Fuzzy probability and statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2006
|
| Schriftenreihe: | Studies in fuzziness and soft computing
196 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIII, 270 S. graph. Darst. 25 cm |
| ISBN: | 9783540308416 3540308415 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV021576036 | ||
| 003 | DE-604 | ||
| 005 | 20060621 | ||
| 007 | t | ||
| 008 | 060510s2006 gw d||| |||| 00||| eng d | ||
| 015 | |a 05,N50,0014 |2 dnb | ||
| 015 | |a 06,A15,0902 |2 dnb | ||
| 016 | 7 | |a 977129950 |2 DE-101 | |
| 020 | |a 9783540308416 |c Pp. : EUR 96.25 (freier Pr.), ca. sfr 152.50 (freier Pr. |9 978-3-540-30841-6 | ||
| 020 | |a 3540308415 |c Pp. : EUR 96.25 (freier Pr.), ca. sfr 152.50 (freier Pr.) |9 3-540-30841-5 | ||
| 024 | 3 | |a 9783540308416 | |
| 028 | 5 | 2 | |a 11598152 |
| 035 | |a (OCoLC)64572016 | ||
| 035 | |a (DE-599)BVBBV021576036 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BW | ||
| 049 | |a DE-824 |a DE-703 |a DE-634 | ||
| 050 | 0 | |a QA276.5 | |
| 082 | 0 | |a 519.5 |2 22 | |
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Buckley, James J. |d 1936- |e Verfasser |0 (DE-588)120637871 |4 aut | |
| 245 | 1 | 0 | |a Fuzzy probability and statistics |c James J. Buckley |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2006 | |
| 300 | |a XIII, 270 S. |b graph. Darst. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Studies in fuzziness and soft computing |v 196 | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Mathématiques floues | |
| 650 | 4 | |a Probabilités | |
| 650 | 4 | |a Statistique floue | |
| 650 | 4 | |a Fuzzy mathematics | |
| 650 | 4 | |a Fuzzy statistics | |
| 650 | 4 | |a Probabilities | |
| 650 | 0 | 7 | |a Fuzzy-Statistik |0 (DE-588)4779113-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fuzzy-Wahrscheinlichkeit |0 (DE-588)4728168-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Fuzzy-Statistik |0 (DE-588)4779113-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Fuzzy-Wahrscheinlichkeit |0 (DE-588)4728168-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Studies in fuzziness and soft computing |v 196 |w (DE-604)BV021858135 |9 196 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014791782&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014791782 | ||
Datensatz im Suchindex
| _version_ | 1804135345196892160 |
|---|---|
| adam_text | JAMES J. BUCKLEY
FUZZY PROBABILITY
AND STATISTICS
~
EEX
WJ.J:.:RR -IV
YY:
CONTENTS
INTRODUCTIO
N 1
1.1 INTRODUCTION 1
1.2 NOTATION 3
1.3 PREVIOUS RESEARCH 4
1.4 FIGURES 4
1.5 MAPLE/SOLVER COMMANDS 5
1.6 REFERENCES 5
FUZZ
Y SET
S 7
2.1 INTRODUCTION 7
2.2 FUZZY SETS 7
2.2.1 FUZZY NUMBERS 8
2.2.2 ALPHA-CUT
S 10
2.2.3 INEQUALITIES : 10
2.2.4 DISCRETE FUZZY SETS 11
2.3 FUZZY ARITHMETIC 11
2.3.1 EXTENSION PRINCIPLE 11
2.3.2 INTERVAL ARITHMETIC 12
2.3.3 FUZZY ARITHMETIC 13
2.4 FUZZY FUNCTIONS 13
2.4.1 EXTENSION PRINCIPLE 14
2.4.2 ALPHA-CUT
S AND INTERVAL ARITHMETIC 15
2.4.3 DIFFERENCES 16
2.5 ORDERING FUZZY NUMBERS 17
2.6 REFERENCES 18
FUZZ
Y PROBABILIT
Y THEOR
Y 21
3.1 INTRODUCTION 21
3.2 FUZZY PROBABILITIES
FROM CONFIDENCE INTERVALS 21
3.3 FUZZY PROBABILITIES FROM EXPERT OPINION 23
3.4 RESTRICTED FUZZY ARITHMETIC 24
3.4.1 PROBABILITIES 24
VIII
CONTENTS
3.4.2 RESTRICTE
D ARITHMETIC
: GENERA
L 25
3.4.3 COMPUTIN
G FUZZY PROBABILITIE
S 26
3.5 FUZZY PROBABILIT
Y 32
3.6 FUZZY CONDITIONA
L PROBABILIT
Y 36
3.7 FUZZY INDEPENDENC
E 38
3.8 FUZZY BAYES
FORMUL
A 40
3.9 APPLICATION
S 41
3.9.1 BLOOD TYPE
S 41
3.9.2 RESISTANC
E T
O SURVEY
S 4
3
3.9.3 TESTIN
G FOR HIV 43
3.9.4 COLOR BLINDNES
S 45
3.9.5 FUZZY BAYES 47
3.10 REFERENCES 48
4 DISCRET
E FUZZ
Y RANDO
M VARIABLE
S 5
1
4.1 INTRODUCTIO
N 51
4.2 FUZZY BINOMIA
L 51
4.3 FUZZY POISSON 54
4.4 APPLICATION
S 57
4.4.1 FUZZY POISSO
N APPROXIMATIN
G FUZZY BINOMIA
L 57
4.4.2 OVERBOOKIN
G 58
4.4.3 RAPI
D RESPONS
E TEA
M 59
4.5 REFERENCES 60
5 CONTINUOU
S FUZZ
Y
RANDO
M
VARIABLE
S 6
1
5.1 INTRODUCTIO
N 61
5.2 FUZZY UNIFORM 61
5.3 FUZZY NORMA
L 6
3
5.4 FUZZY NEGATIV
E EXPONENTIA
L 65
5.5 APPLICATION
S 67
5.5.1 FUZZY UNIFORM 67
5.5.2 FUZZY NORMA
L APPROXIMATIO
N T
O FUZZY BINOMIA
L ..
. 67
5.5.3 FUZZY NORMA
L APPROXIMATIO
N T
O FUZZY POISSON ...
. 70
5.5.4 FUZZY NORMA
L 72
5.5.5 FUZZY NEGATIV
E EXPONENTIA
L 73
5.6 REFERENCES 74
6 ESTIMAT
E
/I,
VARIANC
E KNOW
N 7
5
6.1 INTRODUCTIO
N 75
6.2 FUZZY ESTIMATIO
N 75
6.3 FUZZY ESTIMATO
R OF /I 76
6.4 REFERENCES 79
CONTENTS
IX
7 ESTIMAT
E
//,
VARIANCE UNKNOW
N 81
7.1 FUZZY ESTIMATOR OF
FJ,
81
7.2 REFERENCES 83
8 ESTIMAT
E
P,
BINOMIA
L POPULATIO
N 85
8.1 FUZZY ESTIMATOR OF
P
85
8.2 REFERENCES 87
9 ESTIMAT
E
A
2
FROM A NORMA
L POPULATIO
N 89
9.1 INTRODUCTION 89
9.2 BIASED FUZZY ESTIMATOR 89
9.3 UNBIASED FUZZY ESTIMATOR 90
9.4 REFERENCES 94
10 FUZZY ARRIVAL/SERVIC
E RATE
S 95
10.1 INTRODUCTION 95
10.2 FUZZY ARRIVAL RATE 95
10.3 FUZZY SERVICE RATE 97
10.4 REFERENCES 99
11 FUZZY UNIFOR
M 101
11.1 INTRODUCTION 101
11.2 FUZZY ESTIMATORS 101
11.2.1 DETAILS 101
11.3 REFERENCES 105
12 FUZZY MA
X ENTROP
Y PRINCIPL
E 107
12.1 INTRODUCTION 107
12.2 MAXIMUM ENTROPY PRINCIPLE 107
12.2.1 DISCRETE PROBABILITY DISTRIBUTIONS 107
12.2.2 CONTINUOUS PROBABILITY DISTRIBUTIONS 109
12.3 IMPRECISE SIDE-CONDITIONS IL
L
12.3.1 DISCRETE PROBABILITY DISTRIBUTIONS IL
L
12.3.2 CONTINUOUS PROBABILITY DISTRIBUTIONS 112
12.4 SUMMARY AND CONCLUSIONS 113
12.5 REFERENCES 114
13 MA
X ENTROPY: CRISP DISCRET
E SOLUTION
S 115
13.1 INTRODUCTION 115
13.2 MAX ENTROPY: DISCRETE DISTRIBUTIONS 115
13.3 MAX ENTROPY: IMPRECISE SIDE-CONDITIONS 116
13.4 SUMMARY AND CONCLUSIONS 123
13.5 REFERENCES 123
X
CONTENTS
14 MAX ENTROPY: CRISP CONTINUOU
S SOLUTION
S 125
14.1 INTRODUCTION 125
14.2 MAX ENTROPY: PROBABILITY DENSITIES 126
14.3 MAX ENTROPY: IMPRECISE SIDE-CONDITIONS . 127
14.4
E=[0,M]
127
14.5
E=[0,OO)
135
14.6
E
= (-OO
, OO) 139
14.7 SUMMARY AND CONCLUSIONS 140
14.8 REFERENCES 140
15 TEST
S O
N
FI,
VARIANCE KNOW
N 143
15.1 INTRODUCTION 143
15.2 NON-FUZZY CASE 143
15.3 FUZZY CASE 144
15.4 ONE-SIDED TESTS 148
15.5 REFERENCES 149
16 TESTS O
N
N,
VARIANCE UNKNOW
N 151
16.1 INTRODUCTION 151
16.2 CRISP CASE 151
16.3 FUZZY MODEL 152
16.3.1
T[A]
FOR NON-POSITIVE INTERVALS 153
16.4 REFERENCES 157
17 TEST
S O
N
P
FOR A BINOMIA
L POPULATIO
N 159
17.1 INTRODUCTION 159
17.2 NON-FUZZY TEST 159
17.3 FUZZY TEST 160
17.4 REFERENCES 162
18 TESTS O
N
A
2
,
NORMA
L POPULATIO
N 163
18.1 INTRODUCTION 163
18.2 CRISP HYPOTHESIS TEST 163
18.3 FUZZY HYPOTHESIS TEST 164
18.4 REFERENCES 166
19 FUZZY CORRELATION 167
19.1 INTRODUCTION 167
19.2 CRISP RESULTS 167
19.3 FUZZY THEORY 168
19.4 REFERENCES 170
CONTENTS
XI
20 ESTIMATIO
N IN SIMPLE LINEAR REGRESSIO
N 171
20.1 INTRODUCTION 171
20.2 FUZZY ESTIMATORS 172
20.3 REFERENCES 175
21 FUZZY PREDICTIO
N IN LINEAR REGRESSIO
N 177
21.1 PREDICTION 177
21.2 REFERENCES 179
22 HYPOTHESI
S TESTIN
G IN REGRESSIO
N 181
22.1 INTRODUCTION 181
22.2 TESTS ON A 181
22.3 TESTS ON 6 183
22.4 REFERENCES 185
23 ESTIMATIO
N IN MULTIPL
E REGRESSIO
N 187
23.1 INTRODUCTION 187
23.2 FUZZY ESTIMATORS 188
23.3 REFERENCES 192
24 FUZZY PREDICTIO
N IN REGRESSIO
N 193
24.1 PREDICTION 193
24.2 REFERENCES 195
25 HYPOTHESI
S TESTIN
G IN REGRESSIO
N 197
25.1 INTRODUCTION 197
25.2 TESTS ON 6 197
25.3 TESTS ON C 199
25.4 REFERENCES 201
26 FUZZY ONE-WAY ANOV
A 203
26.1 INTRODUCTION 203
26.2 CRISP HYPOTHESIS TEST 203
26.3 FUZZY HYPOTHESIS TEST 204
26.4 REFERENCES 207
27 FUZZY TWO-WAY ANOV
A 209
27.1 INTRODUCTION 209
27.2 CRISP HYPOTHESIS TESTS 209
27.3 FUZZY HYPOTHESIS TESTS 211
27.4 REFERENCES 217
XII
CONTENTS
28 FUZZY ESTIMATO
R FOR TH
E MEDIA
N 219
28.1 INTRODUCTION 219
28.2 CRISP ESTIMATOR FOR THE MEDIAN 219
28.3 FUZZY ESTIMATOR 220
28.4 REFERENCE 221
29 RANDO
M FUZZY NUMBER
S 223
29.1 INTRODUCTION 223
29.2 RANDOM FUZZY NUMBERS 224
29.3 TESTS FOR RANDOMNESS 225
29.3.1 RNGENERATOR 227
29.3.2 RNANALYSIS 228
29.4 MONTE CARLO STUDY 230
29.5 REFERENCES 233
30 SELECTE
D MAPLE/SOLVE
R COMMAND
S 235
30.1 INTRODUCTION 235
30.2 SOLVER 235
30.2.1 EXAMPLE 13.3.1 235
30.2.2 EXAMPLE 13.3.2 236
30.2.3 EXAMPLE 13.3.3 236
30.2.4 EXAMPLE 13.3.4 236
30.2.5 PROBLEMS 237
30.3 MAPLE 237
30.3.1 CHAPTER 3 237
30.3.2 CHAPTER 4 239
30.3.3 CHAPTER 5 240
30.3.4 CHAPTER 6 240
30.3.5 CHAPTER 7 241
30.3.6 CHAPTER 8 241
30.3.7 CHAPTER 9 241
30.3.8 CHAPTER 10 242
30.3.9 CHAPTERS 11-13 242
30.3.10 CHAPTER 14 243
30.3.11 CHAPTER 15 244
30.3.12 CHAPTER 16 245
30.3.13 CHAPTER 17 245
30.3.14 CHAPTER 18 246
30.3.15 CHAPTER 19 247
30.3.16 CHAPTER 20 247
30.3.17 CHAPTER 21 248
30.3.18 CHAPTER 22 248
30.3.19 CHAPTER 23 249
30.3.20 CHAPTER 24 249
30.3.21 CHAPTER 25 250
CONTENTS
XIII
30.3.22 CHAPTER 26 250
30.3.23 CHAPTER 27 250
30.3.24 CHAPTER 28 251
30.3.25 CHAPTER 29 251
30.4 REFERENCES 251
3
1 SUMMAR
Y AN
D FUTUR
E RESEARC
H 25
3
31.1 SUMMARY 253
31.2 FUTURE RESEARCH 254
31.2.1 FUZZY PROBABILITY 254
31.2.2 UNBIASED FUZZY ESTIMATORS 254
31.2.3 COMPARING FUZZY NUMBERS 255
31.2.4 NO DECISION CONCLUSION 255
31.2.5 FUZZY UNIFORM 255
31.2.6 INTERVAL ARITHMETIC 255
31.2.7 FUZZY PREDICTION 255
31.2.8 FUZZY ANOVA 256
31.2.9 NONPARAMETRIC STATISTICS 256
31.2.10 RANDOMNESS TESTS FUZZY NUMBERS 256
31.2.11 FUTUR
E 256
31.3 REFERENCES 256
INDEX 257
LIST OF FIGURES 265
LIST OF TABLES 269
|
| adam_txt |
JAMES J. BUCKLEY
FUZZY PROBABILITY
AND STATISTICS
~
EEX
WJ.J:.:RR\-IV
YY:
CONTENTS
INTRODUCTIO
N 1
1.1 INTRODUCTION 1
1.2 NOTATION 3
1.3 PREVIOUS RESEARCH 4
1.4 FIGURES 4
1.5 MAPLE/SOLVER COMMANDS 5
1.6 REFERENCES 5
FUZZ
Y SET
S 7
2.1 INTRODUCTION 7
2.2 FUZZY SETS 7
2.2.1 FUZZY NUMBERS 8
2.2.2 ALPHA-CUT
S 10
2.2.3 INEQUALITIES : 10
2.2.4 DISCRETE FUZZY SETS 11
2.3 FUZZY ARITHMETIC 11
2.3.1 EXTENSION PRINCIPLE 11
2.3.2 INTERVAL ARITHMETIC 12
2.3.3 FUZZY ARITHMETIC 13
2.4 FUZZY FUNCTIONS 13
2.4.1 EXTENSION PRINCIPLE 14
2.4.2 ALPHA-CUT
S AND INTERVAL ARITHMETIC 15
2.4.3 DIFFERENCES 16
2.5 ORDERING FUZZY NUMBERS 17
2.6 REFERENCES 18
FUZZ
Y PROBABILIT
Y THEOR
Y 21
3.1 INTRODUCTION 21
3.2 FUZZY PROBABILITIES
FROM CONFIDENCE INTERVALS 21
3.3 FUZZY PROBABILITIES FROM EXPERT OPINION 23
3.4 RESTRICTED FUZZY ARITHMETIC 24
3.4.1 PROBABILITIES 24
VIII
CONTENTS
3.4.2 RESTRICTE
D ARITHMETIC
: GENERA
L 25
3.4.3 COMPUTIN
G FUZZY PROBABILITIE
S 26
3.5 FUZZY PROBABILIT
Y 32
3.6 FUZZY CONDITIONA
L PROBABILIT
Y 36
3.7 FUZZY INDEPENDENC
E 38
3.8 FUZZY BAYES
' FORMUL
A 40
3.9 APPLICATION
S 41
3.9.1 BLOOD TYPE
S 41
3.9.2 RESISTANC
E T
O SURVEY
S 4
3
3.9.3 TESTIN
G FOR HIV 43
3.9.4 COLOR BLINDNES
S 45
3.9.5 FUZZY BAYES 47
3.10 REFERENCES 48
4 DISCRET
E FUZZ
Y RANDO
M VARIABLE
S 5
1
4.1 INTRODUCTIO
N 51
4.2 FUZZY BINOMIA
L 51
4.3 FUZZY POISSON 54
4.4 APPLICATION
S 57
4.4.1 FUZZY POISSO
N APPROXIMATIN
G FUZZY BINOMIA
L 57
4.4.2 OVERBOOKIN
G 58
4.4.3 RAPI
D RESPONS
E TEA
M 59
4.5 REFERENCES 60
5 CONTINUOU
S FUZZ
Y
RANDO
M
VARIABLE
S 6
1
5.1 INTRODUCTIO
N 61
5.2 FUZZY UNIFORM 61
5.3 FUZZY NORMA
L 6
3
5.4 FUZZY NEGATIV
E EXPONENTIA
L 65
5.5 APPLICATION
S 67
5.5.1 FUZZY UNIFORM 67
5.5.2 FUZZY NORMA
L APPROXIMATIO
N T
O FUZZY BINOMIA
L .
. 67
5.5.3 FUZZY NORMA
L APPROXIMATIO
N T
O FUZZY POISSON .
. 70
5.5.4 FUZZY NORMA
L 72
5.5.5 FUZZY NEGATIV
E EXPONENTIA
L 73
5.6 REFERENCES 74
6 ESTIMAT
E
/I,
VARIANC
E KNOW
N 7
5
6.1 INTRODUCTIO
N 75
6.2 FUZZY ESTIMATIO
N 75
6.3 FUZZY ESTIMATO
R OF /I 76
6.4 REFERENCES 79
CONTENTS
IX
7 ESTIMAT
E
//,
VARIANCE UNKNOW
N 81
7.1 FUZZY ESTIMATOR OF
FJ,
81
7.2 REFERENCES 83
8 ESTIMAT
E
P,
BINOMIA
L POPULATIO
N 85
8.1 FUZZY ESTIMATOR OF
P
85
8.2 REFERENCES 87
9 ESTIMAT
E
A
2
FROM A NORMA
L POPULATIO
N 89
9.1 INTRODUCTION 89
9.2 BIASED FUZZY ESTIMATOR 89
9.3 UNBIASED FUZZY ESTIMATOR 90
9.4 REFERENCES 94
10 FUZZY ARRIVAL/SERVIC
E RATE
S 95
10.1 INTRODUCTION 95
10.2 FUZZY ARRIVAL RATE 95
10.3 FUZZY SERVICE RATE 97
10.4 REFERENCES 99
11 FUZZY UNIFOR
M 101
11.1 INTRODUCTION 101
11.2 FUZZY ESTIMATORS 101
11.2.1 DETAILS 101
11.3 REFERENCES 105
12 FUZZY MA
X ENTROP
Y PRINCIPL
E 107
12.1 INTRODUCTION 107
12.2 MAXIMUM ENTROPY PRINCIPLE 107
12.2.1 DISCRETE PROBABILITY DISTRIBUTIONS 107
12.2.2 CONTINUOUS PROBABILITY DISTRIBUTIONS 109
12.3 IMPRECISE SIDE-CONDITIONS IL
L
12.3.1 DISCRETE PROBABILITY DISTRIBUTIONS IL
L
12.3.2 CONTINUOUS PROBABILITY DISTRIBUTIONS 112
12.4 SUMMARY AND CONCLUSIONS 113
12.5 REFERENCES 114
13 MA
X ENTROPY: CRISP DISCRET
E SOLUTION
S 115
13.1 INTRODUCTION 115
13.2 MAX ENTROPY: DISCRETE DISTRIBUTIONS 115
13.3 MAX ENTROPY: IMPRECISE SIDE-CONDITIONS 116
13.4 SUMMARY AND CONCLUSIONS 123
13.5 REFERENCES 123
X
CONTENTS
14 MAX ENTROPY: CRISP CONTINUOU
S SOLUTION
S 125
14.1 INTRODUCTION 125
14.2 MAX ENTROPY: PROBABILITY DENSITIES 126
14.3 MAX ENTROPY: IMPRECISE SIDE-CONDITIONS . 127
14.4
E=[0,M]
127
14.5
E=[0,OO)
135
14.6
E
= (-OO
, OO) 139
14.7 SUMMARY AND CONCLUSIONS 140
14.8 REFERENCES 140
15 TEST
S O
N
FI,
VARIANCE KNOW
N 143
15.1 INTRODUCTION 143
15.2 NON-FUZZY CASE 143
15.3 FUZZY CASE 144
15.4 ONE-SIDED TESTS 148
15.5 REFERENCES 149
16 TESTS O
N
N,
VARIANCE UNKNOW
N 151
16.1 INTRODUCTION 151
16.2 CRISP CASE 151
16.3 FUZZY MODEL 152
16.3.1
T[A]
FOR NON-POSITIVE INTERVALS 153
16.4 REFERENCES 157
17 TEST
S O
N
P
FOR A BINOMIA
L POPULATIO
N 159
17.1 INTRODUCTION 159
17.2 NON-FUZZY TEST 159
17.3 FUZZY TEST 160
17.4 REFERENCES 162
18 TESTS O
N
A
2
,
NORMA
L POPULATIO
N 163
18.1 INTRODUCTION 163
18.2 CRISP HYPOTHESIS TEST 163
18.3 FUZZY HYPOTHESIS TEST 164
18.4 REFERENCES 166
19 FUZZY CORRELATION 167
19.1 INTRODUCTION 167
19.2 CRISP RESULTS 167
19.3 FUZZY THEORY 168
19.4 REFERENCES 170
CONTENTS
XI
20 ESTIMATIO
N IN SIMPLE LINEAR REGRESSIO
N 171
20.1 INTRODUCTION 171
20.2 FUZZY ESTIMATORS 172
20.3 REFERENCES 175
21 FUZZY PREDICTIO
N IN LINEAR REGRESSIO
N 177
21.1 PREDICTION 177
21.2 REFERENCES 179
22 HYPOTHESI
S TESTIN
G IN REGRESSIO
N 181
22.1 INTRODUCTION 181
22.2 TESTS ON A 181
22.3 TESTS ON 6 183
22.4 REFERENCES 185
23 ESTIMATIO
N IN MULTIPL
E REGRESSIO
N 187
23.1 INTRODUCTION 187
23.2 FUZZY ESTIMATORS 188
23.3 REFERENCES 192
24 FUZZY PREDICTIO
N IN REGRESSIO
N 193
24.1 PREDICTION 193
24.2 REFERENCES 195
25 HYPOTHESI
S TESTIN
G IN REGRESSIO
N 197
25.1 INTRODUCTION 197
25.2 TESTS ON 6 197
25.3 TESTS ON C 199
25.4 REFERENCES 201
26 FUZZY ONE-WAY ANOV
A 203
26.1 INTRODUCTION 203
26.2 CRISP HYPOTHESIS TEST 203
26.3 FUZZY HYPOTHESIS TEST 204
26.4 REFERENCES 207
27 FUZZY TWO-WAY ANOV
A 209
27.1 INTRODUCTION 209
27.2 CRISP HYPOTHESIS TESTS 209
27.3 FUZZY HYPOTHESIS TESTS 211
27.4 REFERENCES 217
XII
CONTENTS
28 FUZZY ESTIMATO
R FOR TH
E MEDIA
N 219
28.1 INTRODUCTION 219
28.2 CRISP ESTIMATOR FOR THE MEDIAN 219
28.3 FUZZY ESTIMATOR 220
28.4 REFERENCE 221
29 RANDO
M FUZZY NUMBER
S 223
29.1 INTRODUCTION 223
29.2 RANDOM FUZZY NUMBERS 224
29.3 TESTS FOR RANDOMNESS 225
29.3.1 RNGENERATOR 227
29.3.2 RNANALYSIS 228
29.4 MONTE CARLO STUDY 230
29.5 REFERENCES 233
30 SELECTE
D MAPLE/SOLVE
R COMMAND
S 235
30.1 INTRODUCTION 235
30.2 SOLVER 235
30.2.1 EXAMPLE 13.3.1 235
30.2.2 EXAMPLE 13.3.2 236
30.2.3 EXAMPLE 13.3.3 236
30.2.4 EXAMPLE 13.3.4 236
30.2.5 PROBLEMS 237
30.3 MAPLE 237
30.3.1 CHAPTER 3 237
30.3.2 CHAPTER 4 239
30.3.3 CHAPTER 5 240
30.3.4 CHAPTER 6 240
30.3.5 CHAPTER 7 241
30.3.6 CHAPTER 8 241
30.3.7 CHAPTER 9 241
30.3.8 CHAPTER 10 242
30.3.9 CHAPTERS 11-13 242
30.3.10 CHAPTER 14 243
30.3.11 CHAPTER 15 244
30.3.12 CHAPTER 16 245
30.3.13 CHAPTER 17 245
30.3.14 CHAPTER 18 246
30.3.15 CHAPTER 19 247
30.3.16 CHAPTER 20 247
30.3.17 CHAPTER 21 248
30.3.18 CHAPTER 22 248
30.3.19 CHAPTER 23 249
30.3.20 CHAPTER 24 249
30.3.21 CHAPTER 25 250
CONTENTS
XIII
30.3.22 CHAPTER 26 250
30.3.23 CHAPTER 27 250
30.3.24 CHAPTER 28 251
30.3.25 CHAPTER 29 251
30.4 REFERENCES 251
3
1 SUMMAR
Y AN
D FUTUR
E RESEARC
H 25
3
31.1 SUMMARY 253
31.2 FUTURE RESEARCH 254
31.2.1 FUZZY PROBABILITY 254
31.2.2 UNBIASED FUZZY ESTIMATORS 254
31.2.3 COMPARING FUZZY NUMBERS 255
31.2.4 NO DECISION CONCLUSION 255
31.2.5 FUZZY UNIFORM 255
31.2.6 INTERVAL ARITHMETIC 255
31.2.7 FUZZY PREDICTION 255
31.2.8 FUZZY ANOVA 256
31.2.9 NONPARAMETRIC STATISTICS 256
31.2.10 RANDOMNESS TESTS FUZZY NUMBERS 256
31.2.11 FUTUR
E 256
31.3 REFERENCES 256
INDEX 257
LIST OF FIGURES 265
LIST OF TABLES 269 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Buckley, James J. 1936- |
| author_GND | (DE-588)120637871 |
| author_facet | Buckley, James J. 1936- |
| author_role | aut |
| author_sort | Buckley, James J. 1936- |
| author_variant | j j b jj jjb |
| building | Verbundindex |
| bvnumber | BV021576036 |
| callnumber-first | Q - Science |
| callnumber-label | QA276 |
| callnumber-raw | QA276.5 |
| callnumber-search | QA276.5 |
| callnumber-sort | QA 3276.5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 800 |
| ctrlnum | (OCoLC)64572016 (DE-599)BVBBV021576036 |
| 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 |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02157nam a2200577 cb4500</leader><controlfield tag="001">BV021576036</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20060621 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">060510s2006 gw d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">05,N50,0014</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">06,A15,0902</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">977129950</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540308416</subfield><subfield code="c">Pp. : EUR 96.25 (freier Pr.), ca. sfr 152.50 (freier Pr.</subfield><subfield code="9">978-3-540-30841-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540308415</subfield><subfield code="c">Pp. : EUR 96.25 (freier Pr.), ca. sfr 152.50 (freier Pr.)</subfield><subfield code="9">3-540-30841-5</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783540308416</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">11598152</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)64572016</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021576036</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BW</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA276.5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.5</subfield><subfield code="2">22</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="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Buckley, James J.</subfield><subfield code="d">1936-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120637871</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fuzzy probability and statistics</subfield><subfield code="c">James J. Buckley</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 270 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">25 cm</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="1" ind2=" "><subfield code="a">Studies in fuzziness and soft computing</subfield><subfield code="v">196</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturangaben</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathématiques floues</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probabilités</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistique floue</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fuzzy mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fuzzy 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">Fuzzy-Statistik</subfield><subfield code="0">(DE-588)4779113-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fuzzy-Wahrscheinlichkeit</subfield><subfield code="0">(DE-588)4728168-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fuzzy-Statistik</subfield><subfield code="0">(DE-588)4779113-5</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">Fuzzy-Wahrscheinlichkeit</subfield><subfield code="0">(DE-588)4728168-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Studies in fuzziness and soft computing</subfield><subfield code="v">196</subfield><subfield code="w">(DE-604)BV021858135</subfield><subfield code="9">196</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=014791782&sequence=000001&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:BVB01-014791782</subfield></datafield></record></collection> |
| id | DE-604.BV021576036 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:40:06Z |
| indexdate | 2024-07-09T20:39:01Z |
| institution | BVB |
| isbn | 9783540308416 3540308415 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014791782 |
| oclc_num | 64572016 |
| open_access_boolean | |
| owner | DE-824 DE-703 DE-634 |
| owner_facet | DE-824 DE-703 DE-634 |
| physical | XIII, 270 S. graph. Darst. 25 cm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spelling | Buckley, James J. 1936- Verfasser (DE-588)120637871 aut Fuzzy probability and statistics James J. Buckley Berlin [u.a.] Springer 2006 XIII, 270 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing 196 Literaturangaben Mathématiques floues Probabilités Statistique floue Fuzzy mathematics Fuzzy statistics Probabilities Fuzzy-Statistik (DE-588)4779113-5 gnd rswk-swf Fuzzy-Wahrscheinlichkeit (DE-588)4728168-6 gnd rswk-swf Fuzzy-Statistik (DE-588)4779113-5 s DE-604 Fuzzy-Wahrscheinlichkeit (DE-588)4728168-6 s Studies in fuzziness and soft computing 196 (DE-604)BV021858135 196 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014791782&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Buckley, James J. 1936- Fuzzy probability and statistics Studies in fuzziness and soft computing Mathématiques floues Probabilités Statistique floue Fuzzy mathematics Fuzzy statistics Probabilities Fuzzy-Statistik (DE-588)4779113-5 gnd Fuzzy-Wahrscheinlichkeit (DE-588)4728168-6 gnd |
| subject_GND | (DE-588)4779113-5 (DE-588)4728168-6 |
| title | Fuzzy probability and statistics |
| title_auth | Fuzzy probability and statistics |
| title_exact_search | Fuzzy probability and statistics |
| title_exact_search_txtP | Fuzzy probability and statistics |
| title_full | Fuzzy probability and statistics James J. Buckley |
| title_fullStr | Fuzzy probability and statistics James J. Buckley |
| title_full_unstemmed | Fuzzy probability and statistics James J. Buckley |
| title_short | Fuzzy probability and statistics |
| title_sort | fuzzy probability and statistics |
| topic | Mathématiques floues Probabilités Statistique floue Fuzzy mathematics Fuzzy statistics Probabilities Fuzzy-Statistik (DE-588)4779113-5 gnd Fuzzy-Wahrscheinlichkeit (DE-588)4728168-6 gnd |
| topic_facet | Mathématiques floues Probabilités Statistique floue Fuzzy mathematics Fuzzy statistics Probabilities Fuzzy-Statistik Fuzzy-Wahrscheinlichkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014791782&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021858135 |
| work_keys_str_mv | AT buckleyjamesj fuzzyprobabilityandstatistics |