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Bowman K.O., Shenton L.R. — Continued Fractions in Statistical Applications
Bowman K.O., Shenton L.R. — Continued Fractions in Statistical Applications



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Название: Continued Fractions in Statistical Applications

Авторы: Bowman K.O., Shenton L.R.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 352

Добавлена в каталог: 13.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\pi$      2 3 31 100
Accuracy, loss of      140 142 143 256 264
Additivity      163
Aitken      28 164 298 303
Anomolous      74 96 137 218
Approximant      8
Approximations      10 306
Argument      9
Astronomy      12
Asymptotic series      35 44 94
Asymptotic variance      7
Bernoulli number      44 106 142 149 182
Bessel function      48
binomial      4 29 48 56 274 278
Bivariate      9
Borel modified      264 275
Borel — Pade algorithm      246
Borel — Pade algorithm, 2cB      114—117 259—262 265 269 277 284 286—288
Borel — Pade algorithm, 3cB      264 281
Borel — Pade algorithm, lcB      254 257 275
Boundary condition      258
Bounding sequence      104
Carleman      41 44 47 48 136
Central diagonals      6
chebyshev      16
Coefficient of variation      305
COETS      95 121 142 143 295 304
Complementary      8
Complex coefficient      28
Confidence region      287
Confluent      166 186 195 218 225
Confluent hypergeometric      11
Conjectured bound      105
Conjectures      98 104 117
Consistency      15
Contiguous      171
Continuant      6 177 307 308
Continued fraction, 2nd order      161—193
Continued fraction, 2nd order, as continuant ratio      174
Continued fraction, 2nd order, complex error function      208
Continued fraction, 2nd order, convergence      170
Continued fraction, 2nd order, general theorem      178 189
Continued fraction, 2nd order, recurrences      176—179
Continued fraction, change of origin      63
Continued fraction, equivalence transformation      22
Continued fraction, even and odd parts      21 22
Continued fraction, even and odd parts, $e^{\ln^{2}(l+z)}$      158
Continued fraction, even and odd parts, $\arctan z$      54
Continued fraction, even and odd parts, $\frac{x\ln(1+x)}{x+2}$      156
Continued fraction, even and odd parts, $\frac{\ln(1+x)}{1+x}$      156
Continued fraction, even and odd parts, $\ln(l + \frac{l}{z})$      210
Continued fraction, even and odd parts, $\ln(\frac{e^{x}-1}{x})$      155
Continued fraction, even and odd parts, $\ln(\prod_{j=1}^{n}(1+jx))$      155
Continued fraction, even and odd parts, $\ln\frac{24+18x+x^{2}}{24+6x}$      160
Continued fraction, even and odd parts, $\ln^{2}(l+z)$      146
Continued fraction, extending series      75
Continued fraction, form for numerator, 1st order      32
Continued fraction, form for numerator, 2nd order      184
Continued fraction, form for numeratornth order      197—199
Continued fraction, Gauss      26 183 241 242
Continued fraction, infinite      166
Continued fraction, linear transformation      68
Continued fraction, logarithmic integral      45
Continued fraction, Mills'ratio      34 37 49 51 55 56 73 135 166 183
Continued fraction, partial fractions      192 193
Continued fraction, periodic      77 94
Continued fraction, Perron      61 243
Continued fraction, polygamma function      29 212
Continued fraction, special cases of 2nd order      188
Continued fraction, special cases of 3rd order      189
Continued fraction, Stieltjes transform, binomial      29
Continued fraction, Stieltjes transform, gamma density      20 25 38
Continued fraction, Stieltjes transform, hypergeometiric      26 30 241
Continued fraction, Stieltjes transform, negative binomial      48
Continued fraction, Stieltjes transform, psi function      28
Continued fraction, Stieltjes, J.S.      21 161 201
Continued fraction, weight function      77
Convergence region      4
Convergent sequence      133
Convergent Series      60 151 164
Convoluted      119
Correlation      289
Cray      1
Cubic denominantor      206
Decreasing bound      181
Decreasing sequence      104 202 209 212 226 228 231
density      9 40 106 119 121
Derivative      79 84 86 111 138 141 186 295
Derivatives of continued fraction      164 299—302
Descending power      84 149 305
Determinantal function      47
Difference interpolation      88
Differentiability      163
Differential equation      23 35 78 166 258
Divergent series      8 9 10 11 60 95 151 164 218 245
Double factorial      58 95 97 122 246 280
Double integral      111
Efficient estimator      6
Eigenvalue      95
Equivalence transformation      22 35
Equivalent      102
Error function      3 35 208 210
Euler      4 12
Even and odd parts      22 101 188
Even convergent      28
Even part      21 78 80 82 98 147
Expectation      9 99
Explicit      127
Exponential density      112 113 128 142 286 288
Exponential integral      20 140 252 255 256
Exponential population      99
Exponential sampling      95 111 114 116 117 128 141 252 253 262 280
Extended series      75 304
Extrapolate      150
Factorial series      3 4 67 246
Finite difference calculus      5
Finite sum      33
Fluid mechanics      94
FORMAC      150
Fourier coefficient      171
Fourier series      2
Fractional part      83
Fresnel integral      213
Gamma      9 41 95 121 132 141 285 293
Gauss      132 133 227 241 242 305
Gauss continued fraction      26 183 241 242
Gauss form      3
Gaussian density      143
Gaussian type      2
Generating function      39 285
Gram — Charlier      7 26 30 304
Gram — Schmidt      17
Half-Gaussian      143 144
Hamburger      39 41 180 183
hankel      285
hermite      36 84 102
Higher moment      95 106 116 119 292 294
Hyperbolic integral      28
hypergeometric      179
Hypergeometric function      3 26 28 30 35 241
Identities, determinantal      214—217
Identities, extentional      218 223
Imaginary part      210 229 233 235 236
IMPLICIT      11 127 305
Increasing sequence      22 175 190 203 209 212 224 226 228 231 244
Incremental operator      5
Inequality      105 106 147 148 307
Infinite series      95
Inner-product      162 174
integer arithmetic      146
Integral transform      26 246
Invariant      277
Inverse      18 162 164 246
inversion      127
jacobi      55
Johnson’s $S_{U}$      127
Joint distribution      42
kurtosis      7 10 77 111 127 129 130 304
Lagrange      56
Laguerre      15 25 38 41 50
Laplace      219 222
Laplacian expansion      221 224
Least square      23 28
Levin algorithms      108 127 245—246 285
Levin approximant      280 287
Linear algebra      164
Linear transformation      68
Logarithmic density      107
Logarithmic integral      45
Logistic sampling      106
Lower bound      56 148
Macsyma      140
Magnitude      3 35 75 98 106 134
Main diagonal      16
Matrix      18 86 162 163 164 165 199 255 274 277 278 279 282
Matrix product      165 168 169
Maximum likelihood      6 7 42 46 289
Mean square deviation      171
Mills’ ratio      34 37 49 51 55 56 166 183
Mimicry      151 153
Minimal equation      15
Modification      111 159 218 242
Modified transform      77
Moduli      108 122 127
Moment estimator      127 305
Moment generating function      39
Moment problem      31 39 60 161 172
Moment series, $E(t^{*})$, convoluted exponential      119
Moment series, $E(t^{*})$, exponential      111—119 252 253 307
Moment series, $E(w')$, and higher moment normal      149
Moment series, $E(\sqrt{m_{2}})$, exponential      95 252 253 288 306
Moment series, $E(\sqrt{m_{2}})$, general      9 96
Moment series, $E(\sqrt{m_{2}})$, half gaussian      143
Moment series, $E(\sqrt{m_{2}})$, logistic      106
Moment series, $E(\sqrt{m_{2}})$, normal      98 293
Moment series, $E(\sqrt{m_{2}})$, uniform      108
Moment series, $E({b_{1})$, and higher moment gamma      121
Monotone      246
Monotonic      18 22 102 138 230 234 257
Monotonicity      11 97 255
Negative binomial      46 48
Normal distribution      51
Normal integral      135 284
Normal mixture      304
Normal sampling      52 98
Normality      120
Odd convergent      28 41 203
Odd function      102
Odd part      28 66 78 80 82 90 98 131 145 203 238
Operator      89 131 273
Orthogonal polynomial      2 17 13 26 31 40 44 55 69 78 80 97 173 197 305
Orthogonal set      2 3 8 15 20 25 26 28 29 31 69 79 171
Orthogonal system      16 18 24 41 78 80 162 172 195
Oscillation      62
Oscillatory      74 246 285
Overflow      214
Pade algorithm      11
Pade approximant      17 26 52 165 186 187 192 193
Parseval      2 171 172 174 181 195 203 307
Partial denominator      22 33 41 56 170 217
Partial fractions      192 193
Partial numerator      22 55 56 58 60 78 80 83 93 101 104 105 116 124—127 133 147 149 160 170 201 232 263
Partial sums      5 10 62 151 195
Pattern recognition      84
Pearson      151 304
Period      119 122
Periodic      61 77 78 86 89 94
periodicity      104 106 108 293
Perron      32 38 58 78 106 170 182 243 306 307
poisson      31 66 141
Polygamma function      43 44 139 228 234
Polynomials (orthogonal)      197 305
Power series      8 95 99
Principal minor      165 167 174
Psi function      28 42 141
Quadratic denominator      204
Quadrature      9 59 95 137 140 144 151 255 258 264 268 291 295 305
Random      9 42 95
RANGE      10 127 151
Rational forms      198
Rational fraction      12 15 20 60 78 122 127 128 162
Real axis      136 170
Real part      233 236 238
Reciprocal function      103
Reciprocal relations      102
Reciprocal series      50
Reciprocity      103
Reduce      78
Remainder      1 33 38 185
Reversibility      8
Saddle point      38 256 263
Sampling      9
Second order      8 9 24
Series expansion      17 21 35 52
Series sum      10
Shanks      151 152 153 245 262 287
Shape parameter      10 127 305
Sign pattern      62 94 95 103 106 115 119 122 137 147 246 293
Simpson      2 258
Simulation      98 106 114 117 128 252 262 305
Simultaneous estimator      7
Sine and cosine integrals      211
Single factorial      60 256
Singularity      111 115 118 151
skewness      7 10 51 77 111 121 122 127 304
Standard deviation      9 10 95 100 106 111 252 262 280 306
Statistical estimator      6
Step function      31
Sterling’s formula      44 66
Stieltjes, integral      8 12 22 26 41 48 220
Stieltjes, moment problem      12 23 39 62 172 189 194 195 202 218 234
Stieltjes, summability      41
Stieltjes, transform      3 7 31 43 65 66 94 147 219
Stieltjes, transform product      219 221
STUDENT      111 252 306
Sub diagonal      16 192
Summation      10 101 103 122 127 130 151 245
Super diagonal      16 192
symmetric      106 163 165
Symmetric determinant      6 8 166 174 177
System of equation      173
Taylor      9 60 295
Transformation      245
Transient      10
Trapezoidal      2 56
Triangular matrix      279 282
Trigonomitric      49
Triple factorial      128 246
Truncation      50 128 217 218 242
Unbiased      9 305
Underflow      214
uniform      65 108 131 132 133
Upper bound      26 56 148 182
Ursell      8 192 308
Variable      8
Variance      51 60 77 106 107 115 124 125 127 142 305
Weibull distribution      304 305
Weight function      3 15 16 23 29 40 41 55 77 79 94 191
Whittaker      163 298—302
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