Probability and statistics in experimental physics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2001
|
| Edition: | 2. ed. |
| Series: | Undergraduate texts in contemporary physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 252 S. graph. Darst. |
| ISBN: | 0387951636 |
Staff View
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| 245 | 1 | 0 | |a Probability and statistics in experimental physics |c Byron P. Roe |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 2001 | |
| 300 | |a XI, 252 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1816444420231266304 |
|---|---|
| adam_text |
CONTENTS
PREFACE
.
V
1.
BASIC
PROBABILITY
CONCEPTS
.
1
2.
SOME
INITIAL
DEFINITIONS
.
5
2.1
WORKED
PROBLEMS
.
10
2.2
EXERCISES
.
13
3.
SOME
RESULTS
INDEPENDENT
OF
SPECIFIC
DISTRIBUTIONS
.
15
3.1
MULTIPLE
SCATTERING
AND
THE
ROOT
N
LAW
.
15
3.2
PROPAGATION
OF
ERRORS;
ERRORS
WHEN
CHANGING
VARIABLES
.
19
3.3
SOME
USEFUL
INEQUALITIES
.
21
3.4
WORKED
PROBLEMS
.
23
3.5
EXERCISES
.
26
4.
DISCRETE
DISTRIBUTIONS
AND
COMBINATORIALS
.
29
4.1
WORKED
PROBLEMS
.
32
4.2
EXERCISES
.
33
5.
SPECIFIC
DISCRETE
DISTRIBUTIONS
.
35
5.1
BINOMIAL
DISTRIBUTION
.
35
5.2
POISSON
DISTRIBUTION
.
37
5.3
WORKED
PROBLEMS
.
39
5.4
EXERCISES
.
42
6.
THE
NORMAL
(OR
GAUSSIAN)
DISTRIBUTION
AND
OTHER
CONTINUOUS
DISTRIBUTIONS
.
44
6.1
THE
NORMAL
DISTRIBUTION
.
44
6.2
THE
CHI-SQUARE
DISTRIBUTION
.
47
6.3
F
DISTRIBUTION
.
49
6.4
STUDENT
'
S
DISTRIBUTION
.
51
6.5
THE
UNIFORM
DISTRIBUTION
.
51
6.6
THE
LOG-NORMAL
DISTRIBUTION
.
52
VIII
CONTENTS
6.7
THE
CAUCHY
DISTRIBUTION
(BREIT-WIGNER
DISTRIBUTION)
.
53
6.8
WORKED
PROBLEMS
.
55
6.9
EXERCISES
.
56
7.
GENERATING
FUNCTIONS
AND
CHARACTERISTIC
FUNCTIONS
.
58
7.1
INTRODUCTION
.
58
7.2
CONVOLUTIONS
AND
COMPOUND
PROBABILITY
.
58
7.3
GENERATING
FUNCTIONS
.
60
7.4
CHARACTERISTIC
FUNCTIONS
.
62
7.5
EXERCISES
.
65
8.
THE
MONTE
CARLO
METHOD:
COMPUTER
SIMULATION
OF
EXPERIMENTS
.
66
8.1
USING
THE
DISTRIBUTION
INVERSE
.
66
8.2
METHOD
OF
COMPOSITION
.
67
8.3
ACCEPTANCE
REJECTION
METHOD
.
69
8.4
COMPUTER
PSEUDORANDOM
NUMBER
GENERATORS
.
70
8.5
UNUSUAL
APPLICATION
OF
A
PSEUDORANDOM
NUMBER
STRING
.
73
8.6
WORKED
PROBLEMS
.
75
8.7
EXERCISES
.
77
9.
QUEUEING
THEORY
AND
OTHER
PROBABILITY
QUESTIONS
.
81
9.1
QUEUEING
THEORY
.
81
9.2
MARKOV
CHAINS
.
84
9.3
GAMES
OF
CHANCE
.
87
9.4
GAMBLER
'
S
RUIN
.
89
9.5
EXERCISES
.
91
10.
TWO-DIMENSIONAL
AND
MULTIDIMENSIONAL
DISTRIBUTIONS
.
92
10.1
INTRODUCTION
.
92
10.2
TWO-DIMENSIONAL
DISTRIBUTIONS
.
92
CONTENTS
IX
10.3
MULTIDIMENSIONAL
DISTRIBUTIONS
.
99
10.4
THEOREMS
ON
SUMS
OF
SQUARES
.
103
10.5
EXERCISES
.
105
11.
THE
CENTRAL
LIMIT
THEOREM
.
107
11.1
INTRODUCTION;
LINDEBERG
CRITERION
.
107
11.2
FAILURES
OF
THE
CENTRAL
LIMIT
THEOREM
.
110
11.3
KHINTCHINE
'
S
LAW
OF
THE
ITERATED
LOGARITHM
.
115
11.4
WORKED
PROBLEMS
.
116
11.5
EXERCISES
.
118
12.
INVERSE
PROBABILITY;
CONFIDENCE
LIMITS
.
119
12.1
BAYES
'
THEOREM
.
119
12.2
THE
PROBLEM
OF
A
PRIORI
PROBABILITY
.
120
12.3
CONFIDENCE
INTERVALS
AND
THEIR
INTERPRETATION
.
122
12.4
USE
OF
CONFIDENCE
INTERVALS
FOR
DISCRETE
DISTRIBUTIONS
.
128
12.5
IMPROVING
ON
THE
SYMMETRIC
TAILS
CONFIDENCE
LIMITS
.
131
12.6
WHEN
IS
A
SIGNAL
SIGNIFICANT?
.
138
12.7
WORKED
PROBLEMS
.
141
12.8
EXERCISES
.
145
13.
METHODS
FOR
ESTIMATING
PARAMETERS.
LEAST
SQUARES
AND
MAXIMUM
LIKELIHOOD
.
146
13.1
METHOD
OF
LEAST
SQUARES
(REGRESSION
ANALYSIS)
.
146
13.2
MAXIMUM
LIKELIHOOD
METHOD
.
148
13.3
FURTHER
CONSIDERATIONS
IN
FITTING
HISTOGRAMS
.
156
13.4
IMPROVEMENT
OVER
SYMMETRIC
TAILS
CONFIDENCE
LIMITS
FOR
EVENTS
WITH
PARTIAL
BACKGROUND-SIGNAL
SEPARATION
.
158
13.5
ESTIMATION
OF
A
CORRELATION
COEFFICIENT
.
162
13.6
PUTTING
TOGETHER
SEVERAL
PROBABILITY
ESTIMATES
.
162
13.7
WORKED
PROBLEMS
.
164
13.8
EXERCISES
.
167
X
CONTENTS
14.
CURVE
FITTING
.
170
14.1
THE
MAXIMUM
LIKELIHOOD
METHOD
FOR
MULTIPARAMETER
PROBLEMS
.
170
14.2
REGRESSION
ANALYSIS
WITH
NON-CONSTANT
VARIANCE
.
173
14.3
THE
GIBB
'
S
PHENOMENON
.
178
14.4
THE
REGULARIZATION
METHOD
.
180
14.5
OTHER
REGULARIZATION
SCHEMES
.
182
14.6
FITTING
DATA
WITH
ERRORS
IN
BOTH
X
AND
Y
.
184
14.7
NON-LINEAR
PARAMETERS
.
186
14.8
OPTIMIZING
A
DATA
SET
WITH
SIGNAL
AND
BACKGROUND
.
191
14.9
ROBUSTNESS
OF
ESTIMATES
.
194
14.10
WORKED
PROBLEMS
.
195
14.11
EXERCISES
.
198
15.
BARTLETT
S
FUNCTION;
ESTIMATING
LIKELIHOOD
RATIOS
NEEDED
FOR
AN
EXPERIMENT
.
201
15.1
INTRODUCTION
.
201
15.2
THE
JACKNIFE
.
201
15.3
MAKING
THE
DISTRIBUTION
FUNCTION
OF
THE
ESTIMATE
CLOSE
TO
NORMAL;
THE
BARTLETT
S
FUNCTION
.
202
15.4
LIKELIHOOD
RATIO
.
208
15.5
ESTIMATING
IN
ADVANCE
THE
NUMBER
OF
EVENTS
NEEDED
FOR
AN
EXPERIMENT
.
209
15.6
EXERCISES
.
212
16.
INTERPOLATING
FUNCTIONS
AND
UNFOLDING
PROBLEMS
.
213
16.1
INTERPOLATING
FUNCTIONS
.
213
16.2
SPLINE
FUNCTIONS
.
213
16.3
B-SPLINES
.
215
16.4
UNFOLDING
DATA
.
216
16.5
EXERCISES
.
219
CONTENTS
XI
17.
FITTING
DATA
WITH
CORRELATIONS
AND
CONSTRAINTS
.
221
17.1
INTRODUCTION
.
221
17.2
GENERAL
EQUATIONS
FOR
MINIMIZATION
.
223
17.3
ITERATIONS
AND
CORRELATION
MATRICES
.
224
18.
BEYOND
MAXIMUM
LIKELIHOOD
AND
LEAST
SQUARES;
ROBUST
METHODS
.
231
18.1
INTRODUCTION
.
231
18.2
TESTS
ON
THE
DISTRIBUTION
FUNCTION
.
231
18.3
TESTS
BASED
ON
THE
BINOMIAL
DISTRIBUTION
.
238
18.4
TESTS
BASED
ON
THE
DISTRIBUTIONS
OF
DEVIATIONS
IN
INDIVIDUAL
BINS
OF
A
HISTOGRAM
.
239
18.5
EXERCISES
.
241
REFERENCES
.
243
INDEX
.
247 |
| any_adam_object | 1 |
| author | Roe, Byron P. |
| author_facet | Roe, Byron P. |
| author_role | aut |
| author_sort | Roe, Byron P. |
| author_variant | b p r bp bpr |
| building | Verbundindex |
| bvnumber | BV013902927 |
| callnumber-first | Q - Science |
| callnumber-label | QC33 |
| callnumber-raw | QC33 |
| callnumber-search | QC33 |
| callnumber-sort | QC 233 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 950 |
| classification_tum | PHY 015f |
| ctrlnum | (OCoLC)45023264 (DE-599)BVBBV013902927 |
| dewey-full | 530/.078 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530/.078 |
| dewey-search | 530/.078 |
| dewey-sort | 3530 278 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 2. ed. |
| format | Book |
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| genre_facet | Aufgabensammlung |
| id | DE-604.BV013902927 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:26:29Z |
| institution | BVB |
| isbn | 0387951636 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009514395 |
| oclc_num | 45023264 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-91G DE-BY-TUM DE-634 |
| owner_facet | DE-703 DE-29T DE-91G DE-BY-TUM DE-634 |
| physical | XI, 252 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in contemporary physics |
| spelling | Roe, Byron P. Verfasser aut Probability and statistics in experimental physics Byron P. Roe 2. ed. New York [u.a.] Springer 2001 XI, 252 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in contemporary physics Physique - Expériences - Technique Physique statistique Probabilités Physics Experiments Technique Probabilities Statistical physics Physik (DE-588)4045956-1 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Experimentalphysik (DE-588)4132579-5 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Statistik (DE-588)4056995-0 s Experimentalphysik (DE-588)4132579-5 s DE-604 Wahrscheinlichkeit (DE-588)4137007-7 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 2\p DE-604 Physik (DE-588)4045956-1 s 3\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009514395&sequence=000001&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 | Roe, Byron P. Probability and statistics in experimental physics Physique - Expériences - Technique Physique statistique Probabilités Physics Experiments Technique Probabilities Statistical physics Physik (DE-588)4045956-1 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Experimentalphysik (DE-588)4132579-5 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4137007-7 (DE-588)4132579-5 (DE-588)4064324-4 (DE-588)4056995-0 (DE-588)4143389-0 |
| title | Probability and statistics in experimental physics |
| title_auth | Probability and statistics in experimental physics |
| title_exact_search | Probability and statistics in experimental physics |
| title_full | Probability and statistics in experimental physics Byron P. Roe |
| title_fullStr | Probability and statistics in experimental physics Byron P. Roe |
| title_full_unstemmed | Probability and statistics in experimental physics Byron P. Roe |
| title_short | Probability and statistics in experimental physics |
| title_sort | probability and statistics in experimental physics |
| topic | Physique - Expériences - Technique Physique statistique Probabilités Physics Experiments Technique Probabilities Statistical physics Physik (DE-588)4045956-1 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Experimentalphysik (DE-588)4132579-5 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Physique - Expériences - Technique Physique statistique Probabilités Physics Experiments Technique Probabilities Statistical physics Physik Wahrscheinlichkeit Experimentalphysik Wahrscheinlichkeitsrechnung Statistik Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009514395&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT roebyronp probabilityandstatisticsinexperimentalphysics |