Almost measurable functions on probability spaces
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Alexander Kharazishvili
Abstract
The notion of (real-valued) almost measurable functions on probability spaces is introduced and some of their properties are considered. It is shown that any almost measurable function may be treated as a quasi-random variable in the sense of [A. Kharazishvili, On some version of random variables, Trans. A. Razmadze Math. Inst. 177 2023, 1, 143–146].
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Articles in the same Issue
- Frontmatter
- Numerical approaches for solution of hyperbolic difference equations on circle
- A note on b-generalized (α,β)-derivations in prime rings
- Analytic solution to functional differential equations via Bell’s polynomials
- Floquet theory and stability for a class of first order differential equations with delays
- Representations of a number in an arbitrary base with unbounded digits
- V_a -deformed free convolution and variance function
- Generalized essential spectra involving the class of g-g-Riesz operators
- On perturbation of continuous frames in Hilbert C *-modules
- Almost measurable functions on probability spaces
- On φ-u-S-flat modules and nonnil-u-S-injective modules
- Busemann--Petty-type problem for μ-intersection bodies
- On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition
- A generalization of Hardy’s inequality to infinite tensors
- A note on maximal estimate for an oscillatory operator
- Some summation theorems and transformations for hypergeometric functions of Kampé de Fériet and Srivastava
- On the correspondence between periodic solutions of differential and dynamic equations on periodic time scales
Articles in the same Issue
- Frontmatter
- Numerical approaches for solution of hyperbolic difference equations on circle
- A note on b-generalized (α,β)-derivations in prime rings
- Analytic solution to functional differential equations via Bell’s polynomials
- Floquet theory and stability for a class of first order differential equations with delays
- Representations of a number in an arbitrary base with unbounded digits
- V_a -deformed free convolution and variance function
- Generalized essential spectra involving the class of g-g-Riesz operators
- On perturbation of continuous frames in Hilbert C *-modules
- Almost measurable functions on probability spaces
- On φ-u-S-flat modules and nonnil-u-S-injective modules
- Busemann--Petty-type problem for μ-intersection bodies
- On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition
- A generalization of Hardy’s inequality to infinite tensors
- A note on maximal estimate for an oscillatory operator
- Some summation theorems and transformations for hypergeometric functions of Kampé de Fériet and Srivastava
- On the correspondence between periodic solutions of differential and dynamic equations on periodic time scales
