1988, ISBN: 038796682X
[EAN: 9780387966823], Neubuch, [PU: Springer New York Aug 1988], STATISTIK; CHI-SQUAREDDISTRIBUTION; ESTIMATOR; LIKELIHOOD; VARIANCE; BESTFIT; INFORMATIONTHEORY; MULTINOMIALDISTRIBUTION, … Altro …
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1988, ISBN: 038796682X
[EAN: 9780387966823], Neubuch, [SC: 0.0], [PU: Springer New York], STATISTIK; CHI-SQUAREDDISTRIBUTION; ESTIMATOR; LIKELIHOOD; VARIANCE; BESTFIT; INFORMATIONTHEORY; MULTINOMIALDISTRIBUTION… Altro …
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Goodness-of-Fit Statistics for Discrete Multivariate Data by Timothy R. C., Cressie, Noel A. C. Read - libri usati
1987, ISBN: 9780387966823
The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop ment ofappropriate models… Altro …
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ISBN: 9780387966823
The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop ment ofappropriate model… Altro …
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1988, ISBN: 9780387966823
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1988, ISBN: 038796682X
[EAN: 9780387966823], Neubuch, [PU: Springer New York Aug 1988], STATISTIK; CHI-SQUAREDDISTRIBUTION; ESTIMATOR; LIKELIHOOD; VARIANCE; BESTFIT; INFORMATIONTHEORY; MULTINOMIALDISTRIBUTION, … Altro …
Noel A. C. Cressie:
Goodness-of-Fit Statistics for Discrete Multivariate Data - copertina rigida, flessible1988, ISBN: 038796682X
[EAN: 9780387966823], Neubuch, [SC: 0.0], [PU: Springer New York], STATISTIK; CHI-SQUAREDDISTRIBUTION; ESTIMATOR; LIKELIHOOD; VARIANCE; BESTFIT; INFORMATIONTHEORY; MULTINOMIALDISTRIBUTION… Altro …
Goodness-of-Fit Statistics for Discrete Multivariate Data by Timothy R. C., Cressie, Noel A. C. Read - libri usati
1987
ISBN: 9780387966823
The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop ment ofappropriate models… Altro …
ISBN: 9780387966823
The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop ment ofappropriate model… Altro …
1988, ISBN: 9780387966823
[ED: Hardcover], [PU: Springer Verlag], sehr guter Zustand, AT, [SC: 6.50], wie neu, privates Angebot, 211, [GW: 400g], [PU: New York], Banküberweisung, PayPal, Expédition internationale,… Altro …
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Informazioni dettagliate del libro - Goodness-Of-Fit Statistics for Discrete Multivariate Data
EAN (ISBN-13): 9780387966823
ISBN (ISBN-10): 038796682X
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 1988
Editore: Springer-Verlag New York Inc.
228 Pagine
Peso: 0,502 kg
Lingua: eng/Englisch
Libro nella banca dati dal 2007-02-11T12:11:53+01:00 (Zurich)
Pagina di dettaglio ultima modifica in 2024-03-05T17:37:39+01:00 (Zurich)
ISBN/EAN: 038796682X
ISBN - Stili di scrittura alternativi:
0-387-96682-X, 978-0-387-96682-3
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : cressie, read, noel tyl, kullback
Titolo del libro: title supplied, goodness, multivariate statistic, using multivariate statistics, data, springer series
Dati dell'editore
Autore: Timothy R.C. Read; Noel A.C. Cressie
Titolo: Springer Series in Statistics; Goodness-of-Fit Statistics for Discrete Multivariate Data
Editore: Springer; Springer US
212 Pagine
Anno di pubblicazione: 1988-08-01
New York; NY; US
Lingua: Inglese
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XII, 212 p.
BB; Hardcover, Softcover / Mathematik/Sonstiges; Angewandte Mathematik; Verstehen; Chi-squared distribution; Estimator; Likelihood; Variance; best fit; information theory; multinomial distribution; Applications of Mathematics; BC
1 Introduction to the Power-Divergence Statistic.- 1.1 A Unified Approach to Model Testing.- 1.2 The Power-Divergence Statistic.- 1.3 Outline of the Chapters.- 2 Defining and Testing Models: Concepts and Examples.- 2.1 Modeling Discrete Multivariate Data.- 2.2 Testing the Fit of a Model.- 2.3 An Example: Time Passage and Memory Recall.- 2.4 Applying the Power-Divergence Statistic.- 2.5 Power-Divergence Measures in Visual Perception.- 3 Modeling Cross-Classified Categorical Data.- 3.1 Association Models and Contingency Tables.- 3.2 Two-Dimensional Tables: Independence and Homogeneity.- 3.3 Loglinear Models for Two and Three Dimensions.- 3.4 Parameter Estimation Methods: Minimum Distance Estimation.- 3.5 Model Generation: A Characterization of the Loglinear, Linear, and Other Models through Minimum Distance Estimation.- 3.6 Model Selection and Testing Strategy for Loglinear Models.- 4 Testing the Models: Large-Sample Results.- 4.1 Significance Levels under the Classical (Fixed-Cells) Assumptions.- 4.2 Efficiency under the Classical (Fixed-Cells) Assumptions.- 4.3 Significance Levels and Efficiency under Sparseness Assumptions.- 4.4 A Summary Comparison of the Power-Divergence Family Members.- 4.5 Which Test Statistic?.- 5 Improving the Accuracy of Tests with Small Sample Size.- 5.1 Improved Accuracy through More Accurate Moments.- 5.2 A Second-Order Correction Term Applied Directly to the Asymptotic Distribution.- 5.3 Four Approximations to the Exact Significance Level: How Do They Compare?.- 5.4 Exact Power Comparisons.- 5.5 Which Test Statistic?.- 6 Comparing the Sensitivity of the Test Statistics.- 6.1 Relative Deviations between Observed and Expected Cell Frequencies.- 6.2 Minimum Magnitude of the Power-Divergence Test Statistic.- 6.3 Further Insights into the Accuracy of Large-Sample Approximations.- 6.4 Three Illustrations.- 6.5 Transforming for Closer Asymptotic Approximations in Contingency Tables with Some Small Expected Cell Frequencies.- 6.6 A Geometric Interpretation of the Power-Divergence Statistic.- 6.7 Which Test Statistic?.- 7 Links with Other Test Statistics and Measures of Divergence.- 7.1 Test Statistics Based on Quantiles and Spacings.- 7.2 A Continuous Analogue to the Discrete Test Statistic.- 7.3 Comparisons of Discrete and Continuous Test Statistics.- 7.4 Diversity and Divergence Measures from Information Theory.- 8 Future Directions.- 8.1 Hypothesis Testing and Parameter Estimation under Sparseness Assumptions.- 8.2 The Parameter ? as a Transformation.- 8.3 A Generalization of Akaike’s Information Criterion.- 8.4 The Power-Divergence Statistic as a Measure of Loss and a Criterion for General Parameter Estimation.- 8.5 Generalizing the Multinomial Distribution.- Historical Perspective: Pearson’s X2 and the Loglikelihood Ratio Statistic G2.- 1. Small-Sample Comparisons of X2 and G2 under the Classical (Fixed-Cells) Assumptions.- 2. Comparing X2 and G2 under Sparseness Assumptions.- 3. Efficiency Comparisons.- 4. Modified Assumptions and Their Impact.- Appendix: Proofs of Important Results.- A1. Some Results on Rao Second-Order Efficiency and Hodges-Lehmann Deficiency (Section 3.4).- A2. Characterization of the Generalized Minimum Power-Divergence Estimate (Section 3.5).- A3. Characterization of the Lancaster-Additive Model (Section 3.5).- A4. Proof of Results (i), (ii), and (iii) (Section 4.1).- A5. Statement of Birch’s Regularity Conditions and Proof that the Minimum Power-Divergence Estimator Is BAN (Section 4.1).- A6. Proof of Results (i*), (ii*), and (iii*) (Section 4.1).- A7. The Power-DivergenceGeneralization of the Chernoff-Lehmann Statistic: An Outline (Section 4.1).- A8. Derivation of the Asymptotic Noncentral Chi-Squared Distribution for the Power-Divergence Statistic under Local Alternative Models (Section 4.2).- A9. Derivation of the Mean and Variance of the Power-Divergence Statistic for ? > -1 under a Nonlocal Alternative Model (Section 4.2).- A10. Proof of the Asymptotic Normality of the Power-Divergence Statistic under Sparseness Assumptions (Section 4.3).- A12. Derivation of the Second-Order Terms for the Distribution Function of the Power-Divergence Statistic under the Classical (Fixed-Cells) Assumptions (Section 5.2).- A13. Derivation of the Minimum Asymptotic Value of the Power-Divergence Statistic (Section 6.2).- A14. Limiting Form of the Power-Divergence Statistic as the Parameter ? ? ± ? (Section 6.2).- Author Index.Altri libri che potrebbero essere simili a questo:
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