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Baglivo J.A. — Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods
Baglivo J.A. — Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods



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Название: Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods

Автор: Baglivo J.A.

Аннотация:

‘Jenny Baglivo's book and its Mathematica labs now make it easy to teach a modern course that better prepares students for contemporary statistical thinking and practice. That alone would be a major contribution to statistics education, but this book offers more: it is thoughtfully organized and unusually well-crafted. For example, theorems are given helpful descriptive names, and are often presented in ways that highlight parallel structure and make the big picture easier to see.’ George W. Cobb, Mount Holyoke College

‘I particularly value that the emphasis of the labs is on the statistical concepts and not on programming in Mathematica. The Mathematica tools and needed commands are carefully developed so that students with a minimal knowledge of the Mathematica environment can focus on the ideas while those who have more experience with Mathematica can utilize its power. This text is an important addition to materials for the post-calculus probability and statistics courses.’ Adele Marie Rothan, College of St. Catherine


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 260

Добавлена в каталог: 21.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
! (factorial function)      5
#(A) (number of occurrences of A)      2
$l(\theta)$ (log-likelihood of 6)      88
$Lik(\theta)$ (likelihood of 0)      87
$\chi (p)$ (1 - p quantile)      85
$\Gamma$ (gamma function)      33
$\hat{\theta}$ (estimator of $\theta$)      82
$\Lambda$ (likelihood ratio)      107 109
$\Omega$ (parameter set)      100
$\Phi$ (CDF of standard normal)      36
$\phi$ (PDF of standard normal)      36
${f}_{p}$ (quantile of f ratio)      71
${H}_{0}$ (null hypothesis)      98
${H}_{a}$ (alternative hypothesis)      98
${t}_{p}$ (quantile of Student t)      70
${z}_{p}$ (quantile of standard normal)      36
${\chi}_{p}^{2}$ (quantile of chi-square)      69
${\omega}_{0}$ (parameter subset)      100
$|A|$ (number of elements in A)      3
Acceptance region      98
Adhikari, A.      240
Agresti, A.      227 239 240
Allison, D.      166
Allison, T.      225
Alt, C      240
Alternative hypothesis      97
Analysis of variance, balanced two-way layout      196
Analysis of variance, blocked design      190
Analysis of variance, one-way layout      183
Analysis of variance, table      186 193 201
Anderson, J.W.      166
Anderson, S.      226
Andrews, D. R      126
Approximately accurate      175
Association, negative      52
Association, positive      52
Asymptotically unbiased estimator      82
Auquier, A.      226
Baglivo, J.      167 203 240
Bailer, A.J.      182
Baiter, M.B.      79 115
Bajorski, P.      167
Baker, S.G.      13
Balanced two-way layout      196
Baraicot, N.A.      115 145
Barlow, R.E.      126
Bayes rule      11
Before-and-after experiment      152
Bell-shaped curve      36
Belsley, D.A.      205 223
Bennett, A. F      145
Berger, P.      79
Bernoulli distribution      18
Bernoulli distribution, likelihood      88
Bernoulli distribution, likelihood ratio      108
Bernoulli experiments      18
Best linear unbiased estimator      207
Bias      82
Biased estimator      82
Bickel, P.J.      240
Binomial coefficients      7
Binomial coefficients, generating function      9
Binomial distribution      18
Binomial distribution, moment generating function      63
Binomial distribution, Poisson approximation      21
Binomial distribution, probability generating function      26
Birnbaum, Z.W.      79
Birthday problem      5
Bivariate distribution, continuous      38
Bivariate distribution, discrete      22
Bivariate hypergeometric distribution      24
Bivariate normal distribution      41
Bivariate uniform distribution      41
Bjerkdal, T.      124
Blocked design      190
Bonferroni analysis      186 194
Bootstrap, nonparametric      169
Bootstrap, parametric      170
Bosch, R.J.      217
Box plot      124
Box, G.E.P.      183 191 203
Brothwell, D.R.      115 145
Brousseau, D.      167 203 240
Brown, P.J.      240
Bryant, C.A.      166
Burgess, E.W.      58
Campbell, J.A.      203
Capture-recapture      13
Carver, W.A.      79 115
cases      214
Category multinomial experiment      75
Cauchy distribution      35
Cauchy distribution, approximate CI for median      121
Center of a distribution      31 48
Center parameter Cauchy distribution      35
Central limit theorem      61
Chambers, J.A.      145
Chambers, J.M.      115 125 181 225
Chebyshev inequality      49
Chi-square distribution      69
Chi-square distribution, one degree of freedom      38
Chi-square test      104
Chu, S.      226
Cicchetti, D.V.      225
Clark, L.      113 167
Clarke, R.D.      58
Cleveland, W.S.      115 125 145 181 225
Coefficient of determination      220
Coefficient of determination, adjusted      226
Cole, J.S.      95 143 161 181
Combination      6
Complement      4
Complement rule for probability      4
Compound hypothesis      97
Conditional distribution, continuous      40
Conditional distribution, discrete      23
Conditional expectation      55
Conditional expectation, linear      56
Conditional mean      55
Conditional mean, linear      56
Conditional method      148 171
Conditional probability      9
Conditional sample space      10
Confidence coefficient      84
Confidence interval      84
Confidence interval, ${BC}_{a}$ bootstrap      175
Confidence interval, approximate for $\lambda$      91
Confidence interval, approximate for $\mu$      86
Confidence interval, approximate for $\theta$      90
Confidence interval, approximate for ${\mu}_{x} - {\mu}_{y}$      130 134
Confidence interval, approximate for median      121
Confidence interval, approximate for p      91
Confidence interval, for $\alpha$ (intercept)      209
Confidence interval, for $\beta$ (slope)      208 209
Confidence interval, for $\Delta$ (shift)      141 156
Confidence interval, for $\mu$      84
Confidence interval, for $\sigma$      85
Confidence interval, for ${\beta}_{i}$      220
Confidence interval, for ${\mu}_{x} - {\mu}_{y}$      128 129
Confidence interval, for ${\sigma}^{2}$      85
Confidence interval, for ${\sigma}^{2}_{x}/{\sigma}^{2}_{y}$      132
Confidence interval, for mean response      210 221
Confidence interval, for odds ratio      237 239
Confidence interval, for quantile      122
Confidence interval, simple bootstrap      173
Consistent estimator      83
Contingency table test, Fisher exact      238
Contingency table test, Kruskal — Wallis      232
Contingency table test, Pearson chi-square      227 230
Contingency table test, permutation      233
Contingency table test, rank correlation      229
Continuity correction      62
Continuous random variable      15 29
Continuous uniform distribution      31
Converges absolutely, continuous case      47
Converges absolutely, discrete case      45
Convolution theorem, for generating functions      9
Convolution theorem, for moment generating functions      64
Convolution theorem, for probability generating functions      27
Cook, R.D.      58 181 205 226
correlated      53
Correlation      51
Correlation coefficient      51
Correlation test      159
Cottrell, L.S.      58
Counting methods      5
Covariance      51
Covariance analysis      226
Covariance matrix      217
Cramer — Rao lower bound      89
Crawford, J.A.      145
Cressie, N. A. C      181
Cross-product ratio      237
Cumulative distribution function      16 22 29 38 43
Cumulative distribution function, empirical      151
Daly, R      79 95 115 143 161 181 182 198 203 206 218 226 239
Data and Story Library      153 203 225
Davison, A. C      169 180 181
Deciles      31
Degrees of freedom, chi-square      69
Degrees of freedom, f ratio      71
Degrees of freedom, Student t      70
Delta method      181
Denby.L.      181 225
Density function      30 38 43
Dependent, events      12
Dependent, random variables      24 40
Derman, C      28 44 58 78 94
Design matrix      215
Diaconis, P.      79
Differential effect      184
Discrete random variable      15
Discrete uniform distribution      17
Disjoint events      2
Distribution, Bernoulli      18
Distribution, binomial      18
Distribution, bivariate      22 38
Distribution, bivariate hypergeometric      24
Distribution, bivariate normal      41
Distribution, bivariate uniform      41
Distribution, Cauchy      35
Distribution, chi-square      69
Distribution, conditional      23 40
Distribution, continuous uniform      31
Distribution, discrete uniform      17
Distribution, exponential      32
Distribution, f ratio      71
Distribution, gamma      33
Distribution, Gaussian      35
Distribution, geometric      19
Distribution, hypergeometric      17
Distribution, joint      22 38
Distribution, Laplace      36
Distribution, location-scale      38
Distribution, marginal      22 38
Distribution, multinomial      75
Distribution, multivariate      26 43
Distribution, negative binomial      19
Distribution, normal      35
Distribution, Pareto      181
Distribution, Poisson      21
Distribution, probability      2
Distribution, standard bivariate normal      41
Distribution, standard normal      36
Distribution, Student t      70
Distribution, trinomial      25
Distribution, univariate      17 31
Distribution-free method      135
Doll, R.      240
Drut, M.A.      145
E (expectation)      45 46 50
Ebel, J.      181
Eden, J. C      145
Efficient estimator      90
Efron, B.      125 169 175 179 226
Empirical CDF      151
Empirical histogram      27
Equally likely outcomes      3
Equally likely outcomes, conditional probability      10
Equivalent tests      99
Erickson, W.P.      240
Error distribution      173
Error probability      84
Error type I, II      100
Estimate      81
Estimator      81
Estimator, asymptotically unbiased      82
Estimator, best linear unbiased      207
Estimator, biased      82
Estimator, consistent      83
Estimator, efficient      90
Estimator, HL      141 156
Estimator, interval      84
Estimator, LS      206 215
Estimator, minimum chi-square      77
Estimator, ML      88
Estimator, MOM      86
Estimator, more efficient      82
Estimator, MVUE      83
Estimator, point      81
Estimator, unbiased      82
Euler gamma function      33
Event      1
Event, complement      4
Event, disjoint      2
Event, pairwise disjoint      2
Event, simple      1
Expectation, continuous case      46 50
Expectation, discrete case      45 50
Expected number in repeated trials      2 18
Expected value, continuous case      46 50
Expected value, discrete case      45 50
Experiment      1
Experiment, repeated trials      13
Exponential distribution      32
f ratio distribution      71
F test      132
F(p)(l-p quantile)      132
Factorial function      5
Failure in Bernoulli trial      18
Fienberg, S.E.      145 227 234 237 240
Filipowicz, A.      167 240
Fine, J.B.      217
Fisher exact test      238
Fisher symmetry test      157
Fisher, R.A.      158
Ford, S.      203
Freedman, D.      240
Freeman, T.      126
Frequency function      16 22 26
Frequency generating function      9
Friedman test      194
Gamma distribution      33
Gamma distribution, likelihood      93
Gamma function      33
Garthwaite, R H.      145
Gastwirth, J.      14
Gauss — Markov theorem      207
Gaussian distribution      35
Gauvreau, K.      166
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