src/HOL/Probability/Probability_Space.thy
2011-01-24 hoelzl 2011-01-24 use pre-image measure, instead of image
2011-01-14 hoelzl 2011-01-14 tuned formalization of subalgebra
2011-01-14 hoelzl 2011-01-14 introduced integral syntax
2010-12-08 hoelzl 2010-12-08 use SUPR_ and INFI_apply instead of SUPR_, INFI_fun_expand
2010-12-08 hoelzl 2010-12-08 cleanup bijectivity btw. product spaces and pairs
2010-12-03 hoelzl 2010-12-03 it is known as the extended reals, not the infinite reals
2010-12-01 hoelzl 2010-12-01 Support product spaces on sigma finite measures. Introduce the almost everywhere quantifier. Introduce 'morphism' theorems for most constants. Prove uniqueness of measures on cut stable generators. Prove uniqueness of the Radon-Nikodym derivative. Removed misleading suffix from borel_space and lebesgue_space. Use product spaces to introduce Fubini on the Lebesgue integral. Combine Euclidean_Lebesgue and Lebesgue_Measure. Generalize theorems about mutual information and entropy to arbitrary probability spaces. Remove simproc mult_log as it does not work with interpretations. Introduce completion of measure spaces. Change type of sigma. Introduce dynkin systems.
2010-09-13 nipkow 2010-09-13 renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
2010-09-07 nipkow 2010-09-07 expand_fun_eq -> ext_iff expand_set_eq -> set_ext_iff Naming in line now with multisets
2010-09-02 hoelzl 2010-09-02 Moved lemmas to appropriate locations
2010-09-02 hoelzl 2010-09-02 merged
2010-09-02 hoelzl 2010-09-02 move lemmas to correct theory files
2010-08-27 hoelzl 2010-08-27 factorizable measurable functions
2010-08-27 hoelzl 2010-08-27 Introduced sigma algebra generated by function preimages.
2010-08-27 hoelzl 2010-08-27 vimage of measurable function is a measure space
2010-08-27 hoelzl 2010-08-27 added definition of conditional expectation
2010-08-27 hoelzl 2010-08-27 proved existence of conditional expectation
2010-08-26 hoelzl 2010-08-26 introduced integration on subalgebras
2010-08-23 hoelzl 2010-08-23 Rewrite the Probability theory. Introduced pinfreal as real numbers with infinity. Use pinfreal as value for measures. Introduces Lebesgue Measure based on the integral in Multivariate Analysis. Proved Radon Nikodym for arbitrary sigma finite measure spaces.
2010-05-03 hoelzl 2010-05-03 Cleanup information theory
2010-03-26 hoelzl 2010-03-26 Added finite measure space.
2010-03-23 hoelzl 2010-03-23 Unhide measure_space.positive defined in Caratheodory.
2010-03-04 hoelzl 2010-03-04 Add Lebesgue integral and probability space.