the
Mean
(a
Unknown),
172
6.4
The
Sampling
Distribution
of
the
Variance,
175
7
.
INFERENCES
CONCERNING
MEANS,
180
7.1
Point
Estimation,
180
7.2
Interval
Estimation,
185
7.3
Bayesian
Estimation,
188
7.4
Tests
of
Hypotheses,
194
7.5
Operating
Characteristic
Curves,
201
7.6
Null
Hypotheses
and
Significance
Tests,
209
7.7
Hypotheses
Concerning
One
Mean,
211
7.8
Hypotheses
Concerning
Two
Means,
214
8
.
INFERENCES
CONCERNING
VARIANCES,
227
8.1
The
Estimation
of
Variances,
227
8.2
Hypotheses
Concerning
One
Variance,
233
8.3
Hypotheses
Concerning
Two
Variances,
235
9
.
INFERENCES
CONCERNING
PROPORTIONS,
240
9.1
Estimation
of
Proportions,
240
9.2
Bayesian
Estimation,
246
9.3
Hypotheses
Concerning
One
Proportion,
252
9.4
Hypotheses
Concerning
Several
Proportions,
253
9.5
The
Analysis
of
r-by-k
Tables,
261
9.6
Goodness
of
Fit,
264
viii
Contents
10
.
NONPARAMETRIC
METHODS,
270
10.1
Introduction,
270
10.2
The
Sign
Test,
272
10.3
Rank-Sum
Tests,
275
10.4
A
Test
of
Randomness,
282
10.5
The
Kolmogorov-Smirnov
Tests,
285
11
.
CURVE
FITTING,
289
11.1
The
Method
of
Least
Squares,
289
11.2
Inferences
Based
on
the
Least-Squares
Estimators,
295
11.3
Curvilinear
Regression,
306
11.4
Multiple
Regression,
312
11.5
Correlation,
321
12
.
ANALYSIS
OF
VARIANCE,
331
12.1
Introduction,
331
12.2
Completely
Randomized
Designs,
335
12.3
Randomized
Block
Designs,
345
12.4
Multiple
Comparisons,
352
12.5
Some
Further
Experimental
Designs,
357
12.6
Analysis
of
Covariance,
368
13
.
FACTORIAL
EXPERIMENTATION,
375
13.1
Two-factor
Experiments,
375
13.2
Multifactor
Experiments,
383
13.3
2
Factorial
Experiments,
393
13.4
Confounding
in
a
2
Factorial
Experiment,
405
13.5
Fractional
Replication,
411
14
.
APPLICATIONS
TO
QUALITY
ASSURANCE,
419
14.1
Quality
Assurance,
419
14.2
Quality
Control,
420
14.3
Control
Charts
for
Measurements,
421
ix
Contents
14.4
Control
Charts
for
Attributes,
426
14.5
Tolerance
Limits,
434
14.6
Acceptance
Sampling,
436
15
.
APPLICATIONS
TO
RELIABILITY
AND
LIFE
TESTING,
449
15.1
Introduction,
449
15.2
Failure-Time
Distributions,
452
15.3
The
Exponential
Model
in
Reliability,
455
15.4
The
Exponential
Model
in
Life
Testing,
461
15.5
The
Weibull
Model
in
Life
Testing,
465
BIBLIOGRAPHY,
472
STATISTICAL
TABLES,
476
ANSWERS
TO
ODD-NUMBERED
EXERCISES,
508
INDEX,
523
|
| adam_txt |
Titel: Probability and statistics for engineers
Autor: Miller, Irwin
Jahr: 1977
Contents
PREFACE
XI
1.
INTRODUCTION,
1
1.1
Modern
Statistics,
1
1.2
Statistics
and
Engineering,
3
2
.
PROBABILITY,
5
2.1
Sample
Spaces,
5
2.2
Events,
9
2.3
Probability,
15
2.4
Some
Elementary
Theorems,
24
2.5
Conditional
Probability,
32
2.6
The
Rule
of
Bayes,
36
2.7
Mathematical
Expectation
and
Decision
Making,
43
vi
Contents
3
.
PROBABILITY
DISTRIBUTIONS,
50
3.1
Random
Variables,
50
3.2
The
Binomial
Distribution,
54
3.3
The
Hypergeometric
Distribution,
60
3.4
The
Mean
and
the
Variance
of
a
Probability
Distribution,
66
3.5
Chebyshev's
Theorem,
73
3.6
The
Poisson
Approximation
of
the
Binomial
Distribution,
77
3.7
Poisson
Processes,
81
3.8
The
Geometric
Distribution,
83
3.9
The
Multinomial
Distribution,
89
3.10
Simulation,
91
4
.
PROBABILITY
DENSITIES,
96
4.1
Continuous
Random
Variables,
96
4.2
The
Normal
Distribution,
104
4.3
The
Normal
Approximation
of
the
Binomial
Distribution,
108
4.4
Other
Probability
Densities,
113
4.5
The
Uniform
Distribution,
113
4.6
The
Log-Normal
Distribution,
114
4.7
The
Gamma
Distribution,
117
4.8
The
Beta
Distribution,
119
4.9
The
Weibull
Distribution,
121
4.10
Joint
Probability
Densities,
125
4.11
Simulation,
131
5
.
TREATMENT
OF
DATA,
136
5.1
Frequency
Distributions,
136
5.2
Graphs
of
Frequency
Distributions,
140
5.3
Descriptive
Measures,
149
5.4
The
Calculation
of
x
and
s,
152
vii
Contents
6.
SAMPLING
DISTRIBUTIONS,
160
6.1
Populations
and
Samples,
160
6.2
The
Sampling
Distribution
of
the
Mean
(a
Known),
163
6.3
The
Sampling
Distribution
of
the
Mean
(a
Unknown),
172
6.4
The
Sampling
Distribution
of
the
Variance,
175
7
.
INFERENCES
CONCERNING
MEANS,
180
7.1
Point
Estimation,
180
7.2
Interval
Estimation,
185
7.3
Bayesian
Estimation,
188
7.4
Tests
of
Hypotheses,
194
7.5
Operating
Characteristic
Curves,
201
7.6
Null
Hypotheses
and
Significance
Tests,
209
7.7
Hypotheses
Concerning
One
Mean,
211
7.8
Hypotheses
Concerning
Two
Means,
214
8
.
INFERENCES
CONCERNING
VARIANCES,
227
8.1
The
Estimation
of
Variances,
227
8.2
Hypotheses
Concerning
One
Variance,
233
8.3
Hypotheses
Concerning
Two
Variances,
235
9
.
INFERENCES
CONCERNING
PROPORTIONS,
240
9.1
Estimation
of
Proportions,
240
9.2
Bayesian
Estimation,
246
9.3
Hypotheses
Concerning
One
Proportion,
252
9.4
Hypotheses
Concerning
Several
Proportions,
253
9.5
The
Analysis
of
r-by-k
Tables,
261
9.6
Goodness
of
Fit,
264
viii
Contents
10
.
NONPARAMETRIC
METHODS,
270
10.1
Introduction,
270
10.2
The
Sign
Test,
272
10.3
Rank-Sum
Tests,
275
10.4
A
Test
of
Randomness,
282
10.5
The
Kolmogorov-Smirnov
Tests,
285
11
.
CURVE
FITTING,
289
11.1
The
Method
of
Least
Squares,
289
11.2
Inferences
Based
on
the
Least-Squares
Estimators,
295
11.3
Curvilinear
Regression,
306
11.4
Multiple
Regression,
312
11.5
Correlation,
321
12
.
ANALYSIS
OF
VARIANCE,
331
12.1
Introduction,
331
12.2
Completely
Randomized
Designs,
335
12.3
Randomized
Block
Designs,
345
12.4
Multiple
Comparisons,
352
12.5
Some
Further
Experimental
Designs,
357
12.6
Analysis
of
Covariance,
368
13
.
FACTORIAL
EXPERIMENTATION,
375
13.1
Two-factor
Experiments,
375
13.2
Multifactor
Experiments,
383
13.3
2"
Factorial
Experiments,
393
13.4
Confounding
in
a
2"
Factorial
Experiment,
405
13.5
Fractional
Replication,
411
14
.
APPLICATIONS
TO
QUALITY
ASSURANCE,
419
14.1
Quality
Assurance,
419
14.2
Quality
Control,
420
14.3
Control
Charts
for
Measurements,
421
ix
Contents
14.4
Control
Charts
for
Attributes,
426
14.5
Tolerance
Limits,
434
14.6
Acceptance
Sampling,
436
15
.
APPLICATIONS
TO
RELIABILITY
AND
LIFE
TESTING,
449
15.1
Introduction,
449
15.2
Failure-Time
Distributions,
452
15.3
The
Exponential
Model
in
Reliability,
455
15.4
The
Exponential
Model
in
Life
Testing,
461
15.5
The
Weibull
Model
in
Life
Testing,
465
BIBLIOGRAPHY,
472
STATISTICAL
TABLES,
476
ANSWERS
TO
ODD-NUMBERED
EXERCISES,
508
INDEX,
523 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Miller, Irwin Freund, John E. 1921-2004 |
| author_GND | (DE-588)123809797 |
| author_facet | Miller, Irwin Freund, John E. 1921-2004 |
| author_role | aut aut |
| author_sort | Miller, Irwin |
| author_variant | i m im j e f je jef |
| building | Verbundindex |
| bvnumber | BV021870212 |
| callnumber-first | T - Technology |
| callnumber-label | TA340 |
| callnumber-raw | TA340 |
| callnumber-search | TA340 |
| callnumber-sort | TA 3340 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | QH 230 |
| ctrlnum | (OCoLC)2189230 (DE-599)BVBBV021870212 |
| dewey-full | 519.2/02462 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/02462 |
| dewey-search | 519.2/02462 |
| dewey-sort | 3519.2 42462 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV021870212 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:03:22Z |
| indexdate | 2024-07-09T20:46:23Z |
| institution | BVB |
| isbn | 0137119453 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015086148 |
| oclc_num | 2189230 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 529 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Prentice-Hall |
| record_format | marc |
| spelling | Miller, Irwin Verfasser aut Probability and statistics for engineers Irwin Miller ; John E. Freund 2. ed. Englewood Cliffs, NJ Prentice-Hall 1977 529 S. txt rdacontent n rdamedia nc rdacarrier Probabilidade (Estatistica) larpcal Ingenieurwissenschaften Engineering Statistical methods Probabilities Statistik (DE-588)4056995-0 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Statistik (DE-588)4056995-0 s Ingenieurwissenschaften (DE-588)4137304-2 s 1\p DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 2\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 3\p DE-604 Freund, John E. 1921-2004 Verfasser (DE-588)123809797 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015086148&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Miller, Irwin Freund, John E. 1921-2004 Probability and statistics for engineers Probabilidade (Estatistica) larpcal Ingenieurwissenschaften Engineering Statistical methods Probabilities Statistik (DE-588)4056995-0 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4137304-2 (DE-588)4079013-7 (DE-588)4064324-4 |
| title | Probability and statistics for engineers |
| title_auth | Probability and statistics for engineers |
| title_exact_search | Probability and statistics for engineers |
| title_exact_search_txtP | Probability and statistics for engineers |
| title_full | Probability and statistics for engineers Irwin Miller ; John E. Freund |
| title_fullStr | Probability and statistics for engineers Irwin Miller ; John E. Freund |
| title_full_unstemmed | Probability and statistics for engineers Irwin Miller ; John E. Freund |
| title_short | Probability and statistics for engineers |
| title_sort | probability and statistics for engineers |
| topic | Probabilidade (Estatistica) larpcal Ingenieurwissenschaften Engineering Statistical methods Probabilities Statistik (DE-588)4056995-0 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Probabilidade (Estatistica) Ingenieurwissenschaften Engineering Statistical methods Probabilities Statistik Wahrscheinlichkeitstheorie Wahrscheinlichkeitsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015086148&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT millerirwin probabilityandstatisticsforengineers AT freundjohne probabilityandstatisticsforengineers |