Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Khuri A.I. — Advanced calculus with applications in statistics
Khuri A.I. — Advanced calculus with applications in statistics



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Advanced calculus with applications in statistics

Автор: Khuri A.I.

Аннотация:

A graduate textbook for a two-semester course in advanced calculus and mathematical analysis. Khuri (statistics, University of Florida) reviews the concepts of set theory, limits, functions, differentiation, and infinite series, and presents some applications in statistics. The second edition adds three chapters on orthogonal polynomials, Fourier series, and approximation of integrals.


Язык: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 2002

Количество страниц: 700

Добавлена в каталог: 29.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Quadratic form      39
Quadratic form, extrema of      48
Quadratic form, nonnegative definite      40
Quadratic form, positive definite      40
Quadratic form, positive semidefinite      40
Quadrature      524
Quadrature, Gauss — Chebyshev      526
Quadrature, Gauss — Hermite      528 542
Quadrature, Gauss — Jacobi      526
Quadrature, Gauss — Laguerre      528
Quadrature, Gauss — Legendre      526
Raabe’s test      155
Radius of convergence      174
Random effects      44
Random variable      13
Random variable, absolutely continuous      116 239
Random variable, Bernoulli      194
Random variable, binomial      14 203
Random variable, chi-squared      246
Random variable, continuous      14 82 116 239
Random variable, discrete      14 182
Random variable, function of      116
Random variable, normal      245
Random variable, Poisson      14 124 183
Random vector      304
Random vector, transformations of      305
Range of a function      5
Rank of a matrix      33
Ratio Test      148
Rational number      8
Rayleigh’s quotient      41
Rayleigh’s quotient, infimum of      41
Rayleigh’s quotient, supremum of      41
Rearrangement of series      159
refinement      206 214 294
Region of convergence      174
Relation      4
Relation, congruence      5
Relation, equivalence      4
Relation, reflexive      4
Relation, symmetric      4
Relation, transitive      4
Remainder      110 257 279
Response surface design      339 355 359
response surface methodology      339 355 367 504
Response variable      121
Response, constrained      352
Response, maximum      340
Response, minimum      340
Response, optimum      350
Response, predicted      341 344 355 504
Response, primary      352
Response, surface      340
Restricted least squares      429
Ridge analysis      343 349 352
Ridge analysis, modified      350 354
Ridge analysis, standard      354
Ridge estimator      56 196
Ridge plots      346
Ridge regression      195
Riemann integral      206 293
Riemann integral, double      295
Riemann integral, iterated      295
Riemann integral, n-tuple      295
Riemann — Stieltjes integral      234
Risk function      86
Rodrigues formula      440 443 447 451
Rolle’s Theorem      99 110
Root test      149
Rotatability      347
Saddle point      114 284 344 349
Saddlepoint approximation      549
Sample      14
Sample space      13
Sample variance      14
Satterthwaite’s approximation      324
scalar      21
Scalar, product      23
Scheffe’s confidence intervals      382 384
Schur’s Theorem      42
SEQUENCE      132 262
Sequence, bounded      132 262
Sequence, Cauchy      138 222
Sequence, convergent      133 262
Sequence, divergent      133
Sequence, limit infimum of      136 148 151
Sequence, limit of      133
Sequence, limit supremum of      136 148 151
Sequence, monotone      133
Sequence, of functions      165 227
Sequence, of matrices      178
Sequence, of orthogonal polynomials      437
Sequence, subsequential limit of      136
Sequence, uniformly convergent      166 169 228
Series      140
Series, absolutely convergent      143 158 174
Series, alternating      158
Series, conditionally convergent      158
Series, convergent      141
Series, divergent      141
Series, Fourier      471
Series, geometric      142
Series, Gram — Charlier      457
Series, harmonic      145
Series, hypergeometric      157
Series, Maclaurin’s      111
Series, multiplication of      162
Series, of functions      165
Series, of matrices      178 180
Series, of positive terms      144
Series, power      174
Series, rearrangement of      159
Series, sum of      140
Series, Taylor’s      111 121
Series, trigonometric      471
Series, uniformly convergent      166 169
Set(s)      1
Set(s), bounded      9 72 262
Set(s), closed      11 72 262
Set(s), compact      13
Set(s), complement of      2
Set(s), connected      12
Set(s), convex      79
Set(s), countable      6
Set(s), covering of      12
Set(s), disconnected      12
Set(s), empty      1
Set(s), finite      6
Set(s), image of      5
Set(s), open      10 262
Set(s), partition of      5
Set(s), subcovering of      13
Set(s), uncountable      7
Set(s), universal      2
Sherman — Morrison formula      54
Sherman — Morrison — Woodbury formula      54 389
Simplex method      332
Simpson’s method      521
Simulated annealing      338
Simultaneous diagonalization      40
Singular values of a matrix      46
Singular-value decomposition      39 45
Singularity of a function      225
Size of test      15
Spectral decomposition theorem      38 181 351
spherical polar coordinates      322
Spline functions      418 428
Spline functions, approximation      418 421
Spline functions, cubic      419 428
Spline functions, designs for      430
Spline functions, error of approximation by      421
Spline functions, linear      418
Spline functions, properties of      418
Squared error loss      86
Stationary point      284 345
Stationary value      113
Statistic      14
Statistic, first-order      20
Statistic, Hotelling’s $T^2$      49
Statistic, nth-order      20
Steepest ascent, method of      330 340
Steepest ascent, path of      396
Steepest descent, method of      329
Steepest descent, path of      343
Step function      237
Stieltjes moment problem      185
Stirling’s formula      532
Stratified sampling      313
Stratum      313
SubMatrix      29
Submatrix, leading principal      29
Submatrix, principal      29
Subsequence      135 262
Subsequential limit      136
Subset      1
Supremum      9 73
Symmetric difference      17
t distribution      259
Taylor’s Formula      110
Taylor’s series      111 121
Taylor’s series, remainder of      110 257 279
Taylor’s Theorem      108 114 277
Time series      500
Topological space      10
topology      10
Topology, basis for      10
Total derivative      270
Transformation, Box and Cox      120
Transformation, of continuous random variables      246
Transformation, of random vectors      305
Transformation, variance stabilizing      118
Translation invariance      379
Trapezoidal method      517
Triangle inequality      25
Trigonometric polynomial(s)      495 500 504
Trigonometric series      471
Two-way crossed classification model      43 401
Uncountable set      7
Uniform convergence of sequences      166 169 228
Uniform convergence of series      167 169
Uniform distribution      83 92 116 250
Uniformly continuous function      68 74 82 265 407
union      2
Universal set      2
Upper limit      136
Upper semicontinuous function      90
Upper sum      206 294
Variance      117 239
Variance components      44 378
Variance criterion      359 366
Variance stabilizing transformation      118
Vector      21
Vector space      21
Vector space, basis for      23
Vector space, dimension of      23
Vector subspace      22
Vector, column      28
Vector, row      28
Vector, zero      21
Vronovsky’s theorem      410
Weierstrass approximation theorem      403
Weierstrass’s M-test      167 172
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2020
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте