Statistics and probability with applications for engineers and scientists:
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
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Hoboken, NJ
Wiley
2013
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| Beschreibung: | Literaturverz. S. 863 - 866. - Wird erg. durch: Gupta, Bhisham C.: Solutions manual to accompany statistics and probability with applications for engineers and scientistengineers and scientist |
| Beschreibung: | XX, 876 S. Ill., graph. Darst. |
| ISBN: | 9781118464045 |
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| 100 | 1 | |a Gupta, Bhisham C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Statistics and probability with applications for engineers and scientists |c Bhisham C. Gupta ; Irwin Guttman |
| 264 | 1 | |a Hoboken, NJ |b Wiley |c 2013 | |
| 300 | |a XX, 876 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 863 - 866. - Wird erg. durch: Gupta, Bhisham C.: Solutions manual to accompany statistics and probability with applications for engineers and scientistengineers and scientist | ||
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 7 | |a MATHEMATICS / Probability & Statistics / General |2 bisacsh | |
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Datensatz im Suchindex
| _version_ | 1804150494352900096 |
|---|---|
| adam_text | Table
of
Contents
R
Preface
xvii
Chapter
1
I Introduction
1
1.1
Designed Experiment
2
1.1.1
Motivation for the Study
2
1.1.2
Investigation
2
1.1.3
Changing Criteria
2
1.1.4
A Summary of the Various Phases of the Investigation
3
1.2
A Survey
5
1.3
An Observational Study
6
1.4
A Set of Historical Data
6
1.5
A Brief Description of What is Covered in This Book
6
PARTI
____________________________________________________________
Chapter
2
I Describing Data Graphically and Numerically
11
2.1
Getting Started with Statistics
12
2.1.1
What Is Statistics?
12
2.1.2
Population and Sample in a Statistical Study
12
2.2
Classification of Various Types of Data
15
2.2.1
Nominal Data
15
2.2.2
Ordinal Data
16
2.2.3
Interval Data
16
2.2.4
Ratio Data
16
2.3
Frequency Distribution Tables for Qualitative and Quantitative Data
17
2.3.1
Qualitative Data
17
2.3.2
Quantitative Data
20
2.4
Graphical Description of Qualitative and Quantitative Data
25
2.4.1
Dot Plot
25
2.4.2
Pie Chart
25
2.4.3
Bar Chart
27
2.4.4
Histograms
30
2.4.5
line Graph
35
2.4.6
Stem-and-Leaf Plot
37
2.5
Numerical Measures of Quantitative Data
41
2.5.1
Measures of Centrality
42
2.5.2
Measures of Dispersion
46
2.6
Numerical Measures of Grouped Data
55
2.6.1
Mean of a Grouped Data
56
2.6.2
Median of a Grouped Data
56
2.6.3
Mode of a Grouped Data
57
2.6.4
Variance of a Grouped Data
57
vii
Viii TABLE OF
CONTENTS
2.7
Measures of Relative Position
59
2.7.1
Percentiles
59
2.7.2
Quartiles
60
2.7.3
Interquartile Range
60
2.7.4
Coefficient of Variation
61
2.8
Box-Whisker Plot
62
2.8.1
Construction of a Box Plot
62
2.8.2
How to Use the Box Plot
63
2.9
Measures of Association
68
2.10
CaseStudies
71
2.11
Using JMP®
73
Review Practice Problems
73
Chapters I Elements of Probability
83
3.1
Introduction
84
3.2
Random Experiments, Sample Spaces, and Events
84
3.2.1
Random Experiments and Sample Spaces
84
3.2.2
Events
85
3.3
Concepte
of Probability
88
3.4
Techniques of Counting Sample Points
93
3.4.1
Tree Diagram
93
3.4.2
Permutations
94
3.4.3
Combinations
95
3.4.4
Arrangements of
η
Objects Involving Several Kinds of Objects
96
3.5
Conditional Probability
98
3.6
Bayes s Theorem
100
3.7
Introducing Random Variables
104
Review Practice Problems
105
Chapter
4
I Discrete Random Variables and Some Important Discrete
Probability Distributions
111
4.1
Graphical Descriptions of Discrete Distributions
112
4.2
Mean and Variance of a Discrete Random Variable
113
4.2.1
Expected Value of Discrete Random Variables
and Their Functions
113
4.2.2
The Moment-Generating Function-Expected Value of a
Special Function of X
115
4.3
The Discrete Uniform Distribution
117
4.4
The Hypergeometric Distribution
119
4.5
The Bernoulli Distribution
122
4.6
The Binomial Distribution
123
4.7
The Multinomial Distribution
126
4.8
The
Poisson
Distribution
128
4.8.1
Definition and Properties of the
Poisson
Distribution
128
4.8.2
Poisson
Process
128
4.8.3
Poisson
Distribution as a Limiting Form
of the Binomial
128
4.9
The Negative Binomial Distribution
132
4.10
Some Derivations and Proofs (Optional)
135
4.11
A Case Study
135
4.12
Using JMP
135
Review Practice Problems
136
TABLE
OF
CONTENTS
ІХ
Chapter
5
I Continuous
Kandóm
Variables and Some Important Continuous
Probability Distributions
143
5.1
Continuous Random Variables
144
5.2
Mean and Variance of Continuous Random Variables
146
5.2.1
Expected Value of Continuous Random Variables
and Their Function
146
5.2.2
The Moment-Generating Function-Expected Value of a Special
Function of X
149
5.3
Chebychev s Inequality
151
5.4
The Uniform Distribution
152
5.4.1
Definition and Properties
152
5.4.2
Mean and Standard Deviation of the Uniform Distribution
155
5.5
The Normal Distribution
157
5.5.1
Definition and Properties
157
5.5.2
The Standard Normal Distribution
158
5.5.3
The Moment-Generating Function of the Normal Distribution
164
5.6
Distribution of Linear Combination of Independent Normal Variables
165
5.7
Approximation of the Binomial and
Poisson
Distribution by
the Normal Distribution
169
5.7.1
Approximation of the Binomial Distribution by the Normal
Distribution
169
5.7.2
Approximation of the
Poisson
Distribution by the Normal
Distribution
171
5.8
A Test of Normality
171
5.9
Probability Models Commonly Used in Reliability Theory
175
5.9.1
The
Lognormal
Distribution
176
5.9.2
The Exponential Distribution
180
5.9.3
The Gamma Distribution
184
5.9.4
The Weibull Distribution
187
5.10
A Case Study
191
5.11
Using JMP
192
Review Practice Problems
192
Chapter
б
I Distribution of Functions of Random Variables
199
6.1
Introduction
200
6.2
Distribution Functions of Two Random Variables
200
6.2.1
Case of Two Discrete Random Variables
200
6.2.2
Case of Two Continuous Random Variables
202
6.2.3
The Mean Value and Variance of Functions of Two Random
Variables
204
6.2.4
Conditional Distributions
206
6.2.5
Correlation between Two Random Variables
208
6.2.6
Divariate
Normal Distribution
211
6.3
Extension to Several Random Variables
214
6.4
The Moment-Generating Function Revisited
214
Review Practice Problems
218
Chapter
7
I Sampling Distributions
223
7.1
Random Sampling
224
7.Î.1
Random Sampling from an Infinite Population
224
7.Î.2
Random Sampling from a Finite Population
225
X TABLE OF CONTENTS
7.2
The Sampling Distribution of the Mean
228
7.2.1
Normal Sampled Population
228
7.2.2 Nonnormal
Sampled Population
228
7.2.3
The Central Limit Theorem
228
7.3
Sampling from a Normal Population
234
7.3.1
The Chi-Square Distribution
234
7.3.2
The Student f-Distribution
240
7.3.3
Snedecoťs
F-Distribution
244
7.4
Order Statistics
247
7.5
Using JMP
247
Review Practice Problems
247
Chapter
8
I Estimation of Population Parameters
251
8.1
Introduction
252
8.2
Point Estimators for the Population Mean and Variance
252
8.2.1
Properties of Point Estimators
253
8.2.2
Methods of Finding Point Estimators
256
8.3
Interval Estimators for the Mean
μ
of a Normal Population
262
8.3.1
σ2
Known
262
8.3.2
(^Unknown
264
8.3.3
Sample Size Is Large
266
8.4
Interval Estimators for the Difference of Means of Two Normal
Populations
272
8.4.1
Variances Are Known
272
8.4.2
Variances Are Unknown
273
8.5
Interval Estimators for the Variance of a Normal Population
280
8.6
Interval Estimator for the Ratio of Variances of Two
Normal Populations
284
8.7
Point and Interval Estimators for the Parameters of
Binomial Populations
288
8.7.1
One Binomial Population
288
8.7.2
Two Binomial Populations
290
8.8
Determination of Sample Size
294
8.8.1
One Population Mean
294
8.8.2
Difference of Two Population Means
295
8.8.3
One Population Proportion
296
8.8.4
Difference of Two Population Proportions
296
8.9
Some Supplemental Information
298
8.10
A Case Study
298
8.11
Using JMP
299
Review Practice Problems
299
Chapters
!
Hypothesis Testing
307
9.1
Introduction
308
9.2
Basic Concepts of Testing a Statistical Hypothesis
308
9.2.1
Hypothesis Formulation
308
9.2.2
Risk Assessment
310
9.3
Tests Concerning the Mean of a Normal Population Having Known
Variance
312
9.3.1
Case of a One-Tail (Left-Sided) Test
312
93.2
Case of a One-Tail (Right-Sided) Test
316
9.3.3
Case of a Two-Tail Test
317
TABLE
OF
CONTENTS
Xi
9.4
Tests
Concerning the Mean of a Normal Population Having Unknown
Variance
324
9.4.1
Case of a Left-Tail Test
324
9.4.2
Case of a Right-Tail Test
326
9.4.3
The Two-Tail Case
326
9.5
Large Sample Theory
330
9.6
Tests Concerning the Difference of Means of Two Populations Having
Distributions with Known Variances
332
9.6.1
The Left-Tail Test
332
9.6.2
The Right-Tail Test
333
9.6.3
The Two-Tail Test
334
9.7
Tests Concerning the Difference of Means of Two Populations Having
Normal Distributions with Unknown Variances
339
9.7.1
Two Population Variances Are Equal
339
9.7.2
Two Population Variances Are Unequal
342
9.7.3
The Paired t-Test
344
9.8
Testing Population Proportions
349
9.8.1
Test Concerning One Population Proportion
349
9.8.2
Test Concerning the Difference between Two Population
Proportions
351
9.9
Tests Concerning the Variance of a Normal Population
355
9.10
Tests Concerning the Ratio of Variances of Two Normal Populations
358
9.11
Testing of Statistical Hypotheses Using Confidence Intervals
362
9.12
Sequential Tests of Hypotheses
367
9.12.1
A One-Tail Sequential Testing Procedure
367
9.12.2
A Two-Tail Sequential Testing Procedure
371
9.13
Casestudies
374
9.14
Using JMP
375
Review Practice Problems
375
PART II
Chapter
10
I elements of Reliability Theory
10.1
The Reliability Function
390
10.1.1
The Hazard Rate Function
391
10.1.2
Employing the Hazard Function
398
10.2
Estimation: Exponential Distribution
399
10.3
Hypothesis Testing: Exponential Distribution
406
10.4
Estimation: Weibull Distribution
407
10.5
Casestudies
414
10.6
Using JMP
416
Review Practice Problems
416
Chapter
11
I Statistical Quality Control—Phase I Control Charts
11.1
Basic Concepts of Quality and Its Benefits
420
11.2
What a Process Is and Some Valuable Took
420
11.2.1
CheckSheet
422
11.2.2
Pareto Chart
422
11.2.3
Cause-and-Effect (Fishbone or bhikawa) Diagram
11.2.4
Defect Concentration Diagram
427
11.3
Common and Assignable Causes
427
113Л
Process Evaluation
427
389
419
425
XU
TABLE
OF
CONTENTS
11.3.2
Action on
the Process
428
11.3.3
Action on
Output
428
11.3.4
Variation
428
11.4
Control Charts
429
11.4.1
Preparation for Use of Control Charts
430
11.4.2
Benefits of a Control Chart
431
11.4.3
Control Limits Versus Specification Limits
433
11.5
Control Charts for Variables
434
11.5.1
Shewhart X and
R
Control Charts
434
11.5.2
Shewhart X and
R
Control Charts When Process Mean
μ
and Process
Standard Deviation
σ
Are Known
440
11.5.3
Shewhart X and
S
Control Charts
441
11.6
Control Charts for Attributes
448
11.6.1
The
ρ
Chart: Control Chart for the Fraction of Nonconforming
Units
449
11.6.2
The
ρ
Chart: Control Chart for the Fraction Nonconforming with
Variable Sample Sizes
454
11.6.3
The np Control Chart: Control Chart for the Number of
Nonconforming Units
456
11.6.4
The
с
Control Chart
458
11.6.5
The
и
Control Chart
461
11.7
Process Capability
468
11.8
CaseStudies
470
11.9
Using JMP
472
Review Practice Problems
472
Chapter
12
I Statistical Quality Control—Phase II Control Charts
479
12.1
Introduction
480
12.2
Basic Concepts of CUSUM Control Chart
480
12.3
Designing a CUSUM Control Chart
483
12.3.1
Two-Sided CUSUM Control Chart Using a
Numerical Procedure
484
12.3.2
The Fast Initial Response (FIR) Feature for CUSUM
Control Chart
489
12.3.3
The Combined Shewhart-CUSUM Control Chart
492
12.3.4
The CUSUM Control Chart for Controlling Process Variability
493
12.4
The Moving Average (MA) Control Chart
495
12.5
The Exponentially Weighted Moving Average (EWMA) Control Chart
499
12.6
Case Studies
504
12.7
Using JMP
505
Review Practice Problems
506
Chapter
13
I Analysis of Categorical Data
509
13.1
Introduction
509
13.2
The Chi-Square Goodness-of-Fit Test
510
13.3
Contingency Tables
517
13.3.1
The
2
χ
2
Case Parameters Known
517
13.3.2
The
2x2
Case with Unknown Parameters
519
13.3.3
The
r x s
Contingency Table
521
13.4
Chi-Square Test for Homogeneity
525
13.5
Comments on the Distribution of the Lack-of-Fit Statistics
528
13.6
Case Studies
529
Review Practice Problems
531
TABLE
OF
CONTENTS
XIII
Chapter
14
і
Nonparametric Tests
537
14.1
Introduction
537
14.2
The Sign Test
538
14.2.1
One-Sample Test
538
14.2.2
The Wilcoxon Signed-Rank Test
541
14.2.3
Two-Sample Test
543
14.3
Mann-Whitney (Wilcoxon)
W
Test for Two Samples
548
14.4
Runs Test
551
14.4.1
Runs Above and Below the Median
551
14.4.2
The Wald-Wolfowitz Run Test
553
14.5
Spearman Rank Correlation
556
14.6
Using JMP
559
Review Practice Problems
559
Chapter
15
I Simple Linear Regression Analysis
565
15.1
Introduction
566
15.2
Fitting the Simple Linear Regression Model
567
15.2.1
Simple Linear Regression Model
567
15.2.2
Fitting a Straight Line by Least Squares
569
15.2.3
Sampling Distribution of the Estimators of Regression
Coefficients
573
15.3
Unbiased Estimator of
σ2
578
15.4
Further Inferences Concerning Regression Coefficients
(β0, βλ),
Е(У),
and
У
580
15.4.1
Confidence Interval for
βΛ
with Confidence
Coefficient
(1 -
a)
580
15.4.2
Confidence Interval for
β0
with Confidence
Coefficient
(1-а) 581
15.4.3
Confidence Interval for
Е(У|Х)
with Confidence
Coefficient
(1 -
a)
582
15.4.4
Prediction Interval for a Future Observation
У
with
Confidence Coefficient
(1 -
a)
585
15.5
Tests of Hypotheses for
ßo
and
βχ
590
15.5.1
Test of Hypotheses for
βλ
590
15.5.2
Test of Hypotheses for
ßQ 590
15.6
Analysis of Variance Approach to Simple Linear Regression Analysis
596
15.7
Residual Analysis
601
15.8
Transformations
609
15.9
Inference About
ρ
615
15.10
A Case Study
618
15.11
Using JMP
619
Review Practice Problems
619
Chapter
16
I Multiple Linear Regression Analysis
627
16.1
Introduction
628
16.2
Multiple Linear Regression Models
628
16.3
Estimation of Regression Coefficients
632
16.3.1
Estimation of Regression Coefficients Using
Matrix Notation
633
16.3.2
Properties of the Least-Squares Estimators
635
16.3.3
The Analysis of Variance Table
636
16.3.4
More Inferences about
Regresston
Coefficients
639
Xiv
TABLE
OF
CONTENTS
16.4
Multiple Linear Regression Model Using Quantitative and
Qualitative Predictor Variables
646
16.4.1
Single Qualitative Variable with Two Categories
646
16.4.2
Single Qualitative Variable with Three or More Categories
647
16.5
Standardized Regression Coefficients
658
16.5.1
Multicollinearity
660
16.5.2
Consequences of Multicollinearity
661
16.6
Building Regression Type Prediction Models
662
16.6.1
First Variable to Enter into the Model
662
16.7
Residual Analysis and Certain Criteria for Model Selection
665
16.7.1
Residual Analysis
665
16.7.2
Certain Criteria for Model Selection
667
16.8
Logistic Regression
672
16.9
CaseStudies
676
16.10
Using JMP
677
Review Practice Problems
678
Chapter
17
I Analysis of Variance
685
17.1
Introduction
686
17.2
The Design Models
686
17.2.1
Estimable Parameters
686
17.2.2
Estimable Functions
688
17.3
One-Way Experimental Layouts
689
17.3.1
The Model and Its Analysis
689
17.3.2
Confidence Intervals for Treatment Means
695
17.3.3
Multiple Comparisons
700
17.3.4
Determination of Sample Size
706
17.3.5
The Kruskal-Wallis Test for One-Way Layouts (Nonparametric
Method)
707
17.4
Randomized Complete Block Designs
710
17.4.1
The Friedman Fr-Test for Randomized Complete Block Design
(Nonparametric Method)
718
17.4.2
Experiments with One Missing Observation in an RCB-Design
Experiment
719
17.43
Experiments with Several Missing Observations in an
RCB-Design Experiment
719
17.5
Two-Way Experimental Layouts
722
17.5.1
Two-Way Experimental Layouts with One
Observation per Cell
724
17.52
Two-Way Experimental Layouts with
r
> 1
Observations per Cell
725
17.5.3
Blocking in Two-Way Experimental Layouts
734
17.5.4
Extending Two-Way Experimental Designs to n-Way
Experimental Layouts
734
17.6
Latin Square Designs
736
17.7
Random-Effects and Mixed-Effects Models
742
17.7.1
Random-Effects Model
742
17.7.2
Mixed-Effects Model
744
17.7.3
Nested (Hierarchical) Designs
746
17.8
A Case Study
752
17.9
Using JMP
753
Review Practice Problems
753
TABLE
OF
CONTENTS
XV
765
Chapter
18
I The
Ѓ
Factorial Designs
18.1
Introduction
766
18.2
The Factorial Designs
766
18.3
The 2k Factorial Design
768
18.4
Unreplicated
2*
Factorial Designs
776
18.5
Blocking in the 2k Factorial Design
782
18.5.1
Confounding in the
2*
Factorial Design
783
18.5.2
Yates s Algorithm for the 2k Factorial Designs
788
18.6
The
2*
Fractional Factorial Designs
790
18.6.1
One-half Replicate of a
2*
Factorial Design
790
18.6.2
One-quarter Replicate of a
2*
Factorial Design
795
18.7
Casestudies
799
18.8
Using JMP
801
Review Practice Problems
801
Chapter
19
I Response Surfaces
This chapter is not included in text, but is available for download via the book s
website: www.wiley.com/go/statsforengineers
Appendices
807
Appendix A I Statistical Tables
809
Appendix
6
I Answers to Selected Problems
845
Appendix
С
I Bibliography
863
Index
867
Introducing the tools of statistics
and probability from the ground up
An understanding of statistical tools is essential for engineers and scientists who often need to deal with
data analysis over the course of their work. Statistics and Probability with Applications for Engineers and
Scientists walks readers through a wide range of popular statistical techniques, explaining step-by-step how
to generate, analyze, and interpret data for diverse applications in engineering and the natural sciences.
Unique among books of this kind, Statistics and Probability with Applications for Engineers and
Scientists covers descriptive statistics first, then goes on to discuss the fundamentals of probability
theory. Along with case studies, examples, and real-world data sets, the book incorporates clear
instructions on how to use the statistical packages Minitab* and Microsoft* Office Excel* to analyze
various data sets. The book also features:
•
Detailed discussions on sampling distributions, statistical estimation of population parameters,
hypothesis testing, reliability theory, statistical quality control including Phase I and Phase II
control charts, and process capability indices
•
A clear presentation of nonparametric methods and simple and multiple linear regression
methods, as well as a brief discussion on logistic regression method
•
Comprehensive guidance on the design of experiments, including randomized block designs,
one- and two-way layout designs, Latin square designs, random effects and mixed effects
models, factorial and fractional factorial designs, and response surface methodology
•
A companion website containing data sets for all Minitab and Microsoft Office Excel, as well
as JMP* routines and results
Assuming no background in probability and statistics, Statistics and Probability with Applications for
Engineers and Scientists features a unique, yet tried-and-true, approach that is ideal for all undergraduate
students as well as statistical practitioners who analyze and illustrate real-world data in engineering and
the natural sciences.
BHISHAM
С
GUPTA, PhD, is Professor in the Department of Mathematics and Statistics at the
University of Southern Maine. Dr. Gupta has written four books and more than thirty articles.
IRWIN GUTTMAN,
PhD, is Professor Emeritus of Statistics in the Department of Mathematics at
the State University of New York at Buffalo and Department of Statistics at the University of Toronto,
Canada. Dr. Guttman has written five books and over
140
articles.
Cover Dfc Inc.
Cover Illustrations: Courtesy of Bhisham
С
Gupta
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ISBN
П7а-1-11й-ЧЬЧ0Ч-5
90000
Also available
as an e-book
9«781118Ч64О4
|
| any_adam_object | 1 |
| author | Gupta, Bhisham C. Guttman, Irwin |
| author_facet | Gupta, Bhisham C. Guttman, Irwin |
| author_role | aut aut |
| author_sort | Gupta, Bhisham C. |
| author_variant | b c g bc bcg i g ig |
| building | Verbundindex |
| bvnumber | BV041108452 |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273 |
| callnumber-search | QA273 |
| callnumber-sort | QA 3273 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 850 |
| ctrlnum | (OCoLC)856808088 (DE-599)BVBBV041108452 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV041108452 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:39:49Z |
| institution | BVB |
| isbn | 9781118464045 |
| language | English |
| lccn | 2012032883 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026084711 |
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| physical | XX, 876 S. Ill., graph. Darst. |
| publishDate | 2013 |
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| publisher | Wiley |
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| spelling | Gupta, Bhisham C. Verfasser aut Statistics and probability with applications for engineers and scientists Bhisham C. Gupta ; Irwin Guttman Hoboken, NJ Wiley 2013 XX, 876 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 863 - 866. - Wird erg. durch: Gupta, Bhisham C.: Solutions manual to accompany statistics and probability with applications for engineers and scientistengineers and scientist Probabilities Mathematical statistics MATHEMATICS / Probability & Statistics / General bisacsh Statistik (DE-588)4056995-0 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Statistik (DE-588)4056995-0 s Anwendung (DE-588)4196864-5 s Naturwissenschaften (DE-588)4041421-8 s Ingenieurwissenschaften (DE-588)4137304-2 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Guttman, Irwin Verfasser aut http://catalogimages.wiley.com/images/db/jimages/9781118464045.jpg Cover image Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026084711&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026084711&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Gupta, Bhisham C. Guttman, Irwin Statistics and probability with applications for engineers and scientists Probabilities Mathematical statistics MATHEMATICS / Probability & Statistics / General bisacsh Statistik (DE-588)4056995-0 gnd Anwendung (DE-588)4196864-5 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Naturwissenschaften (DE-588)4041421-8 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4196864-5 (DE-588)4064324-4 (DE-588)4041421-8 (DE-588)4137304-2 |
| title | Statistics and probability with applications for engineers and scientists |
| title_auth | Statistics and probability with applications for engineers and scientists |
| title_exact_search | Statistics and probability with applications for engineers and scientists |
| title_full | Statistics and probability with applications for engineers and scientists Bhisham C. Gupta ; Irwin Guttman |
| title_fullStr | Statistics and probability with applications for engineers and scientists Bhisham C. Gupta ; Irwin Guttman |
| title_full_unstemmed | Statistics and probability with applications for engineers and scientists Bhisham C. Gupta ; Irwin Guttman |
| title_short | Statistics and probability with applications for engineers and scientists |
| title_sort | statistics and probability with applications for engineers and scientists |
| topic | Probabilities Mathematical statistics MATHEMATICS / Probability & Statistics / General bisacsh Statistik (DE-588)4056995-0 gnd Anwendung (DE-588)4196864-5 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Naturwissenschaften (DE-588)4041421-8 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| topic_facet | Probabilities Mathematical statistics MATHEMATICS / Probability & Statistics / General Statistik Anwendung Wahrscheinlichkeitsrechnung Naturwissenschaften Ingenieurwissenschaften |
| url | http://catalogimages.wiley.com/images/db/jimages/9781118464045.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026084711&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026084711&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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