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1.

図書
図書
1. An introduction to measure-theoretic probability
George G. Roussas
出版情報: Amsterdam ; Tokyo : Elsevier Academic Press, c2005  xviii, 443 p. ; 24 cm
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目次情報: 続きを見る
Preface
Certain Classes of Sets, Measurability, Pointwise Approximation / 1：
Definition and Construction of a Measure and Its Basic Properties / 2：
Some Modes of Convergence of a Sequence of Random Variables and Their Relationships / 3：
The Integral of a Random Variable and Its Basic Properties / 4：
Standard Convergence Theorems, The Fubini Theorem / 5：
Standard Moment and Probability Inequalities, Convergence in the r-th Mean and Its Implications / 6：
The Hahn-Jordan Decomposition Theorem, The Lebesgue Decomposition Theorem, and The Radon-Nikcodym Theorem / 7：
Distribution Functions and Their Basic Properties, Helly-Bray Type Results / 8：
Conditional Expectation and Conditional Probability, and Related Properties and Results / 9：
Independence / 10：
Topics from the Theory of Characteristic Functions / 11：
The Central Limit Problem: The Centered Case / 12：
The Central Limit Problem: The Noncentered Case / 13：
Topics from Sequences of Independent Random Variables / 14：
Topics from Ergodic Theory / 15：
Preface
Certain Classes of Sets, Measurability, Pointwise Approximation / 1：
Definition and Construction of a Measure and Its Basic Properties / 2：
2.

図書
図書
2. Contiguity of probability measures : some applications in statistics
George G. Roussas
出版情報: London : Cambridge University Press, 1972  xiii, 248 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; 63
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On the concept of contiguity and related theorems / 1：
Asymptotic expansion and asymptotic distribution of likelihood functions / 2：
Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency / 3：
Some statistical applications: AUMP and AUMPU tests for certain testing hypotheses problems / 4：
Some statistical applications: asymptotic efficiency of estimates / 5：
Multiparameter asymptotically optimal tests / 6：
On the concept of contiguity and related theorems / 1：
Asymptotic expansion and asymptotic distribution of likelihood functions / 2：
Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency / 3：
3.

図書
図書
3. Nonparametric functional estimation and related topics
edited by George Roussas
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1991  xiii, 708 p. ; 25 cm
シリーズ名: NATO ASI series ; Series C . Mathematical and physical sciences ; vol. 335
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