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Institute of Mathematical Statistic
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Institute of Mathematical Statistic
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iv Contents Copulas and Decoupling
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vi Finally, thanks go the Statistic
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SCIENTIFIC PROGRAM The Second Erich
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x Recent Advances in Longitudinal D
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The Second Lehmann Symposium—Opti
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xiv Richard Davis Colorado State Un
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xvi Matthias Matheas Rice Universit
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xviii Hui Zhao University of Texas
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Proof. The maximum LR test rejects
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4. Location-scale families On likel
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6. Conclusions On likelihood ratio
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Student’s t-test for scale mixtur
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Student’s t-test for scale mixtur
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Student’s t-test for scale mixtur
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Optimality in multiple testing 17 w
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Optimality in multiple testing 19 I
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power 0.02 0.03 0.04 0.05 0.06 0.07
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Optimality in multiple testing 23 i
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Optimality in multiple testing 25 (
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Optimality in multiple testing 27 M
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6. Summary Optimality in multiple t
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Optimality in multiple testing 31 [
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On the false discovery proportion 3
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On the false discovery proportion 3
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On the false discovery proportion 3
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≤ N� � N� P m=1 On the fals
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Since j≤ s, it follows that On th
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0.025 0.02 0.015 0.01 0.005 On the
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On the false discovery proportion 4
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On the false discovery proportion 4
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Massive multiple hypotheses testing
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Massive multiple hypotheses testing
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Massive multiple hypotheses testing
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Massive multiple hypotheses testing
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P value EDF qdf 0.0 0.2 0.4 0.6 0.8
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Massive multiple hypotheses testing
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Proof. See Appendix. Massive multip
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X1 Massive multiple hypotheses test
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Massive multiple hypotheses testing
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0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4
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Then π0α ∗ cal π0α ∗ cal +
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Massive multiple hypotheses testing
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Frequentist statistics: theory of i
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Frequentist statistics: theory of i
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2.3. Failure and confirmation Frequ
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3.1. Types of null hypothesis Frequ
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Frequentist statistics: theory of i
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Frequentist statistics: theory of i
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Frequentist statistics: theory of i
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Frequentist statistics: theory of i
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Frequentist statistics: theory of i
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Frequentist statistics: theory of i
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together with the probabilistic ass
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Statistical models: problem of spec
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Modeling inequality, spread in mult
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Modeling inequality, spread in mult
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Modeling inequality, spread in mult
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Modeling inequality, spread in mult
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Modeling inequality, spread in mult
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Semiparametric transformation model
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2.1. The model Semiparametric trans
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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6.3. Part (ii) Put (6.1) (6.2) ˙Γ
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Semiparametric transformation model
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8. Proof of Proposition 2.3 Semipar
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Semiparametric transformation model
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Semiparametric transformation model
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Semiparametric transformation model
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Bayesian transformation hazard mode
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Bayesian transformation hazard mode
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Bayesian transformation hazard mode
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Cumulative Hazard 0.0 0.2 0.4 0.6 0
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Hazard function 0.0 0.5 1.0 1.5 2.0
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Bayesian transformation hazard mode
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Copulas, information, dependence an
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Regression trees 211 right model in
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Local asymptotic minimax risk/asymm
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Then (3.5) Local asymptotic minimax
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Local asymptotic minimax risk/asymm
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Local asymptotic minimax risk/asymm
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Moment-density estimation 323 may n
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3. The bias and MSE of ˆf ∗ α M
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Moment-density estimation 327 Corol
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Moment-density estimation 329 Suppo
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6. Simulations Moment-density estim
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Moment-density estimation 333 [7] M
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for positive α, and for α = 0 as
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Asymptotics of the MDPDE 337 Lemma
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Asymptotics of the MDPDE 339 asympt