Data distributions: a statistical handbook
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Lincoln, Mass.
Entropy
1984
|
| Schriftenreihe: | Entropy minimax sourcebook
8 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 299 S. graph. Darst. |
| ISBN: | 0938876171 |
Internformat
MARC
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| 100 | 1 | |a Christensen, Ronald |d 1951- |e Verfasser |0 (DE-588)111351820 |4 aut | |
| 245 | 1 | 0 | |a Data distributions |b a statistical handbook |c Ronald Christensen |
| 264 | 1 | |a Lincoln, Mass. |b Entropy |c 1984 | |
| 300 | |a IX, 299 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Entropy minimax sourcebook |v 8 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-004175765 | ||
Datensatz im Suchindex
| _version_ | 1804120819269369856 |
|---|---|
| adam_text | TABLE OF CONTENTS
1. Introducti on 1
2. Properties of Distributions and Samples
A. Central Tendency
1. Median (xq Quantile with q=0.5) 5
2. Mean (Arithmetic) 7
3. Mode (Most Probable Value) 11
4. Harmonic Mean 13
5. Geometric Mean 14
6. Exponential Mean 16
7. Extrema 17
8. Examples 20
9. Discussion 25
B. Dispersion
1. Standard Deviation 29
2. Mean Deviation (Absolute) 31
3. Median Deviation (Absolute) 33
4. Range 34
5. Half Width 35
6. Geometric Deviation 36
7. Standard Width 37
8. Examples 41
9. Discussion 47
C. Asymmetry
1. Skewness 49
2. Obliqueness 51
3. Mean Asymmetry 52
4. Examples 53
5. Discussion 56
D. Peakedness
1. Kurtosis 58
2. Compactness 61
3. Unimodality (Single Peakedness) 63
4. Examples 64
5. Discussion 66
E. Higher Order Irregularities
1. Continuity and Discreteness Indices 67
2. Warp 68
3. Examples 69
4. Discussion : 70
vii
F. Systems of Distributional Properties
1. Four Systems 71
2. Exampl es Logari thmi c System 75
3. Examples Linear System 76
4. Discussion 77
3. Parameter Estimation
A. Maximum Likelihood Method 81
B. Method of Moments 85
C. Least Squares Method 89
D. Minimum K S Error Method 92
E. Minimum Log Ratio Error Method 94
F. Pearson s T Minimization Method 97
G. Least Absolute Error Method 99
H. Least Squared Deviation Method 100
I. Minimum Entropy Method 101
4. Probability Density Functions and Distribution Properties
A. Continuous Distributions 107
Uniform 108
Rectangul ar 109
Triangular 110
Unit Triangular Ill
Ascending Wedge 112
Descending Wedge 113
Isosceles Triangular 114
Lomax (Pareto if a=0) 115
Cauchy 116
Half Cauchy 117
Truncated Cauchy 118
Daniels 119
Power Function 120
Reverse Power Function 123
Horseshoe 125
Symmetric Quad 126
Symmetric Quart 127
Symmetric Sextic 128
Beta 129
Inverted Beta 1 133
Inverted Beta 2 134
Arc Sine 135
Student 136
Non Central Student 137
F (Snedecor) 139
Z (Fisher) 140
Champernowne 141
Exponential 144
Mixed Exponential 145
Laplace 146
vi ii
Chi Squared 147
Gamma 149
Non Central Chi Squared 151
Truncated Gamma 153
Generalized Gamma 155
Inverted Gamma (Pearson s Type V) 156
Compound Laplace Gamma 157
Normal 158
Half Normal 159
Rayl eigh 160
Maxwel1 Boltzmann 161
PIanck 163
Velocity 165
Chi 167
Bilateral Chi 168
Inverted Chi 169
Log Normal 171
Subbotin 173
Weibul 1 175
Linear Failure Rate 176
Random Wai k 177
Inverted Gaussian (Wald if b = /a) 179
Birnbaum Saunders 181
Asymptotic Range 182
Extreme Value 183
Compound Extreme Value 185
Gumbel 186
Generalized Gumbel 187
Gompertz 189
Disk 192
Raised Cosine 193
Hyperbol ic Secant 194
Half Hyperbolic Secant 195
Logistic 196
Half Logistic 197
Ringing Exponential (0° Phase) 198
Ringing Exponential (180° Phase) 199
Ringing Laplace (0° Phase) 200
Ringing Laplace (180° Phase) 201
Ringing Normal (0° Phase) 202
Ringing Normal (180° Phase) 203
Normal Correlation Coefficient 205
Limiting Kolmogorov Smirnov 206
B. Discrete Distributions 207
Discrete Rectangular 208
Zeta (Zipf Estoup) 209
Harmonic 210
Yule 211
Irwin Waring 212
Logarithmic Series 213
Poisson 214
Nonzero Poisson 215
ix
Binomial 216
Nonzero Binomial 217
Bernoul 1 i 218
Geometric 219
Hypergeometric 220
Ising Stevens 221
Polya Eggenberger 223
Negative Binomial (Pascal) 224
Negative Hypergeometric (Beta Binomial) 225
Turning Point 226
Compound Poisson Rectangular 227
Compound Poisson Binomial 229
Compound Poisson (Neyman s Type A) 231
Thomas 233
Polya Aeppli 235
5. Cumulative Functions and Critical Values
A. Continuous Distributions 241
B. Discrete Distributions 261
C. Inverse Functions 263
D. Shape Parameters and Shape Functions 268
APPENDICES
A. Functions 275
B. Constants 278
C. Symbols 279
D. Terminology Cross References 283
Index of Names 285
Index of Subjects 287
|
| any_adam_object | 1 |
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| callnumber-first | Q - Science |
| callnumber-label | Q370 |
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| ctrlnum | (OCoLC)12989330 (DE-599)BVBBV006550075 |
| dewey-full | 519.2 003 |
| dewey-hundreds | 500 - Natural sciences and mathematics 000 - Computer science, information, general works |
| dewey-ones | 519 - Probabilities and applied mathematics 003 - Systems |
| dewey-raw | 519.2 003 |
| dewey-search | 519.2 003 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics 000 - Computer science, information, general works |
| discipline | Informatik Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV006550075 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:48:08Z |
| institution | BVB |
| isbn | 0938876171 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004175765 |
| oclc_num | 12989330 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| physical | IX, 299 S. graph. Darst. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Entropy |
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| series | Entropy minimax sourcebook |
| series2 | Entropy minimax sourcebook |
| spelling | Christensen, Ronald 1951- Verfasser (DE-588)111351820 aut Data distributions a statistical handbook Ronald Christensen Lincoln, Mass. Entropy 1984 IX, 299 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Entropy minimax sourcebook 8 Distribution (Probability theory) Handbooks, manuals, etc Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s DE-604 Entropy minimax sourcebook 8 (DE-604)BV002406540 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004175765&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Christensen, Ronald 1951- Data distributions a statistical handbook Entropy minimax sourcebook Distribution (Probability theory) Handbooks, manuals, etc Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| subject_GND | (DE-588)4121894-2 |
| title | Data distributions a statistical handbook |
| title_auth | Data distributions a statistical handbook |
| title_exact_search | Data distributions a statistical handbook |
| title_full | Data distributions a statistical handbook Ronald Christensen |
| title_fullStr | Data distributions a statistical handbook Ronald Christensen |
| title_full_unstemmed | Data distributions a statistical handbook Ronald Christensen |
| title_short | Data distributions |
| title_sort | data distributions a statistical handbook |
| title_sub | a statistical handbook |
| topic | Distribution (Probability theory) Handbooks, manuals, etc Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| topic_facet | Distribution (Probability theory) Handbooks, manuals, etc Wahrscheinlichkeitsverteilung |
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