AuthorKalbfleisch, J. G. author
TitleProbability and Statistical Inference [electronic resource] / by J. G. Kalbfleisch
ImprintNew York, NY : Springer US, 1979
Connect tohttp://dx.doi.org/10.1007/978-1-4684-0091-5
Descript online resource

CONTENT

ContentsโVolume II -- 9. Likelihood Methods -- 9.1 The Method of Maximum Likelihood -- 9.2 Computational Methods -- 9.3 Combining Independent Likelihoods -- 9.4 Relative Likelihood -- 9.5 Likelihood for Continuous Models -- 9.6 Censoring in Lifetime Experiments -- 9.7 Invariance and Other Properties -- 9.8 Sufficient Statistics -- *9.9 Long-run Properties -- 10. Two-Parameter Likelihoods -- 10.1 Introduction -- *10.2 An Example from Life-Testing -- *10.3 Dosage Response Models -- *10.4 An Example from Learning Theory -- *10.5 Elimination of Nuisance Parameters -- 11. Checking the Model -- 11.1 Goodness of Fit Tests -- 11.2 Examples: Approximate Goodness of Fit Tests -- 11.3 Examples: Exact Goodness of Fit Tests -- 11.4 Empirical Cumulative Distribution Function -- 11.5 Quantile Plots -- 12. Tests of Significance -- 12.1 Formulation and Interpretation of Significance 132 Tests -- 12.2 Tests of Composite Hypotheses -- 12.3 Tests in 2ร2 Contingency Tables -- 12.4 Testing for Independence in aรb Contingency 158 Tables -- 12.5 Likelihood Ratio Tests -- 12.6 Approximate Likelihood Ratio Tests -- 12.7 Two-tail Tests -- *12.8 Ancillary Statistics -- *12.9 Power -- 13. Intervals from Significance Tests -- 13.1 Confidence Intervals -- 13.1 Approximate Confidence Intervals -- 13.3 Intervals from Normal Likelihoods -- 13.4 Combining Normal Likelihoods -- *13.5 Expected Information -- 14. Inferences for Normal Distribution Parameters -- 14.1 Introduction -- 14.2 One-sample Problems -- 14.3 Analysis of Differences -- 14.4 Comparison of Two Means -- 14.5 Comparison of Two Variances -- 14.6 k-sample Problems -- Review Problems -- 15. Fitting a Straight Line -- 15.1 Linear Models -- 15.2 Parameter Estimates -- 15.3 Tests of Significance and Confidence Intervals -- 15.4 Residual Plots and Tests of Fit -- 16. Topics in Statistical Inference -- *16.1 The Fiducial Argument -- *16.2 Bayesian Methods -- *16.3 Prediction -- *16.4 Inferences from Predictive Distributions -- *16.5 Testing a True Hypothesis -- Appendix A. Answers to Selected Problems -- Index to Volume II


SUBJECT

  1. Mathematics
  2. Probabilities
  3. Mathematics
  4. Probability Theory and Stochastic Processes